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da Vinci Technologies EE Pro User Manual

Pocket professional series software application on ti-89 and ti-92 plus
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PocketProfessional™ Series
EE Pro
®
User's Guide
June 1999
© da Vinci Technologies Group, Inc.
Rev. 1.0
da Vinci Technologies Group, Inc.
1600 S.W. Western Blvd
Suite 250
Corvallis, OR 97333
www.dvtg.com

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Summary of Contents for da Vinci Technologies EE Pro

  • Page 1 PocketProfessional™ Series EE Pro ® User’s Guide June 1999 © da Vinci Technologies Group, Inc. Rev. 1.0 da Vinci Technologies Group, Inc. 1600 S.W. Western Blvd Suite 250 Corvallis, OR 97333 www.dvtg.com...
  • Page 2 This manual and the examples contained herein are provided “as is” as a supplement to EE Pro application software available from Texas Instruments for TI-89, and 92 Plus platforms. Da Vinci Technologies Group, Inc. (“da Vinci”) makes no warranty of any kind with regard to this manual or the accompanying software, including, but not limited to, the implied warranties of merchantability and fitness for a particular purpose.

  • Page 3: Table Of Contents

    1.5 Differences between TI-89 and TI-92 plus ........
  • Page 4 Filter Design ............. . . 25 6.1 Chebyshev Filter .
  • Page 5 15.7 Graphing a Function..........4 15.8 Storing and recalling variable values in EE Pro-creation of session folders ..5 15.9 solve, nsolve, and csolve and user-defined functions (UDF) .
  • Page 6 17.5 Parallel Wires ............17 Example 17.5 .
  • Page 7 21.4 RC Step Response ........... 42 Example 21.4 .
  • Page 8 Variables ..............68 26.1 Basic Inverter .
  • Page 9 Example 28.2 ........... . . 104 28.3 BJT (Common Collector) .
  • Page 10 31.8 DC Series Motor ........... 133 Example 31.8 .
  • Page 11 Appendix C Bibliography ............7 Appendix D TI 89 and TI 92 plus- Display and Keystroke Differences ....9 Display Property Differences between the TI-89 and TI-92 plus .

  • Page 12: Introduction To Ee Pro

    Many long hours and late nights have been spent by the designers of this software to compile and organize the subject material in this software. We hope you enjoy EE Pro and that it serves as a valuable companion in your electrical engineering career.

  • Page 13: Memory Requirements

    1.3 Manual Ordering Information Chapters and Appendices of the manual for EE Pro can be downloaded from TI’s web store and viewed using the free Adobe Acrobat Reader which can be downloaded from http://www.adobe.com (it is recommended that you use the latest version of the Acrobat reader and use the most updated driver for your printer).

  • Page 14: Differences Between Ti-89 And Ti-92 Plus

    1.5 Differences between TI-89 and TI-92 plus EE Pro is designed for two models of graphing calculators from Texas Instruments, the TI-92 Plus and the TI-89. For consistency, keystrokes and symbols used in the manual are consistent with the TI-89. Equivalent key strokes for the TI-92 plus are listed in Appendix D.

  • Page 15: Disclaimer

    1.9 Summary The designers of EE Pro have attempted to maintain the following features: Easy-to-use, menu-based interface. Computational efficiency for speed and performance.

  • Page 16: Part I: Analysis

    Introduction to Analysis key. This accesses a pull down menu listing key to move the cursor bar to EE Pro Elec. Eng. and press key on TI-92 Plus to get to the home screen of EE•Pro. Pull down Menu on TI -89 for...
  • Page 17 Pop up menu in Two-Port Networks Input Type EE Pro for TI - 89, 92 Plus Analysis - Introduction to Analysis . Alternatively, any section can be accessed by entering will display a pop up menu for AC Circuits, while Pull down menu for Analysis;...

  • Page 18: Solving Problems In Analysis

    The results of the computation are displayed in the result screen shown below. Inputs entered, ready to solve. EE Pro for TI - 89, 92 Plus Analysis - Introduction to Analysis Parameter 11_; when h parameter is selected this changes to 11_.

  • Page 19: Special Function Keys In Analysis Routines

    Table 2-1 Description of the Function keys Function Key Description Labeled "Tools" - contains all the functions available on the TI-89 at the Home screen level. These functions are: Labeled "Solve" - Is the primary key in various input screens. Pressing this key enables the software to begin solving a selected problem and display any resulting output to the user.

  • Page 20: Data Fields Analysis Functions And Sample Problems

    (output) to the input. Pop up menu of elements for Ladder Network EE Pro for TI - 89, 92 Plus Analysis - Introduction to Analysis 6: (know)- Not active...
  • Page 21 (k), IRR, NPV, Payback period. Screen displays shown here illustrate the basic user interface. Input Screen for Capital Budgeting EE Pro for TI - 89, 92 Plus Analysis - Introduction to Analysis Graphing Parameters for...

  • Page 22: Example 2.1

    4. Enter the value of z0 for Zoc_, z1 of Zsc_, d1 for d and f1 for f. 5. Press the Solve key 6. The results of the calculations are displayed in the data screen as shown below. EE Pro for TI - 89, 92 Plus Analysis - Introduction to Analysis Computed output...

  • Page 23: Example 2.3

    Pull down menu of Pop up menu for Gain and Frequency Graphing parameters EE Pro for TI - 89, 92 Plus Analysis - Introduction to Analysis Calculated Output also symbolic key to display the pull down menu listing all the sections to select this option.

  • Page 24: Session Folders, Variable Names

    EE•Pro’s variables, run EE•Pro in a separate folder. Reserved Variables There is a list of reserved variable names used by the TI operating system which cannot be used as user variable names or entries. These reserved variables are listed in Appendix F.

  • Page 25: Ac Circuits

    Enter a real number or algebraic expression of defined terms. ZZ_: (Impedance in ohms) Returns a real or complex number. YY_: (Admittance in Siemens) Returns a real or complex number. EE Pro for TI-89, 92 Plus Analysis - AC Circuits AC Circuits ™Current Divider ™Circuit Performance...

  • Page 26: Example 3.1

    Calculate the voltage drop across a series of loads connected to a voltage source of (110+25*i) volts. The load consists of a 50 ohm resistor, and impedances of (75+22*i), and (125-40*i) ohms. Input Screen EE Pro for TI-89.,92Plus Analysis - AC Circuits Output Screen Press ¸...

  • Page 27: Current Divider

    VL_ and I_. 5. The results of the computation are displayed in the screen shown above along with a Pretty Print display of the expression for I_. EE Pro for TI-89.,92Plus Analysis - AC Circuits Current Divider - Admittances Press to select Impedance or Admittance.

  • Page 28: Circuit Performance

    Calculate the performance parameters of a circuit consisting of a current source (10 - 5*i) with a source admittance of .0025 - .0012*i and a load of .0012 + .0034*i. EE Pro for TI-89.,92Plus Analysis - AC Circuits A real or complex number, variable name, or algebraic expression of defined terms.
  • Page 29 3. Enter the value .0025 - .0012*i for Ys_, and .0012 + .0034*i for a load of YL_. 4. Press to calculate the performance parameters. 5. The input and results of computation are shown above. EE Pro for TI-89.,92Plus Analysis - AC Circuits...

  • Page 30: Polyphase Circuits

    ZZ2_: (Y Impedance) Real or complex number or algebraic expression. ZZ3_: (Y Impedance) Real or complex number or algebraic expression. EE Pro for TI-89, 92 Plus Analysis - Polyphase Circuits Polyphase Circuits arrangements in Polyphase Circuits. ™Balanced Wye or Wye or Wye Impedances.

  • Page 31: Example 4.1

    A Wye network consists of three impedances of 50 + 25*i with a line voltage of 110 volts across line 1 and 2. Find the line current and power measured in a two-wattmeter measurement system. EE Pro for TI-89, 92 Plus Analysis - Polyphase Circuits...

  • Page 32: Balanced Load

    Enter a real or complex number, variable name, or algebraic expression of defined terms. Result Fields VBC_: (Voltage in V across lines B and C) EE Pro for TI-89, 92 Plus Analysis - Polyphase Circuits Fig. 4.3 Balanced Wye network with 2 wattmeters Output Screen (lower half) I2_: -1.13403 - .068068*i...

  • Page 33: Example 4.2

    IA_: 3.4021 - .204205* i IB_: -1.8779 – 2.8442* i EE Pro for TI-89, 92 Plus Analysis - Polyphase Circuits Fig. 4.4 Wattmeter Measurement in a Delta Circuit A real or complex number, or algebraic exp. A real or complex number, or algebraic exp.

