# 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

Graphing calculator.

## 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