SECOND ORDER CIRCUIT

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SECOND ORDER CIRCUIT
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Second order circuit
Forced Response of Parallel RLC Circuit (Step
response Parallel RLC Circuit)
By KCL,
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Second order circuit
Forced Response of Parallel RLC Circuit (Step
response Parallel RLC Circuit)
What is v(t) ?
v ?
t 0
By KCL,
R
C
Is
L
Differentiate once,
This is similar to what we have seen in
source-free circuit
? solutions have similar forms
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Second order circuit
Forced Response of Parallel RLC Circuit (Step
response Parallel RLC Circuit)
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Second order circuit
Forced Response of Parallel RLC Circuit (Step
response Parallel RLC Circuit)
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Second order circuit
Forced Response of Parallel RLC Circuit (Step
response Parallel RLC Circuit)
In general,
x(t) xtran xss
Steady state response - response as t ???
Transient response - similar to natural response
Capacitor ? open circuit
Inductor ? short circuit
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Second order circuit
Forced Response of Series RLC Circuit (Step
response Series RLC Circuit)
By KVL,
We solve vc(t) by finding i(t)
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Second order circuit
Forced Response of Series RLC Circuit (Step
response Series RLC Circuit)
gives