Rlc Current Delay (2, 11); Dc Capacitor Current (2, 12); Capacitor Charge (2, 13); Dc Inductor Voltage (2, 14) - HP 48gII Advanced User's Reference Manual

RLC Current Delay (2, 11)

The phase delay (angle) is positive for current lagging voltage.
Equations:
X L X C –
- - - - - - - - - - - - - - - - - - - - - - -
T A N s =
R
1
- - - - - - - - - - - -
X C =
C
Example:
Given: f= 1107_Hz, C=80_µf, L=20_ mH, R=5_Ω.
Solution: =672.3008_r/s, s= -45.8292_°, p= -5.8772_°, XC=18.5929_Ω, XL=13.4460_Ω.

DC Capacitor Current (2, 12)

These equations approximate the dc current required to charge the voltage on a capacitor in a certain time
interval.
Equations:
V
⎛ ⎞
I = C ------- -
⎝ ⎠
t
Example:
Given: C=15_µf, Vi=2.3_V, Vf=3.2_ V, I=10_A, ti=0_s.
Solution: ∆V=0.9000_V, ∆t=1.3500_µs, tf=1.3500_µs.

Capacitor Charge (2, 13)

Equation:
Example:
Given: C=20_µF, V=100_V.
Solution: q=0.0020_C.

DC Inductor Voltage (2, 14)

These equations approximate the dc voltage induced in an inductor by a change in current in a certain time
interval.
5-14 Equation Reference
1
--------
XC
---------------------- -
T A N p =
X L = L = 2
V = – Vf – Vi t =
q = C V
1
------- -
–
XL
1
--- -
R
f
tf ti