The input to the circuit shown in Figure P 14.10-16 is the voltage vi of the voltage

Chapter 14, Problem P14.10-16

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QUESTION:

The input to the circuit shown in Figure P 14.10-16 is the voltage \(v_i\) of the voltage source. The output is the voltage \(v_o\) across resistor \(R_3\). The transfer function of this circuit is

                                                       \(H(s)=\frac{120 s}{s^2+24 s+208}\)

(a) Determine values of circuit parameters \(A, R, R_2, R_3, L\), and C that cause the circuit to have the specified transfer function.

(b) Determine the step response of this circuit.

(c) Determine the steady-state response of the circuit to the input \(v_{\mathrm{i}}(t)=3.2 \cos \left(10 t+30^{\circ}\right) \mathrm{V}\).

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QUESTION:

The input to the circuit shown in Figure P 14.10-16 is the voltage \(v_i\) of the voltage source. The output is the voltage \(v_o\) across resistor \(R_3\). The transfer function of this circuit is

                                                       \(H(s)=\frac{120 s}{s^2+24 s+208}\)

(a) Determine values of circuit parameters \(A, R, R_2, R_3, L\), and C that cause the circuit to have the specified transfer function.

(b) Determine the step response of this circuit.

(c) Determine the steady-state response of the circuit to the input \(v_{\mathrm{i}}(t)=3.2 \cos \left(10 t+30^{\circ}\right) \mathrm{V}\).

ANSWER:

Step 1 of 8

Given ,

 

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