  • Page 34: Load

    Inductor - (ideal inductor) An inductor can be added as a rung (parallel) or side (series)). Choose Series or Parallel for Config, and enter a value for L in henrys. EE Pro for TI-89.92 Plus Analysis - Ladder Networks Ladder Network...
  • Page 35 Gyrator- (synthetic inductance filter) A gyrator can be added only in cascade connection. Specify gyrator parameter by entering a value for . EE Pro for TI-89.92 Plus Analysis - Ladder Networks Series C Series RL...
  • Page 36 (Forward Voltage Transfer Ratio) Returns a real or complex number, variable name or algebraic V2/I1_: (Forward Transfer Impedance in ohms) EE Pro for TI-89.92 Plus Analysis - Ladder Networks (hie) z, y, h, g, a, Returns a real or complex number, variable name or algebraic expression.

  • Page 37: Using The Ladder Network

    Entering Load and Frequency Typical Edit Screen for an Element Output Screen at 1 MHz EE Pro for TI-89.92 Plus Analysis - Ladder Networks to insert the first element. Choose an element type and to update the ladder with the new element just added. A...
  • Page 38 0.638 F Capacitor Fig 5.3. Simplified Transistor Amplifier Circuit Input Screen EE Pro for TI-89.92 Plus Analysis - Ladder Networks to accept the element data and press to enter the second element in this circuit. to accept the value and press , the delete key.
  • Page 39 Current-Controlled I: Enter 2500 ohms for RB and 100 for Resistor: Parallel, 1E6 ohms. Capacitor: Series, 0.638E-6 farads. 3. Press to compute the results, which are displayed in the output screen above. EE Pro for TI-89.92 Plus Analysis - Ladder Networks...

  • Page 40: Filter Design

    (Attenuation in dB) Bandwidth: (Bandwidth in Hz - only appears for Band Pass or Band Elimination) Enter a real number. Ripple: (Pass Band Ripple in dB) EE Pro for TI-89, 92 Plus Analysis - Filter Design Filter Design Odd Elements Even Elements Fig.

  • Page 41: Example 6.1

    Element 1 Low Pass High Pass Band Pass Band Elimination Fig. 6.2 Elements for Butterworth Filter, basic design EE Pro for TI-89, 92 Plus Analysis - Filter Design Output Screen Element 2 Element 4 Element 3 Odd Elements Even Elements Returns a real Returns a real number.

  • Page 42: Example 6.2

    This topic covers computation of element values for the standard active filter circuits shown below. In each case, five different elements are calculated Low Pass Filter EE Pro for TI-89, 92 Plus Analysis - Filter Design Press to select Low Pass, High Pass, Band Pass, or Band Elimination.

  • Page 43: Example 6.3

    2. Enter 10 for f0 and 10 for A. 3. Enter 1 for Q and 1E-6 for C. 4. Press to calculate the results are displayed on the screen above. EE Pro for TI-89, 92 Plus Analysis - Filter Design Fig. 6.3 Active Filter Configurations Press to select Low Pass, High Pass, or Band Pass.

  • Page 44: Gain And Frequency

    (Numerator Coefficients - if Coefficients is chosen for input type) Denom list: (Denominator Coefficients - if Coefficients is chosen for input type) H(s)_: (Transfer Function) EE Pro for TI-89, 92 Plus Analysis - Gain and Frequency Gain and Frequency Press to select Roots or Coefficients. Determines whether the third and fourth fields are Zeros and Poles or Numer and Denom.

  • Page 45: Bode Diagrams

    (Transfer Function) Indep: (Independent Variable Graph Type: (Bode Gain or Bode Phase) EE Pro for TI-89, 92 Plus Analysis - Gain and Frequency Output screen . Alternatively, the to return to the Gain and Frequency screen and Enter a symbolic expression.
  • Page 46 1. In order to graph the phase of the transfer function, select Phase for Graph Type. Follow graphing sequence as defined in the section above. EE Pro for TI-89, 92 Plus Analysis - Gain and Frequency Enter a real number.

  • Page 47: Fourier Transforms

    1. Enter [1 2 3 4] for Time. to calculate and display results in the frequency domain Freq. 2. Press 3. The screen display of the output and the input are shown below. EE Pro for TI-89, 92 Plus Analysis - FFT Fourier Transforms v Inverse FFT -2 j k n N Enter an array or list of real or complex numbers.

  • Page 48: Inverse Fft

    Time. 2. Press 3. The screen display shows the computed results. Input Screen EE Pro for TI-89, 92 Plus Analysis - FFT 2 j k n N Enter an array or list of real or complex numbers.

  • Page 49: Two-Port Networks

    I 1, V 2 I 2, V 1 V 2, I 2 V 1, I 1 EE Pro for TI - 89, 92 Plus Analysis - Two-Port Networks Two-Port Networks Many electrical or electronic systems are often modeled as two-port...

  • Page 50: Example 9.1

    Press „ to calculate the results which are displayed in the output screen shown below. Input Screen EE Pro for TI - 89, 92 Plus Analysis - Two-Port Networks automatically updates the names of the remaining parameter to reflect the choice...

  • Page 51: Circuit Performance

    =2 volts, Zs_ = 25 ohms, and ZL_= 50 ohms. Press „ to solve for the characteristics. The result of the calculations is presented below: EE Pro for TI - 89, 92 Plus Analysis - Two-Port Networks z, y, h, g, a...

  • Page 52: Connected Two-Ports

    5. Parallel-Series: The inputs of the two networks are connected in parallel, while the outputs are connected in series. This section accepts parameters for either network as the choice made. EE Pro for TI - 89, 92 Plus Analysis - Two-Port Networks Results: Upper Half 11989.03667 ohms -.033236 amps...

  • Page 53: Example 9.3

    Press „ to complete the computation. The resulting data is shown in the screen displays shown. Input screen showing z parameters for the first two-port. EE Pro for TI - 89, 92 Plus Analysis - Two-Port Networks Press ¸ to select Cascade, Series Series, Parallel Parallel, Series Parallel, or Parallel Series.

  • Page 54: Transformer Calculations

    110 volts, and a current of 1 ampere and a power of 45 watts. The secondary open circuit voltage is 440 volts. Find the circuit parameters of the transformer EE Pro for TI -89, 92 Plus Analysis - Transformer Calculations Transformer Calculations ™Chain parameters...

  • Page 55: Short Circuit Test

    The power supplied for the test is 5 watts. The transformer has a kVA rating of 30 and a primary voltage rating of 110 volts. Find the parameters of the of the transformer. Input Screen EE Pro for TI -89, 92 Plus Analysis - Transformer Calculations Output Screen Magnitude only.

  • Page 56: Chain Parameters

    Enter .2 for n, .001 and -.005 for Gc and Bc respectively. Press „ to calculate the results, displayed in the output screen above. EE Pro for TI -89, 92 Plus Analysis - Transformer Calculations Vin = A Vout – B Iout Iin = C Vout –...
  • Page 57 EE Pro for TI -89, 92 Plus Analysis - Transformer Calculations...

  • Page 58: Transmission Lines

    (Frequency in Hz) Field Descriptions - Output Screen ZZ0_: (Characteristic Impedance in ) YY0_: (Characteristic Admittance in Siemens) (Neper Constant in 1/unit length) EE Pro for TI 89, 92 Plus Analysis - Transmission Lines Transmission Lines ™Fault Location Estimate ™Stub Impedance Matching A real number, variable name or algebraic expression of defined terms, L 0.

  • Page 59: Example 11.1

    Field Descriptions - Input Screen Zoc_: (Open Circuit Impedance in ) Zsc_: (Short Circuit Impedance in ) EE Pro for TI 89, 92 Plus Analysis - Transmission Lines Returns a real number, or algebraic expression. Returns a real number or algebraic expression.

  • Page 60: Example 11.2

    (Input Reactance in ) RR0: (Characteristic Resistance in ) (Phase Constant - degrees or radians /unit length) EE Pro for TI 89, 92 Plus Analysis - Transmission Lines Enter a real number or algebraic expression of defined terms or variable.

  • Page 61: Example 11.3

    (Electrical length of a short-circuited shunt stub at distance d2 from load in degrees or radians) * d2-oc: (Electrical length of an open-circuited shunt stub at distance d2 from load in degrees or radians) EE Pro for TI 89, 92 Plus Analysis - Transmission Lines A real number, variable name, or algebraic expression of defined terms.

