(a) To determine Find the power delivered by the 5 A current source to the given circuit using mesh-current method. Explanation Given data: Refer to Figure given in the textbook. The voltage source is 5 V and 67 V . The current source is 5 A . Calculation: The given circuit is modified as shown in Figure 1. In Figure 1, apply Kirchhoff’s Voltage law for Loop current i 1 as follows, 0 = 5 + 38 ( i 1 − 5 ) + 30 ( i 1 − i 2 ) + 12 i 1 0 = 5 + 38 i 1 − 190 + 30 i 1 − 30 i 2 + 12 i 1 0 = − 185 + 80 i 1 − 30 i 2 80 i 1 − 30 i 2 = 185 (1) Rearrange the equation (1) as follows, 80 i 1 = 185 + 30 i 2 i 1 = 185 + 30 i 2 80 In Figure 1, apply Kirchhoff’s Voltage law for Loop current i 2 as follows, 0 = 67 + 40 i 2 + 30 ( i 2 − i 1 ) + 6 ( i 2 − 5 ) 0 = 67 + 40 i 2 + 30 i 2 − 30 i 1 + 6 i 2 − 30 0 = 37 + 76 i 2 − 30 i 1 30 i 1 − 76 i 2 = 37 (2) Substitute 185 + 30 i 2 80 for i 1 in equation (2) as follows, 30 ( 185 + 30 i 2 80 ) − 76 i 2 = 37 69.4 + 11.3 i 2 − 76 i 2 = 37 − 64.7 i 2 = − 32 (b) To determine Calculate the total power delivered to the circuit. (c) To determine Show that the total power developed in the circuit is equal to the total power dissipated.

10th Edition

ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 4, Problem 47P

(a)

To determine

Find the power delivered by the 5 A current source to the given circuit using mesh-current method.

(b)

To determine

Calculate the total power delivered to the circuit.

(c)

To determine

Show that the total power developed in the circuit is equal to the total power dissipated.

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Chapter 4, Problem 46P

Chapter 4, Problem 48P

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