natural and step responses of rlc circuits
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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
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4There are three possible outcomes
OverdampedUnderdampedCritically dampedThe Forms Of The Natural Response Of A Parallel RLC Circuit The Overdamped Voltage Response
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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+_
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11Find vC(t) for t 0Example12t=0-The Switch is opened
0.1H28048V0.4FvC++__t=0t=0+
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t= The switch is closed
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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