  • Page 62: Example 11.4

    Input Screen Enter the values 50 and 75 for RR0, and ZL_ respectively. Press „ to calculate the results as shown in the screen displays above. EE Pro for TI 89, 92 Plus Analysis - Transmission Lines Output Screen...

  • Page 63: Computer Engineering

    †/Modes dialog. With the exception of Binary Conversion, no numbers with fraction components are allowed to be entered. The TI-89 built-in binary conversion feature supports 32 bit word lengths. EE•Pro has extended this feature to allow the user to modify the word size between 1 and 128 bits.
  • Page 64 10001 10000 Note: The EE Pro introduces a new convention for entering the binary integers. Binary integers start with (b), octal numbers start with (o), decimal numbers with (d) and hexadecimal numbers by (h). This convention is introduced to ensure that the machine convention of using 0d would be interpreted properly when in hexadecimal mode.

  • Page 65: Binary Arithmetic

    (State of Carry and Range Flags) Returns Carry if the carry flag is set. Example 12.2 Multiply two real hexadecimal numbers 25a6 and 128d. EE Pro for TI-89, 92 Plus Analysis - Computer Engineering † activates mode dialog box. Enter an integer in the number base designated in †/Binary Mode or an integer preceded by the number base in parenthesis (b, d, o, or h).

  • Page 66: Register Operations

    ¸ to select. Note: Register operations set the carry flag if a 1 is rotated or shifted off the end; otherwise they carry flag is cleared. EE Pro for TI-89, 92 Plus Analysis - Computer Engineering Output Screen...

  • Page 67: Example 12.3

    Field Descriptions Binary: (Input Field) Bit #: (Bit Position - not active if B is selected) EE Pro for TI-89, 92 Plus Analysis - Computer Engineering Returns an integer result using the number base set in †/Binary Mode. Output Screen Enter an integer in the number base designated in †/Binary Mode or an...

  • Page 68: Binary Conversions

    Standard (referred to Standard 754), specifies two basic forms of floating-point formats: single and double precision. The single precision format has 23 bits (23-bit significands), and 32 bits overall. In EE Pro the computed output is in the single floating-point format. Binary entries in IEEE format are justified to the right with the last binary entry appearing in the 0 bit.

  • Page 69: Binary Comparisons

    (Input Field) Operator: (Binary Operation) Note: All binary comparison commands affect the carry flag only. EE Pro for TI-89, 92 Plus Analysis - Computer Engineering IEEE) Converts a real number to a binary number (binary, octal, decimal or hexadecimal). If a number with a fractional part is entered, the value is rounded to the nearest integer.

  • Page 70: Karnaugh Map

    Field Descriptions Minterms: (List if Minterms) Don’t Care: (List of Don’t Care Terms) EE Pro for TI-89, 92 Plus Analysis - Computer Engineering Returns 1 (True) or 0 (False). Output Screen A list of real positive integers representing the decimal number of the inputs for a true output.
  • Page 71 Pretty Print form of the resulting Sum of Products expression is shown. Variables that are associated with a prime (‘) indicates a logical inversion. EE Pro for TI-89, 92 Plus Analysis - Computer Engineering A character string consisting of one letter variable names such as ABCD with no spaces between variable names.

  • Page 72: Error Functions

    What is the value of erf(.25)? Input Screen Enter .25 for X. Choose ERF in Func. Press „ to calculate Result. EE Pro for TI-89, 92 Plus Analysis - Error Functions Error Functions e dt e dt Enter a real number, global name, or algebraic expression.

  • Page 73: Capital Budgeting

    NPV: (Net Present Value) IRR: (Internal Rate of Return) (Profitability Index) EE Pro for TI - 89, 92 Plus Analysis - Capital Budgeting Capital Budgeting ™Internal Rate of Return ™Profitability Index Press ¸ to select one of nine unique projects or edit the current name of the project by pressing †...

  • Page 74: Example 14.1

    -75,000 40,000 30,000 20,000 10,000 EE Pro for TI - 89, 92 Plus Analysis - Capital Budgeting Activation of this feature enables the overlay of each successive graph (projects) on the same axis. Press ¸ to activate. Press ¸ to activate.
  • Page 75 NPV=0. Using the built-in graphing capabilities of the TI 89, you can trace the graph to find the values of these two points. The TI 89 will give you the exact coordinates of any point along the graph.

  • Page 76: Introduction To Equations

    Chapter 15 The Equations section of EE Pro contains over 700 equations organized into 16 topic and 105 sub-topic menus. The user can select several equation sets from a particular sub-topic, display all the variables used in the set of equations, enter the values for the known variables and solve for the unknown variables.

  • Page 77: Viewing An Equation Or Result In Pretty Print

    Sometimes equations and calculated results exceed the display room of the calculator. The TI-89 and TI 92 plus include a built-in equation display feature called Pretty Print which is available in many areas of EE Pro and can be activated by highlighting a variable or equation and pressing the right arrow key B or pressing the † function key when it is designated as View.

  • Page 78: Viewing Multiple Solutions

    15.4 Viewing Multiple Solutions The math engine used by EE Pro is able to manage complex values for variables (where they are permitted) and calculate more than one solution in cases where multiple answers exist for an entered problem. When a multiple solution exists, the user is prompted to select the number of a series of computed answers to be displayed.

  • Page 79: Copy/Paste

    Press … to graph the function. Once the graph command has been executed, EE Pro will open a second window to display the plot. All of the TI graphing features are available and are displayed in the toolbar, including Zoom „, Trace …, Math ‡, etc.

  • Page 80: Storing And Recalling Variable Values In Ee Pro-Creation Of Session Folders

    In the EE Pro window, press N to view the equations in the sub-topic, select the equation to be graphed by highlighting and pressing ¸, press „ to display the list of variables in the equation and enter values.

  • Page 81: Solve, Nsolve, And Csolve And User-Defined Functions (Udf)

    (user-defined functions) are incorporated into the solving process and nsolve must be used. User defined functions which appear in some of the equation sets of EE Pro are erfc(x) erf(x), eeGALV(RR2, ….) and ni(TT).

  • Page 82: Why Can't I Compute A Solution

    These variables are defined during the equation setup process by the built-in multiple equation solver. EE Pro saves a copy of the problem, its inputs, its outputs, and a characterization of the type of solution in the user variables eeprob, eeinput, eeans, and eeanstyp. For the developer who is curious to know exactly how the problem was entered into the multiple equation solver, or about what the multiple equation solver returned, and to examine relevant strings.
  • Page 83 A: Induction Motor I B: Induction Motor II C: 1 Induction Motor D: Synchronous Machines EE Pro for TI - 89, 92 Plus Equations - Introduction to Equations 2: RC Series Impedance 3: Impedance - Admittance 4: 2 Z's in Series 5: 2 Z's in Parallel 11: Op.

  • Page 84: Resistive Circuits

    Source resistance Temperature 1 Temperature 2 Voltage Load voltage Source voltage Temperature coefficient Resistivity Conductivity EE Pro for TI - 89, 92 Plus Equations - Resistive Circuits Resistive Circuits ™Maximum Power Theorem ™V and I Source Equivalence Unit 1/ K...

  • Page 85: Resistance Formulas

    P, voltage V, current I, resistance R and conductance G in a variety of alternate forms. The final equation represents the reciprocity between resistance R and conductance G. EE Pro for TI - 89, 92 Plus Equations - Resistive Circuits Computed results Eq.

  • Page 86: Example 16.2

    Since there is only one equation in this topic, there is no need to make a choice of equation. Press „ to display the input screen. Enter the variable values and press „ to solve for the unknown variable. EE Pro for TI - 89, 92 Plus Equations - Resistive Circuits P V I Computed results Eq.

  • Page 87: Maximum Power Transfer

    Select these by highlighting and pressing the ¸ key. Press „ to display the input screen, enter the known variables and press „ to solve the unknowns. EE Pro for TI - 89, 92 Plus Equations - Resistive Circuits Computed results...

  • Page 88: Example 16.5

    Either form of the equation can be used to solve the equation. Press „ to display the user interface, enter the values of all known inputs, and press „ to solve for Is. EE Pro for TI - 89, 92 Plus Equations - Resistive Circuits Eq.

  • Page 89: Capacitors And Electric Fields

    Potential Potential along z axis Energy stored z axis distance from disk Relative permittivity Line charge Charge density EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields Capacitors, Electric Fields ™Coaxial Cable ™Sphere Unit unitless...

