To determine Calculate the power delivered by the 4 A current source in the given circuit. Explanation The given circuit is redrawn as shown in Figure 1. Apply Kirchhoff’s voltage law for Loop 1 in Figure 1. 4 ( i 1 − i 3 ) + 6 ( i 1 − i 2 ) + 2 i 1 = 128 4 i 1 − 4 i 3 + 6 i 1 − 6 i 2 + 2 i 1 = 128 12 i 1 − 6 i 2 − 4 i 3 = 128 (1) Apply Kirchhoff’s voltage law for Loop 2 in Figure 1. 3 ( i 2 − i 3 ) + 6 ( i 2 − i 1 ) + 5 i 2 = − 30 i x 3 i 2 − 3 i 3 + 6 i 2 − 6 i 1 + 5 i 2 = − 30 i x − 6 i 1 + 14 i 2 − 3 i 3 = − 30 i x (2) In Figure 1, the supermesh equation is, i 3 = 4 A (3) The constraint equation due to the dependent source is, i x = i 1 − i 3 (4) Substitute equation (3) in equation (4). i x = i 1 − 4 (5) Substitute equation (3) and (5) in equation (2). − 6 i 1 + 14 i 2 − 3 ( 4 ) = − 30 ( i 1 − 4 ) − 6 i 1 + 14 i 2 − 12 = − 30 i 1 + 120 − 6 i 1 + 14 i 2 + 30 i 1 = 120 + 12 24 i 1 + 14 i 2 = 132 (6) Substitute equation (3) in equation (1). 12 i 1 − 6 i 2 − 4 ( 4 ) = 128 12 i 1 − 6 i 2 − 16 = 128 12 i 1 − 6 i 2 = 128 + 16 12 i 1 − 6 i 2 = 144 Rearrange the equation as follows, 12 i 1 = 144 + 6 i 2 i 1 = 144 + 6 i 2 12 i 1 = 12 + 0.5 i 2 (7) Substitute equation (7) in equation (6). 24 ( 12 + 0

11th Edition

ISBN: 9780134746968

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 4.8, Problem 14AP

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Calculate the power delivered by the 4 A current source in the given circuit.

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Electric Circuits. (11th Edition)

Ch. 4.2 - a) For the circuit shown, use the node-voltage...Ch. 4.2 - Use the node-voltage method to find v in the...Ch. 4.3 - Use the node-voltage method to find the power...Ch. 4.4 - Use the node-voltage method to find vo in the...Ch. 4.4 - Use the node-voltage method to find v in the...Ch. 4.4 - Use the node-voltage method to find v1 in the...Ch. 4.5 - Use the mesh-current method to find (a) the power...Ch. 4.6 - Determine the number of mesh-current equations...Ch. 4.6 - Use the mesh-current method to find vo in the...Ch. 4.7 - Use the mesh-current method to find the power...

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