Determine the steady-state current i(t) in the circuit shown in Figure P 10.8-3 when the

Chapter 10, Problem P10.8-3

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QUESTION:

Determine the steady-state current i(t) in the circuit shown in Figure P 10.8-3 when the voltage source voltage is

\(v_{\mathrm{s}}(t)=8+8 \cos \left(400 t-135^{\circ}\right) \mathrm{V}\)

Questions & Answers

QUESTION:

Determine the steady-state current i(t) in the circuit shown in Figure P 10.8-3 when the voltage source voltage is

\(v_{\mathrm{s}}(t)=8+8 \cos \left(400 t-135^{\circ}\right) \mathrm{V}\)

ANSWER:

Step 1 of 3

Convert the circuit to the  frequency domain:

{For ,}

           

           

Let the current  be

           .........(1)

Where    is due to the dc component of the voltage source    is due to the ac component.

For the dc component, the indicator acts as a short circuit. Hence, the current  can be obtained as

           

            .........(2)

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