  • Page 90: Point Charge

    An aluminum wire suspended in air carries a charge density of 2.75E-15_coulombs/m. Find the electric field 50_cm away. Assume the relative permittivity of air to be 1.04. EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields Computed results , the relative permittivity must be entered as a known value.

  • Page 91: Charged Disk

    - Select the first equation by pressing ¸ key, press „ to display the input screen for this equation, enter all the known variables, and press „. The computed results are shown in the screen display above. EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields Computed results Computed Results Eq.

  • Page 92: Parallel Plates

    The equation listed under this topic represents the calculation of capacitance per unit length, transmission lines of radius ra and center to center spacing EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields which is .

  • Page 93: Example 17.5

    3.67E-15_coulombs/m, find the electric field at the outer edge of the inner conductor and potential between the two conductors. Compute the capacitance per m of the cable. EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields...

  • Page 94: Sphere

    Solution - Upon examining the problem, equations 17.7.1 and 17.7.3 are needed to compute a solution. Select these by highlighting each equation and pressing the ¸ key. Press „ to display the input EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields...
  • Page 95 Enter all the known variables, and press „ to solve the selected equation set. The computed results are shown in the screen display shown here. EE Pro for TI - 89, 92 Plus Equations - Capacitors & Electric Fields...

  • Page 96: Inductors And Magnetism

    Reff Effective resistance Wire radius Torque x axis distance y axis distance Distance to loop z axis EE PRO for TI - 89, 92 Plus Equations - Inductance & Magnetism Inductors and Magnetism ™Loop ™Coaxial Cable ™Skin Effect Unit radian...

  • Page 97: Long Line

    A thin conducting ribbon strip of width d is infinitely long and carrying a current Is amperes per meter. The x and y component of the magnetic field Bx and By are dependent upon the location described by (x, y) coordinates. EE PRO for TI - 89, 92 Plus Equations - Inductance & Magnetism Calculated Results Eq.

  • Page 98: Example 18.2

    1200_A and 1600_A in opposite directions. Find the force of attraction, the magnetic field generated midway between the wires and the inductance per unit length resulting from their proximity. Input Screen EE PRO for TI - 89, 92 Plus Equations - Inductance & Magnetism cosh Calculated Results Eq.

  • Page 99: Loop

    50 A, separated by a distance of 2 m from a wire of infinite length carrying a current of 30 A. The loop angle of incidence is 5 degrees relative to the parallel plane intersecting the infinite wire. EE PRO for TI - 89, 92 Plus Equations - Inductance & Magnetism...

  • Page 100: Coaxial Cable

    These two equations represent the effect of high frequency on the properties of a conductor. The first equation relates the skin depth, , with the frequency f and the resistivity , while the second equation EE PRO for TI - 89, 92 Plus Equations - Inductance & Magnetism Calculated Results Eq.
  • Page 101 Press „ to display the input screen, enter all the known variables and press „ to solve the selected equation set. The computed results are shown in the screen display shown here. EE PRO for TI - 89, 92 Plus Equations - Inductance & Magnetism Eq.

  • Page 102: Electron Motion

    L making the approximation that the Ls>>L. The final equation calculates the vertical displacement y inside the deflection region with distance z from entry into the plate region and subject to a deflecting voltage Vd. EE Pro for TI-89, 92 Plus Equations - Electron Motion Electron Motion ™Photoemission...
  • Page 103 ¸. Press „ to display the input screen, enter values of all known variables and press „ to solve the equation. The computed results are shown in the screen display above. -PQYP8CTKCDNGU8C %QORWVGF4GUWNVUX EE Pro for TI-89, 92 Plus Equations - Electron Motion me v L Ls...

  • Page 104: Thermionic Emission

    Equations - Electron Motion and contribute to the external current I. The current A S T e me v EE Pro display of Multiple Solution Sets Eq. 19.2.1 . It is heated to ), and the work function is 1.22_V, Calculated Results Eq.
  • Page 105 - Both equations are needed to solve the problem. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. EE Pro displays a notice that multiple solution sets exist for the entered data, in which case the user needs to select a solution which is meaningful to the application.

  • Page 106: Meters And Bridge Circuits

    Resistance, arm 1 Resistance, arm 2 Resistance, arm 3 Resistance, arm 4 Series resistance Series resistance EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits Meters and Bridge Circuits ™Owen Bridge ™Symmetrical Resistive Attenuator ™Unsymmetrical Resistive Attenuator...
  • Page 107 The second equation needs to be selected to solve this problem. Enter the known values for Isen, Vmax, and Vsen and press „ to solve the equation. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits Rm Isen...

  • Page 108: Wheatstone Bridge

    ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equations. The computed results are shown in the screen display above. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits...

  • Page 109: Wien Bridge

    Use the first, second and fourth equations to solve the problem. Press „ to display the input screen, enter all the known variables and press „ to solve for the unknowns. The computed results are shown in the screen display above. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits Rs Rx...

  • Page 110: Maxwell Bridge

    CC3 and CC4 and tempered by RR2, the variable resistance in the Lx arm of the bridge. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits to the frequency f.

  • Page 111: Symmetrical Resistive Attenuator

    20 db attenuation is desired, computing a and b will be adequate to design a Tee pad or a Pi pad. The resistance of each leg is computed by the terminating resistance by the multiplier factor. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits...

  • Page 112: Example 20.6

    The first two equations calculate Rj and Rk, the resistor values of the L network. The third equation determines the minimum loss of signal strength DB. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits...

  • Page 113: Example 20.7

    „ to solve the equation. The computed results are shown in the screen display above. Rj and Rk can be computed from the first two equations above. EE Pro for TI-89, 92 Plus Equations - Meters and Bridge Circuits Rl Rr Calculated Results Eq.

  • Page 114: Rl And Rc Circuits

    Capacitor voltage Inductor voltage Initial capacitor voltage Voltage stimulus Radian frequency Energy dissipated EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits RL and RC Circuits ™RC Step Response ™RL Series to Parallel ™RC Series to Parallel...

  • Page 115: Rl Natural Response

    These four equations define the natural response of an RC circuit with no energy sources. The first equation specifies the characteristic time constant in terms of the resistance R and the EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits Eq.

  • Page 116: Example 21.2

    An inductor circuit consisting of 25_mH inductance and 22.5_ resistance. Prior to applying a 100_V stimulus, the inductor carries a current of 100_mA. Find the current in and the voltage across the inductor after .01_s. EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits Eq. 21.2.1 Eq.

  • Page 117: Rc Step Response

    All three equations are needed to compute the solution for this problem. Press „ to display the input screen, enter all the known variables and press „ to solve. EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits...
  • Page 118 Example 21.5 - A 24_mH inductor has a quality factor of 5 at 10000_Hz. Find its series resistance and the parallel equivalent circuit parameters. EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits Eq. 21.5.1 Eq. 21.5.2 Eq.

  • Page 119: Rc Series To Parallel

    Qp in a symmetrical and complementary form. Rs Cs Cs Rs Rp Cp Rp Cp Rp Cp Rp Cp EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits Rs Cs Calculated Results Eq. 21.6.1 Eq. 21.6.2 Eq. 21.6.3 Eq.

  • Page 120: Example 21.6

    Select these by highlighting each equation and pressing the ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve. EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits Eq.

  • Page 121: Rlc Circuits

    ™Series Impedance ™Parallel Admittance ™RLC Natural Response Variables All the variables used here are listed along with a brief description and units. Variable EE Pro for TI-89, 92 Plus Equations – RLC Circuits RLC Circuits Description Neper’s frequency Constant Constant...

  • Page 122: Series Impedance

    All of the equations are needed to compute the solution for this problem. Press „ to display the input screen ,enter all of the known variables and press „ to solve for the unknowns. -PQYP8CTKCDNGU. %QORWVGF4GUWNVU EE Pro for TI-89, 92 Plus Equations – RLC Circuits Classical radian frequency Reactance...

  • Page 123: Parallel Admittance

    These frequencies are complex conjugates of each other which are computed from the resonant frequency 0, and Neper’s frequency , defined by the final two equations. EE Pro for TI-89, 92 Plus Equations – RLC Circuits BL BC Input and calculated results Eq.

