Explanation Given data: Refer to Figure 13.90 in the textbook for the coupled inductor circuit. Calculation: Consider the following values to design the given circuit and find the currents I 1 and I 2 in the circuit and calculate the power absorbed by the 4 Ω resistor. The supply voltage is V s = 36 ∠ 30 ° V . The resistors R 1 , R 2 , and R 3 are 5 Ω , 2 Ω , and 4 Ω respectively. The inductors X M , X L 1 , X L 2 , and X C are 1 Ω , 6 Ω , 3 Ω , and 4 Ω respectively. Modify the Figure 13.90 by indicating all the parameters. The modified circuit as shown in Figure 1. In 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. ( 7 + j 6 ) I 1 − ( 2 + j ) I 2 = 36 ∠ 30 ° ( 7 + j 6 ) I 1 + ( − 2 − j ) I 2 = 36 ∠ 30 ° ( 7 + j 6 ) I 1 + ( − 2 − j ) I 2 = 31.18 + j 18 (1) Apply Kirchhoff's voltage law to the loop 2 in Figure 1. ( 6 + j 3 − j 4 ) I 2 − 2 I 1 − j I 1 = 0 ( − 2 − j ) I 1 + ( 6 − j ) I 2 = 0 (2) Write equations (1) and (2) in matrix form as follows

6th Edition

ISBN: 8220102801448

Author: Alexander

Publisher: YUZU

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Chapter 13, Problem 21P

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Design a problem to provide better understanding about energy in a coupled inductor.

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Chapter 13, Problem 20P

Chapter 13, Problem 22P

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Design a problem to provide better understanding about energy in a coupled inductor.

Solution Summary: The author explains how to design a circuit to provide better understanding about energy in the coupled inductor.

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Design a problem to provide better understanding about energy in a coupled inductor.

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