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# Problem 2 An RC circuit ( with an active component) has the following transfer function (where...  Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + \$RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s = jw, a) Determine the output y(t) when the input x(t) is given by Vin(t) = 10 + 5 cos(t) + 100cos(10t + 45°) The magnitude and the phase plots of the transfer function are given below.
Bode Diagram Magnitude (dB) 1 1 1 Phase (deg) 101 Frequency (rad/sec)

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