  • Page 124: Example 22.3

    V0, and B2 is related to the initial inductor current I0, C, d and resistance R. The voltage v has an oscillation frequency of d. EE Pro for TI-89, 92 Plus Equations – RLC Circuits real...
  • Page 125 D1 and D2, , and time t. The constants D1 and D2 are defined in terms of the capacitor voltage V0 and the initial inductor current I0. EE Pro for TI-89, 92 Plus Equations – RLC Circuits...
  • Page 126 A1, A2, s1 and s2, and time t. The constants A1 and A2 relate to the initial capacitor voltage V0, the initial inductor current I0, s1 and s2: EE Pro for TI-89, 92 Plus Equations – RLC Circuits...

  • Page 127: Example 22.6

    „ to solve for the unknowns. The solver takes about five minutes to solve this problem. -PQYP8CTKCDNGU% %QORWVGF4GUWNVUU EE Pro for TI-89, 92 Plus Equations – RLC Circuits resistor in series with a 40 mH inductor and a 1 Calculated Results (Lower display) Eq.

  • Page 128: Variables

    Voltage across resistor Radian frequency Reactance Reactance 1 Reactance 2 Admittance Impedance 1 magnitude Impedance 2 magnitude Complex impedance Impedance magnitude EE Pro for TI-89, 92 Plus Equations - AC Circuits AC Circuits Two Impedances in Series Two Impedances in Parallel Unit...

  • Page 129: Rl Series Impedance

    All of the equations are needed to compute the solution for this problem. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE Pro for TI-89, 92 Plus Equations - AC Circuits b g b g...

  • Page 130: Rc Series Impedance

    ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE Pro for TI-89, 92 Plus Equations - AC Circuits and actual frequency f.

  • Page 131: Impedance Admittance

    The combined result of the two impedances in series is an impedance with a magnitude Zm and a phase angle . abs Zm abs Z m abs Z m EE Pro for TI-89, 92 Plus Equations - AC Circuits Eq. 23.3.1 Calculated Result and a reactance part Eq.

  • Page 132: Two Impedances In Parallel

    RR RR abs Zm XX RR RR RR Zm cos Zm sin abs Z m abs Z m EE Pro for TI-89, 92 Plus Equations - AC Circuits Computed results RR XX RR X Eq. 23.4.7 Eq. 23.4.8 and 75 and reactive components 75 and - Eq.

  • Page 133: Example 23.5

    ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE Pro for TI-89, 92 Plus Equations - AC Circuits Calculated Results Eq.

  • Page 134: Polyphase Circuits

    - Given a line current of 25 A, a phase voltage of 110 V, and a phase angle of 0.125 rad, find the phase current, power, total power and line voltage. EE Pro for TI – 89, 92 Plus Equations – Polyphase circuits Polyphase Circuits Network.

  • Page 135: Balanced Wye Network

    All of the equations are needed to compute the solution. Press „ to display the input screen, enter all the known variables and press „ to solve the equation set. The computed results are shown in the screen display above. EE Pro for TI – 89, 92 Plus Equations – Polyphase circuits P Vp Ip cos...

  • Page 136: Power Measurements

    „ to solve the equation set. The computed results are shown in the screen display above. EE Pro for TI – 89, 92 Plus Equations – Polyphase circuits VL IL...

  • Page 137: Electrical Resonance

    L, a capacitor C and a resistor R at the radian frequency . The second equation computes the phase angle, , between Vm and Im. The third equation defines the resonant frequency 0 from the EE Pro for TI – 89, 92 Plus Equations – Electrical Resonance Electrical Resonance ™Resonance in Lossy Inductor...
  • Page 138 „ to solve the set of equations. The computed results are shown in the screen displays above. EE Pro for TI – 89, 92 Plus Equations – Electrical Resonance H G G Calculated Results (Upper and Lower Screens) Eq.

  • Page 139: Parallel Resonance Ii

    - A parallel resonant circuit has a 1000 this circuit is 24.8069. Find the band-width, damped and resonant frequencies. Input Values EE Pro for TI – 89, 92 Plus Equations – Electrical Resonance 0 and Q. The final two and 0 or 0 and 2 R C resistor and a 2 F capacitor.

  • Page 140: Resonance In A Lossy Inductor

    „ to solve the set of equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGU% EE Pro for TI – 89, 92 Plus Equations – Electrical Resonance L Rg R C...

  • Page 141: Series Resonance

    - Find the characteristic parameters of a series-resonant circuit with R = 25 , L = 69 H, C = 0.01 F and a radian frequency of 125,000 rad/s. EE Pro for TI – 89, 92 Plus Equations – Electrical Resonance represents the bandwidth of the resonant circuit.
  • Page 142 „ to solve the set of equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGU% %QORWVGF4GUWNVU < EE Pro for TI – 89, 92 Plus Equations – Electrical Resonance Calculated Results (Upper and Lower Screens)

  • Page 143: Opamp Circuits

    Resistor Feedback resistor Input resistance Load resistance Output resistance, OpAmp Rout Output resistance Bias current resistor EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits OpAmp Circuits ™Level Detector (Inverting) ™Level Detector (Non-Inverting) ™Differentiator ™Differential Amplifier Unit...

  • Page 144: Basic Inverter

    ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits , Rf=20._k...

  • Page 145: Non-Inverting Amplifier

    Av. The remaining equations define the input resistance Rin and output resistance Rout of the system. Rs Rf Rl Ro Rs EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits Calculated Results Eq. 26.2.2 Eq. 26.3.1...

  • Page 146: Transconductance Amplifier

    Use both equations to compute the solution for this problem. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen display above. EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits Calculated Results Calculated Results Eq.

  • Page 147: Level Detector (Inverting)

    Use all of the equations to compute the solution for this problem. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits Rp Rf...

  • Page 148: Level Detector (Non-Inverting)

    RR1 is the resistor utilized for stability. The characteristic frequency of the differentiator fd is expressed by the fifth equation. The last two equations compute the bypass capacitor Cp and the feedback capacitor Cf. EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits Rp Rf...

  • Page 149: Differential Amplifier

    Ad from the first equation to accomodate a practical OpAmp with a finite voltage gain Av. The final equation shows the common-mode gain due to resistor mismatching Acc. EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits Rf Vrate...
  • Page 150 ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE Pro for TI - 89, 92 Plus Equations - OpAmp Circuits...

  • Page 151: Solid State Devices

    Junction area Reverse CE current gain Channel width Forward Reverse Junction capacitance EE PRO for TI-89, 92 Plus Equations - Solid State Devices Solid State Devices ™MOS Transistor I ™MOS Transistor II ™MOS Inverter (Resistive) ™MOS Inverter (Saturated) ™MOS Inverter (Depletion) ™CMOS Transistor Pair...
  • Page 152 Ratio Transistor length Diffusion length, collector Drive transistor length Diffusion length, emitter Load transistor length EE PRO for TI-89, 92 Plus Equations - Solid State Devices F/m 2 m 2 /s m 2 /s m 2 /s m 2 /s...
  • Page 153 Transit time Input voltage Applied voltage Built-in voltage BE bias voltage CB bias voltage Collector supply voltage EE PRO for TI-89, 92 Plus Equations - Solid State Devices m 2 /(V*s) m 2 /(V*s) unitless unitless 1/m 3 1/m 3...

  • Page 154: Semiconductor Basics

    Nd and Na. The next two equations are often called the Einstein equations connecting the electron and hole diffusion coefficients Dn and Dp, to their mobilities n and p and the temperature n Nd p Na EE PRO for TI-89, 92 Plus Equations - Solid State Devices Eq. 27.1.1 Eq. 27.1.2...

  • Page 155: Example 27.1.1

    Find the intrinsic and actual Fermi levels for silicon at 300_ K if the conduction band is 1.12 eV above the valence band. The donor density is 8 x 10 0.85. EE PRO for TI-89, 92 Plus Equations - Solid State Devices ni TT...

  • Page 156: Pn Junctions

    The first equation calculates the built-in voltage Vbi for a step junction in terms of temperature TT, the doping densities Nd and Na, and the intrinsic density ni(TT). EE PRO for TI-89, 92 Plus Equations - Solid State Devices Computed Results...
  • Page 157 ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed results are shown in the screen displays above. EE PRO for TI-89, 92 Plus Equations - Solid State Devices...

  • Page 158: Pn Junction Currents

    Dp, diffusion lengths LLn and Lp, equilibrium densities of minority carriers npo and pno. It is used to simplify the first equation. q Aj q Va k TT q Aj EE PRO for TI-89, 92 Plus Equations - Solid State Devices , a built-in voltage of 0.8578 V, and an applied Calculated Results q Va k TT Eq.
  • Page 159 Find the generation-recombination current at room temperature for a pn junction biased at 0.85 V, a junction area of 10 m , a depletion layer width of 0.5 m, a carrier life time of 1.5 x 10 EE PRO for TI-89, 92 Plus Equations - Solid State Devices q Va...

