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)
where,
If is the final value of i(t) ? If i(?)
Vf is the final value of v(t) ? Vf v(?)
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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
10
Second order circuit
Forced Response of Series RLC Circuit (Step
response Series RLC Circuit)
where,
Vf is the final value of v(t) ? Vf v(?)
If is the final value of i(t) ? If i(?)