ELEC 226
Prof. Rich Kozick
Finding the Step Response
Analyze the circuit at t=0
-
: Find the capacitor voltage / inductor current.
Analyze the circuit at t=0
+
: The capacitor voltage / inductor current is the same as at t=0
-
.
For the desired voltages / currents in the circuit:
Find the "initial value" at t=0
+
.
Find the "final value" as t -> infinity. (This is sometimes easier to find from the Thevenin equivalent circuit.)
Find the time constant, L
eq
/R
Th
or C
eq
* R
Th
:
Find the equivalent capacitance / inductance (if more than one capacitor / inductor).
Find the Thevenin resistance, R
Th
, at the terminals of the capacitor / inductor.
Use the
general formula
for step response.