  • Page 160: Transistor Currents

    IE ICB0 IB ICE0 The final equation links ICE0 and ICB0 in terms of . EE PRO for TI-89, 92 Plus Equations - Solid State Devices Calculated Results as the ratio of IC to IE. The second equation defines the Eq.

  • Page 161: Example 27.4

    The reciprocity relationships between f and r, IIf and Ir, and the saturation current Is are defined by the next two equations. The recognition of this reciprocity relationship has been the basis of computing switching characteristics of a transistor. f IIf EE PRO for TI-89, 92 Plus Equations - Solid State Devices Calculated Results r Ir is 0.98, the base current is 1.2 A while...

  • Page 162: Ideal Currents - Pnp

    DE nE DB pB q VEB q A DB pB k TT EE PRO for TI-89, 92 Plus Equations - Solid State Devices Display (Lower-half) q VEB q A DB k TT...

  • Page 163: Switching Transients

    VCEs, the voltage drop between the collector and the emitter under full saturation, in terms of the collector and base currents IC and IB and the forward and reverse ’s f and r. EE PRO for TI-89, 92 Plus Equations - Solid State Devices...
  • Page 164 Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed result is shown in the screen display above. EE PRO for TI-89, 92 Plus Equations - Solid State Devices...

  • Page 165: Mos Transistor I

    _C/cm^2. A -5 V bias is applied to the substrate which has a Fermi potential of 0.35 V. Assume the relative permittivity of silicon and silicon dioxide is 11.8 and 3.9, respectively, and the work function is 0.2 V. Display (Upper-half) EE PRO for TI-89, 92 Plus Equations - Solid State Devices ni TT F VSB...

  • Page 166: Mos Transistor Ii

    VT VT The last four equations calculate performance parameters transconductance gm, transit time through the channel Ttr, maximum frequency of operation ffmax, and drain conductance gd. EE PRO for TI-89, 92 Plus Equations - Solid State Devices VGS VT VGS VT VDS VDS...

  • Page 167: Mos Inverter (Resistive Load)

    VOL, and the solution is meaningful for positive values of VOL. The next equation computes VIH in the linear region of the drain current equation. EE PRO for TI-89, 92 Plus Equations - Solid State Devices Cox W L width and 1.25 gate length.
  • Page 168 500 cm /V/s, VIH=2.8 V, VT = 1_V and VDD = 5_V. Solution 1: Upper Display Solution 2: Upper Display EE PRO for TI-89, 92 Plus Equations - Solid State Devices VDD VT VOL kD Rl VDD Vo VDD VM...
  • Page 169 Solution 3: Upper Display Solution 4: Upper Display Solution 5: Upper Display Solution 6: Upper Display Solution 7: Upper Display EE PRO for TI-89, 92 Plus Equations - Solid State Devices Lower Display Lower Display Lower Display Lower Display Lower Display...

  • Page 170: Mos Inverter (Saturated Load)

    WD, LD) in terms of the process parameters, namely mobility n and gate capacitance per unit area Cox. The third equation defines the geometry ratio KR of the load and drive transistors. n Cox WL n Cox WD EE PRO for TI-89, 92 Plus Equations - Solid State Devices Lower Display Eq. 27.11.1 Eq.
  • Page 171 1_ and a width of 6 while the load has a length of 3_ substrate material is 0.35_V, a zero-bias threshold of 1.00 V. Assume a drain supply voltage of 5_V, and EE PRO for TI-89, 92 Plus Equations - Solid State Devices VDD Vo VTL and a width of 6_ .

  • Page 172: Mos Inverter (Depletion Load)

    The next equation finds the threshold voltage VTL for the load device in terms of its zero bias threshold VTL0, Fermi potential F, and body coefficient . VOH VT VTL VTL EE PRO for TI-89, 92 Plus Equations - Solid State Devices Middle Display VOL VOL Lower Display Eq.

  • Page 173: Example 27.12

    VIH and VIL. The last equation computes Vin when the n-channel driver is in saturation and the p-channel device is in the linear region. EE PRO for TI-89, 92 Plus Equations - Solid State Devices Eq. 27.12.5 Eq.

  • Page 174: Junction Fet

    Z, supply voltage VDD, pinch-off voltage Vp, gate voltage VG, and built-in voltage Vbi. In the next equation, the channel height b is related to the dielectric EE PRO for TI-89, 92 Plus Equations - Solid State Devices VDD VTP...
  • Page 175 Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed result is shown in the screen display above. EE PRO for TI-89, 92 Plus Equations - Solid State Devices...

  • Page 176: Linear Amplifiers

    External collector resistance External drain resistance External emitter resistance External gate resistance Common mode input resistance Differential input resistance EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Linear Amplifiers ™Darlington (CC-CC) ™Darlington (CC-CE) ™Emitter-Coupled Amplifier ™Differential Amplifier ™Source-Coupled JFET Pair...

  • Page 177: Bjt (Common Base)

    All of the equations are needed to compute the solution for this problem. Press „ to display the input screen, enter all the known variables and press „ to solve the equations. The computed results are shown in the screen displays above. EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Rin Rs Lower Screen Display Eq.

  • Page 178: Bjt (Common Emitter)

    „ to solve the equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGU  %QORWVGF4GUWNVU #K EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Lower Screen Display Eq. 28.2.1 Eq.

  • Page 179: Bjt (Common Collector)

    „ to solve the equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGU  %QORWVGF4GUWNVU #K EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Rl re respectively. If the source resistance is 25 Lower Screen Display Eq.

  • Page 180: Example 28.4

    Rin as a function of load resistance Rl, rd and . The voltage gain Av is defined in the third equation. The final equation computes the output resistance, Ro. gm rd EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Calculated Results Eq.

  • Page 181: Fet (Common Drain)

    Example 28.6 - Compute the voltage gain for a common-drain FET amplifier as configured in the previous example. The transconductance is 5 x 10 EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers rd Rl Calculated Results in terms of transconductance gm and drain resistance rd.

  • Page 182: Darlington (Cc-Cc)

    Use all of the equations to compute the solution for this problem. Press „ to display the input screen, enter all the known variables and press „ to solve the equations. The computed results are shown in the screen displays above. EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Calculated Results...

  • Page 183: Darlington (Cc-Ce)

    „ to solve the equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGU  %QORWVGF4GUWNVU #X EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Lower Screen Display Eq. 28.8.1 Eq.

  • Page 184: Emitter-Coupled Amplifier

    ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGU  %QORWVGF4GUWNVU #K EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers re Rl Lower Screen Display Eq.

  • Page 185: Differential Amplifier

    , in terms of the transconductance gm and the drain resistance. The final equation calculates the common mode rejection ratio CMRR. gm rd RDA EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Lower Screen Display Eq. 28.10.1 Eq.
  • Page 186 ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equations. The computed results are shown in the screen displays above. -PQYP8CTKCDNGUIO %QORWVGF4GUWNVU #E EE PRO for TI - 89, 92 Plus Equations - Linear Amplifiers Eq. 28.10.3 Eq. 28.10.4 Calculated Results 4&#...

  • Page 187: Class A, B And C Amplifiers

    # turns in primary # turns in secondary Power dissipated DC power input to amp EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers Class A, B and C Amplifiers ™Class B Amplifier ™Class C Amplifier...

  • Page 188: Class A Amplifier

    The DC power available Pdc is shown in the fourth equation. The DC power measurement is based on the supply voltage and quiscent operating current. Pdc VCC ICQ EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers unitless unitless Eq.

  • Page 189: Power Transistor

    The next two equations focus on the collector current IC and base current IB in terms of the current gain hFE, leakage current ICBO, external emitter resistance Rxt and external base resistance RB. IC hFE IB EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers Lower Display hFE ICBO Eq.

  • Page 190: Push-Pull Principle

    29.3 Push-Pull Principle These equations introduce the push-pull principle. Two transistors have their collector outputs connected to the center-tapped primary winding of a EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers hFE Rxt RB...

  • Page 191: Class B Amplifier

    The next two equations focus on the DC power Pdc in terms of VCC, K, R, and the maximum current Imax. The power calculations are possible in two ways as shown by these equations. EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers Computed results Eq.

  • Page 192: Example 29.4

    „ to solve the equation. The computed results are shown in the screen displays above. EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers ax VCC...

