Explanation Given data: Refer to Figure 13.78 in the textbook for the circuit with coupled-coils. Calculation: Modify the Figure 13.78 by converting the current source ( 2 ∠ 0 ° A ) with parallel impedance ( − j 1 Ω ) into the voltage source ( 2 ∠ 0 ° A × − j 1 Ω = − j 2 V ) with series impedance ( − j 1 Ω ) and indicating the mesh currents I 1 and I 2 . The modified circuit as shown in Figure 1. From Figure 1, consider that the loops 1 and 2 contain the currents I 1 and I 2 respectively. Apply Kirchhoff's voltage law to the loop 1 in Figure 1. 2 I 1 + j 4 I 1 − j I 2 = 8 ∠ 30 ° ( 2 + j 4 ) I 1 − j I 2 = 8 ∠ 30 ° (1) Apply Kirchhoff's voltage law to the loop 2 in Figure 1. j 4 I 2 + 2 I 2 − j I 2 − j I 1 − j 2 = 0 ( j 4 + 2 − j ) I 2 − j I 1 − j 2 = 0 ( j 3 + 2 ) I 2 − j I 1 − j 2 = 0 j I 1 = ( j 3 + 2 ) I 2 − j 2 Simplify the equation as follows. I 1 = ( j 3 + 2 ) j I 2 − j 2 j I 1 = ( 3 − j 2 ) I 2 − 2 (2) Substitute equation (2) in (1)

6th Edition

ISBN: 8220102801448

Author: Alexander

Publisher: YUZU

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Chapter 13, Problem 9P

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Calculate the voltage Vx of the coupled-coils circuit in Figure 13.78.

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Chapter 13, Problem 8P

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Chapter 13 Solutions

EBK FUNDAMENTALS OF ELECTRIC CIRCUITS

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Calculate the voltage V x of the coupled-coils circuit in Figure 13.78.

Solution Summary: The author calculates the voltage V_x of the coupled-coils circuit in Figure 13.78.

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Calculate the voltage Vx of the coupled-coils circuit in Figure 13.78.

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Chapter 13 Solutions