(a) To determine Calculate the branch currents i a , i b , and i c in the given circuit using the mesh-current method in PSPICE. Explanation The given circuit is redrawn as shown in Figure 1. Apply Kirchhoff’s voltage law for Loop 1 in Figure 1. 80 = 75 i 1 + 200 ( i 1 − i 2 ) + 125 i 1 80 = 75 i 1 + 200 i 1 − 200 i 2 + 125 i 1 80 = 400 i 1 − 200 i 2 (1) Apply Kirchhoff’s voltage law for Loop 2 in Figure 1. − 140 = 150 i 2 + 200 ( i 2 − i 1 ) + 250 i 2 − 140 = 150 i 2 + 200 i 2 − 200 i 1 + 250 i 2 − 140 = − 200 i 1 + 600 i 2 (2) Rearrange the equation (2) as follows, 200 i 1 = 140 + 600 i 2 i 1 = 140 + 600 i 2 200 i 1 = 0.7 + 3 i 2 (3) Substitute equation (3) in equation (1). 80 = 400 ( 0.7 + 3 i 2 ) − 200 i 2 80 = 280 + 1200 i 2 − 200 i 2 1000 i 2 = 80 − 280 1000 i 2 = − 200 Reduce the equation as follows, i 2 = − 200 1000 i 2 = − 0.2 A (4) Substitute equation (4) in equation (3). i 1 = 0.7 + 3 ( − 0.2 ) = 0.7 − 0.6 = 0.1 A In Figure 1, the current i a through the 75 Ω resistor is equal to the Loop 1 current. That is, i a = i 1 = 0.1 A In Figure 1, the current i b through the 200 Ω resistor is calculated as follows. i b = i 1 − i 2 Substitute 0.1 A for i 1 and − 0 (b) To determine Calculate the branch currents i a , i b , and i c in the given circuit when the polarity of the 140 V source is reversed and solve by using the mesh-current method in PSPICE.

11th Edition

ISBN: 9780134746968

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 4, Problem 36P

(a)

To determine

Calculate the branch currents ia, ib, and ic in the given circuit using the mesh-current method in PSPICE.

(b)

To determine

Calculate the branch currents ia, ib, and ic in the given circuit when the polarity of the 140 V source is reversed and solve by using the mesh-current method in PSPICE.

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Chapter 4, Problem 35P

Chapter 4, Problem 37P

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