User`s guide
EE Pro for TI-89, 92 Plus
Equations – RLC Circuits
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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 Ω
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