Given the circuit below: Iin (w) († jwL ooo Tout (w) R₁ www R₂ 1 - jwC (a) Solve for the frequency response H(w) of the circuit for the given input-output pair. (b) If L << 1, what type of filter does H(w) represent? (c) Solve for the steady-state response of the output iout(t) if the input is given as lin(t) = aeit + Be²jt, where a and 3 are constant parameters.

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Given the circuit below:
Iin (w)
jwL
ooo
Tout (w)
R₁
www
R₂
H6
1
jwC
(a) Solve for the frequency response H(w) of the circuit for the given input-output
pair.
(b) If L << 1, what type of filter does H(w) represent?
(c) Solve for the steady-state response of the output out (t) if the input is given as
iin (t) = aeit + Be²it, where a and 3 are constant parameters.
Transcribed Image Text:Given the circuit below: Iin (w) jwL ooo Tout (w) R₁ www R₂ H6 1 jwC (a) Solve for the frequency response H(w) of the circuit for the given input-output pair. (b) If L << 1, what type of filter does H(w) represent? (c) Solve for the steady-state response of the output out (t) if the input is given as iin (t) = aeit + Be²it, where a and 3 are constant parameters.
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