NATURAL AND STEP RESPONSES OF RLC CIRCUITS
NATURAL AND STEP RESPONSES OF RLC CIRCUITS1
CLRI0iCiLiRv+_
L
R
C
t=0Iv+_2
The General Solution Of The Second-Order Differential
Equation
3
4There are three possible outcomes
OverdampedUnderdampedCritically dampedThe Forms Of The Natural
Response Of A Parallel RLC Circuit The Overdamped Voltage
Response
5
The Underdamped Voltage response of a parallel RLC circuit
is
The Critically Damped Voltage ResponseThe Underdamped Voltage
Response
6The Step Response Of A Parallel RLC Circuit
RiRiLiCt=025nF25mHIv+_I=24mA, R=400Find iL(t) when t0I=24mA,
R=625Find iL(t) when t0I=24mA, R=500Find iL(t) when t07
RiRiLiCt=0CLIv+_
Drill Exercises8
15V+_2.5F3k62.5HiLt=06k9mAFind iL(t) for t 09The Natural And
Step Reponses Of A Series RLC Circuit
I0RLCiV0+_
10
11Find vC(t) for t 0Example12t=0-The Switch is opened
0.1H28048V0.4FvC++__t=0t=0+
13
t= The switch is closed
14
Initial ConditionvC(0) =0
Drill Exercises
12.8k19.2k2FvC10mH100100Vi+_t=0+_50Vab+_Find v0(t) for t0Find
vC(t) and i(t) for t015
781.25nF6k3k4k+_40V20V+_0.5Hv0(t)+_abt=0