  • Page 193: Class C Amplifier

    ¸ key. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. The computed result is shown in the screen displays above. EE PRO for TI - 89, 92 Plus Equations - Class A, B, C Amplifiers Rl RR Eq.

  • Page 194: Transformers

    I1 and I2. In the same fashion, the third equation relates primary and secondary power. The final equation calculates the effect of a load impedance ZL experienced at the primary winding terminal with a primary impedance Zin EE PRO for TI - 89, 92 Plus Equations - Transformers Transformers ™Linear Equivalent Circuit...

  • Page 195: Linear Equivalent Circuit

    Rin and reactance Xin at the primary terminals in terms of the primary winding resistance RR1, secondary winding resistance RR2, load resistance Rl, reactances XX1 and XX2 and load reactance Xl. EE PRO for TI - 89, 92 Plus Equations - Transformers Calculated Results Eq.

  • Page 196: Example 30.2

    All of the equations are used to solve this problem. Press „ to display the input screen, enter all the known variables and press „ to solve the selected equation set. The computed results are shown in the screen displays above. EE PRO for TI - 89, 92 Plus Equations - Transformers Lower Screen Display Eq.

  • Page 197: Motors And Generators

    Magnetic pressure Magnetic field intensity Armature current Field current Load current Rotor current per phase EE Pro for TI-89, 92 Plus Equations - Motors and Generators Motors and Generators ™DC Series Motor ™Permanent Magnet Motor ™Induction Motor I ™Induction Motor II ™Single-Phase Induction Motor...
  • Page 198 Field voltage Field voltage Terminal voltage Mechanical radian frequency Electrical radian frequency Electrical rotor speed Electrical stator speed Magnetic energy Inductive reactance EE Pro for TI-89, 92 Plus Equations - Motors and Generators unitless A/Wb unitless unitless unitless unitless A/Wb...

  • Page 199: Energy Conversion

    „ to compute the solution. Since the flux is a squared term in the second equation, there are two equal and opposite results calculated for EE Pro for TI-89, 92 Plus Equations - Motors and Generators...

  • Page 200: Dc Generator

    0.65 Wb. There are eight parallel paths and 64 coils in the armature. The armature current is 12 A. The field is supplied by a 25 V source delivering a current of 0.69 A. Find the torque and the voltages generated in the armature. EE Pro for TI-89, 92 Plus Equations - Motors and Generators ap A...

  • Page 201: Separately-Excited Dc Generator

    31 rad/s. The magnetic flux is 1.6 Wb. The field is driven by a 24 V source. The field coil resistance is 10 . The armature resistance is 13 induced voltage and the terminal voltage. EE Pro for TI-89, 92 Plus Equations - Motors and Generators Display: Lower Half Ra Rl in series with an external resistance of 55 .

  • Page 202: Dc Shunt Generator

    Example 31.4 - Find the machine constant of a shunt generator running at 31 rad/s and producing 125 V with a 1.8 Wb flux. EE Pro for TI-89, 92 Plus Equations - Motors and Generators Display: Lower Half Ra Ia Eq.

  • Page 203: Dc Series Generator

    ¸. Press „ to display the input screen, enter all the known variables and press „ to solve the selected equation. The computed result is shown in the screen display above. EE Pro for TI-89, 92 Plus Equations - Motors and Generators...

  • Page 204: Separately-Excited Dc Motor

    ¸. Press „ to display the input screen, enter all the known variables and press „ to solve the selected equation set. The computed results are shown in the screen display above. EE Pro for TI-89, 92 Plus Equations - Motors and Generators...

  • Page 205: Dc Shunt Motor

    Find the back emf for a motor with a machine constant of 2.1, rotating at 62 rad/s in a flux of 2.4 Wb. Entered Values EE Pro for TI-89, 92 Plus Equations - Motors and Generators m Ra Ia Ia Tloss...

  • Page 206: Dc Series Motor

    110 V and produces a torque of 3 Nm. The armature resistance is 10 , the series resistance is 5 , and the adjustable resistance is 0.001 . Find the average voltage induced in the armature, the flux, and the load current. EE Pro for TI-89, 92 Plus Equations - Motors and Generators Ra Rs Rd IL...

  • Page 207: Permanent Magnet Motor

    Tloss. The final equation displays the quadratic relationship of m in terms of K, Vt, , T and Ra. Ea Ra Ia Tloss TL EE Pro for TI-89, 92 Plus Equations - Motors and Generators Solution 1: Lower Display Solution 2: Lower Display and armature current Ia.

  • Page 208: Example 31.9

    Pma is defined in the fifth equation in terms of the rotor current Ir and the rotor phase voltage Ema. The sixth and seventh equations account for the mechanical power Pme in terms of p, m, s, Pma, and torque T. EE Pro for TI-89, 92 Plus Equations - Motors and Generators...

  • Page 209: Induction Motor Ii

    These equations are used to perform equivalent circuit analysis of an induction motor. The first equation shows the power in the rotor per phase Pma, defined in terms of the rotor current Ir, rotor resistance Rr, and slip s. EE Pro for TI-89, 92 Plus Equations - Motors and Generators...
  • Page 210 - Use the fourth equation to compute the solution. Select by moving the cursor bar, highlighting, and pressing ¸. Press „ to display the input screen, enter all the known variables and press „ to solve the equation. EE Pro for TI-89, 92 Plus Equations - Motors and Generators respectively. Find the maximum torque.

  • Page 211: Single-Phase Induction Motor

    Pma represents the power produced in the load with a phase delay of . The last two equations show torque relationships with mechanical power Pme, m, Pma, and s. EE Pro for TI-89, 92 Plus Equations - Motors and Generators...
  • Page 212 - The first and second equations are needed to compute the solution. Select these using the cursor bar and pressing ¸. Press „ to display the input screen, enter all the known variables and press „ to solve the equations. EE Pro for TI-89, 92 Plus Equations - Motors and Generators p IIf Va Calculated Results Eq.

  • Page 213: Part Iii - Introduction To Reference

    1. Start EE•Pro: TI 89 and TI 92 Plus: Press O key to display the pull down menu. Use D key to move the high-light bar to EE•Pro and press ¸. Alternatively, type in [A] when the pull down menu appears.

  • Page 214: Reference Screens

    D key to move the high light bar to CdS and press ¸. Alternatively, type in { when the pull down menu appears. The data displayed automatically updates to list the properties of CdS as shown above. EE Pro for TI - 89, 92 Plus Reference - Introduction to Reference Section Transforms Menu...
  • Page 215 (display the inverse of the property), press N to exit Pretty Print mode, press † to display the inverse form of the transform property, and B to view the inverse transform in PrettyPrint. EE Pro for TI - 89, 92 Plus Reference - Introduction to Reference Section...
  • Page 216 Regular View of Laplace Transform Inverse View of Laplace Transform EE Pro for TI - 89, 92 Plus Reference - Introduction to Reference Section...

  • Page 217: Resistor Color Chart

    Chapter 33 This section of EE Pro allows the user to enter the color sequence of a physical resistor and compute its value and tolerance. Most physical resistors come with a band of colors to help identify its value. There are 3 variations of color bands used in practice: 3, 4 or 5 band of colors.

  • Page 218: Output Fields

    The results show 4000_ in the Value field, and ± 5% in the Tolerance field as shown to the right. EE Pro for TI - 89, 92 Plus Reference - Resistor Color Chart Pressing ¸ displays choice of 3, 4, or 5 bands.

  • Page 219: Standard Component Values

    In the Component field, press ¸ to display; use D key to move the highlight bar to "Capacitor" and press ¸ to select. The Standard Component Value is displayed as 2.61E-6_F. EE Pro for TI - 89, 92 Plus Reference - Standard Component Values Standard Component Values Enter a real number.

  • Page 220: Semiconductor Data

    Th. Cond: (Thermal conductivity) Diff Cons: (Diffusion Constant) Vapor Pr: (Vapor Pressure 1600 C) Vapor Pr: (Vapor Pressure 930 C) Work Fn: (Work Function) EE Pro for TI-89, 92 Plus Reference - Semiconductor data Semiconductor Data Description Press ¸ to display options (Si...
  • Page 221 Si Donor Levels Silicon Donor levels are displayed relative to the conduction band. The donor list includes the following: EE Pro for TI-89, 92 Plus Reference - Semiconductor data down menu listing the III-V and II-VI semi-conducting compounds. They are:...
  • Page 222 Output Field: Acceptor Levels Silicon Acceptor levels are displayed relative to the valence band. The acceptor list includes the following: EE Pro for TI-89, 92 Plus Reference - Semiconductor data Ag(VB): Pt(VB): Si(VB): Si(VB): Na(VB): Au(VB): Mo(VB): Mo(VB): Hg(VB): Hg(VB):...
  • Page 223 SiO2: Value in m Si3N4: Value in m Order: Value as a number EE Pro for TI-89, 92 Plus Reference - Semiconductor data and appear more than once. Zn(CB): Au(CB): Co(CB):...

