User`s guide

EE Pro for TI-89, 92 Plus
Equations – RLC Circuits
46
Chapter 22 RLC Circuits
The essential equations for computing impedance and admittance, natural response, and transient behavior of RLC
circuits are organized into six topics.
Series Impedance
Parallel Admittance
RLC Natural Response
Underdamped Transient
Critically-Damped Transient
Overdamped Transient
Variables
All the variables used here are listed along with a brief description and units.
Variable Description Unit
α Neper’s frequency rad/s
A1 Constant V
A2 Constant V
B Susceptance S
B1 Constant V
B2 Constant V
BC Capacitive susceptance S
BL Inductive susceptance S
C Capacitance F
D1 Constant V/s
D2 Constant V
f Frequency Hz
G Conductance S
I0 Initial inductor current A
L Inductance H
θ Phase angle rad
R Resistance
s1 Characteristic frequency rad/s
s2 Characteristic frequency rad/s
s1i Characteristic frequency (imaginary) rad/s
s1r Characteristic frequency (real) rad/s
s2i Characteristic frequency (imaginary) rad/s
s2i Characteristic frequency (real) rad/s
t Time s
v Capacitor voltage V
V0 Initial capacitor voltage V
ω Radian Frequency rad/s
ωd Damped radian frequency rad/s