With regard to the two-mesh phasor-domain circuit depicted in Fig. 10.60, calculate the

Chapter 10, Problem 51

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QUESTION:

With regard to the two-mesh phasor-domain circuit depicted in Fig. 10.60, calculate the ratio of \(\mathbf{I}_{1}\) to \(\mathbf{I}_{2}\) if \(\mathbf{V}_{1}=3 \angle 0^{\circ} \mathrm{\ V}\), \(\mathbf{V}_2=5.5\angle-130^{\circ}\mathrm{\ V}\), and \(\mathbf{V}_{3}=1.5\angle 17^{\circ}\mathrm{\ V}\).

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QUESTION:

With regard to the two-mesh phasor-domain circuit depicted in Fig. 10.60, calculate the ratio of \(\mathbf{I}_{1}\) to \(\mathbf{I}_{2}\) if \(\mathbf{V}_{1}=3 \angle 0^{\circ} \mathrm{\ V}\), \(\mathbf{V}_2=5.5\angle-130^{\circ}\mathrm{\ V}\), and \(\mathbf{V}_{3}=1.5\angle 17^{\circ}\mathrm{\ V}\).

ANSWER:

Step 1 of 3

The following is the given circuit diagram, as shown in Figure 1.

                          Figure 1

The following are the values of source voltages.

\({V_1} = 3\angle 0^\circ \;{\rm{V}}\)

\({V_2} = 5.5\angle  - 130^\circ \;{\rm{V}}\)

\({V_3} = 1.5\angle 17^\circ \;{\rm{V}}\)

The following is the modified circuit diagram of Figure 1, as shown in Figure 2.

Picture 3

                       Figure 2

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