  • Page 224: Boolean Expressions

    ¸ key or ¨. This will display the Boolean expression for XOR in Pretty Print form. Press N to revert to the previous level. Function Name EE Pro for TI-89, 92 Plus Reference - Boolean Expressions Boolean Expressions Table 36-1 Boolean Expressions Boolean expression x.y'...
  • Page 225 EE Pro for TI-89, 92 Plus Reference - Boolean Expressions (x.y')+(x'.y) Exclusive OR (XOR) (x+y)' NOT OR (NOR) (x.y)+(x'.y') Equivalence (XNOR) Complement NOT x+y' Implication Complement (NOT) x'+y Implication (x.y)' NOT AND (NAND) Identity...

  • Page 226: Transforms

    Inverse key † is pressed. A ‘é‘ symbol appears in the † tool bar to indicate the inverse form of the transform function is being displayed. EE Pro for TI - 89, 92 Plus Reference - Transforms Transforms...

  • Page 227: Example 38.1

    Move the highlight bar to Transform Pairs and press ¸. Scroll down to t: 1/s^2 and press B to view the equation in Pretty Print format. Laplace Transform Pairs EE Pro for TI - 89, 92 Plus Reference - Transforms ( ):...

  • Page 228: Constants

    Chapter 39 This Constants Reference Table section lists the values and units for 43 commonly-used universal constants. These constants are embedded in equations in the Equations section of EE Pro and are automatically inserted during computations. 39.1 Using Constants The Constants section in Reference is designed to give a quick glance for commonly used constants. It lists values of accuracy available by the standards of measurement established by appropriate international agencies.

  • Page 229: Example 39.1

    Access the View function by pressing key †. Press any key to return to the constants screen. The number of significant digits displayed in Pretty Print can be changed in the 3 setting. EE Pro for TI - 89, 92 Plus Reference - Constants...

  • Page 230: Using Si Prefixes

    P: (Peta) 1E15 T: (Tera) 1E12 G: (Giga) M: (Mega) k: (Kilo) h: (Hecto) da: (Deka) EE Pro for TI -89, 92 Plus Reference - SI Prefixes Multiplier Prefix d: (deci) c: (Centi) m: (Milli) : (Micro) n: (Nano) p: (Pico)

  • Page 231: Greek Alphabet

    Chapter 41 This section displays the Greek Alphabet and their names. There are several Greek letters supported by the TI - 89. To enter the Greek letters, the sequential keystrokes are listed in the TI-89 manual. They are repeated here for convenience of the user.

  • Page 232: Appendix A Frequently Asked Questions

    Notice if the message in the status line at the bottom-right of the screen reads BUSY. This indicates that the TI math engine is attempting to solve the problem. Pressing the ´ key usually halts a computation and allows the user to regain control of the software. If, for some reason, the calculator locks up and does not allow user intervention, a “cold start”...

  • Page 233: Analysis Questions

    EE•Pro, press ƒ:/TOOLS, ª:/NEW and type the name of the new folder (see Chapter 5 of the TI-89 Guidebook for the complete details of creating and managing folders). There are several ways to display or recall a value: The contents of variables in any folder can be displayed using the °, moving the cursor to the...

  • Page 234: Equation Questions

    Secondly, if the result is greater than 2 or less than -2 ( result the TI solve(...) function may be generating a non principal solution. A principal solution is defined as a value...
  • Page 235 The unit system in EE Pro is designed to conform to the convention established by SI, however, in order to CUT and PASTE a value and units from EE Pro to another area of the TI operating system, EE Pro must insert extra characters in the units to match TI’s syntax.

  • Page 236: Appendix B Warranty And Technical Support

    Although no warranty is given for the License Material, the media (if any) will be replaced if found to be defective during the first three (3) months of use. For specific instructions, contact the TI webstore via www.ti.com. THIS PARAGRAPH EXPRESSES da Vinci’s MAXIMUM LIABILITY AND YOUR SOLE AND EXCLUSIVE REMEDY.

  • Page 237: How To Contact Customer Support

    Customers in the U.S., Canada, Puerto Rico, and the Virgin Islands For questions that are specific to the purchase, download and installation of EE•Pro, or questions regarding the operation of your TI calculator, contact Texas Instruments Customer Support: phone: 1.800.TI.CARES (1-800-842-2737) e-mail: ti-cares@ti.com...
  • Page 238 Appendix C In developing EE Pro a number of resources were used. The primary sources we used are listed below. In addition, a large list of publications, too many to list here, were used as additional references. Campsey, B. J., and Eugene F. Brigham, Introduction to Financial Management, Dryden Press, 1985, pp. 392-400 Van Horne, James C., Financial management and Policy, 8...
  • Page 239 28. Pierret, Robert F., Field Effect Devices, Addison Wesley, Reading MA 1983 29. Neudeck, Gerold W., The Bipolar Junction Transistor, Addison Wesley, Reading MA 1983 30. Irwin, David J., Engineering Circuit Analysis, McGraw-Hill, New York, 1987 EE Pro for TI - 89, 92 Plus Appendix C: Bibliography...

  • Page 240: Appendix D Ti 89 And Ti 92 Plus- Display And Keystroke Differences

    Key legends D.2 Keyboard Differences Between TI-89 and TI-92 Plus The keystrokes in the manual for EE Pro are written for the TI-89. The equivalent keystrokes for the TI-92 Plus are listed in the following tables. EE Pro for TI - 89, 92 Plus Appendix D: TI-89 &TI 92 Plus: Display and Keystrokes Differences...
  • Page 241 Function Keys Trig Functions Sin -1 Cos -1 Tan -1 Alphabet keys EE Pro for TI - 89, 92 Plus Appendix D: TI-89 &TI 92 Plus: Display and Keystrokes Differences TI-89 Key TI-92 Plus strokes key strokes ƒ ƒ „...
  • Page 242 Backspace Parenthesis, Brackets Math Addition Operations Subtraction Multiplication Division EE Pro for TI - 89, 92 Plus Appendix D: TI-89 &TI 92 Plus: Display and Keystrokes Differences j µ Ø j ¶ Ù Ù Ú Û j · TI-89 Key...
  • Page 243 Colon Semicolon Number keys Three Four Five Seven Eight EE Pro for TI - 89, 92 Plus Appendix D: TI-89 &TI 92 Plus: Display and Keystrokes Differences 2 ¨ Á Á TI-89 Key TI-92 Plus strokes key strokes 2 µ...
  • Page 244 Custom Enter ESCAPE Application Cursor Movement Right Left Bottom EE Pro for TI - 89, 92 Plus Appendix D: TI-89 &TI 92 Plus: Display and Keystrokes Differences µ µ ¶ ¶ ¥ Q TI-89 Key TI-92 Plus strokes key strokes 2 ©...

  • Page 245: Appendix E Error Messages

    The message "Unable to save EE Pro data" will be displayed if EE•Pro is unable to save information of its last location in the program before exiting due to low memory availability. Consult your TI-89 manual under the index heading: Memory-manage.

  • Page 246: Analysis Error Messages

    ° and scrolling to the variable name, or check the memory parameters by pressing ¯. “Invalid variable reference. Conflict with system variable or reserved name.” This can occur if a variable name is entered which is reserved by the TI operating system. A list of reserved variable names is included in Appendix F.

  • Page 247: Equation Error Messages

    Select the equations to be solved, excluding the equation with no unknowns, and press „ twice to resolve the set of equations. EE Pro for TI-89, 92 Plus Appendix E - Error Messages must be greater than the largest number appearing...

  • Page 248: Reference Error Messages

    "Error while graphing." E.4 Reference Error Messages For more information, see Chapter 33, “Reference: Navigation Guide” and your TI 89 User’s Guide. Reference : Standard Component Values The message "Out of range" will occur if an entered component value is not in the range of 10...
  • Page 249 Appendix F: System Variables and The TI-89 and TI-92 Plus has a number of variable names that are reserved for the Operating System. The table below lists all the reserved names that are not allowed for use as variables or algebraic names.

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