In the circuit of Fig. 10.17, both sources operate at = 1 rad/s. If IC = 2/28 A and IL =

Chapter 10, Problem 10.8

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QUESTION:

In the circuit of Fig. 10.17, both sources operate at \(\omega = 1\ rad/s\). If \(\mathbf{I}_{C}=2 \angle 28^{\circ} \mathrm{A}\) and \(\mathbf{I}_{L}=3 \angle 53^{\circ} \mathrm{A}\), calculate (a) \(\mathbf{I}_{s}\); (b) \(\mathbf{V}_{s}\); (c) \(i_{R_{1}}(t)\).

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QUESTION:

In the circuit of Fig. 10.17, both sources operate at \(\omega = 1\ rad/s\). If \(\mathbf{I}_{C}=2 \angle 28^{\circ} \mathrm{A}\) and \(\mathbf{I}_{L}=3 \angle 53^{\circ} \mathrm{A}\), calculate (a) \(\mathbf{I}_{s}\); (b) \(\mathbf{V}_{s}\); (c) \(i_{R_{1}}(t)\).

ANSWER:

Step 1 of 6

(a)

Consider the given circuit diagram.

Write the expression for the voltage across acapcitor.

                                                                

Substitute all the given values in equation (1).

                                                                

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