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42. N Figure P29.42 shows five resistors and two batteries con- nected in a circuit. What are the currents 1, /2, and 13? 6.00 Ω 3.0011 12.0 V 2.00 Ω L2 4.00 Ω 1.00 Ω FIGURE P29.42
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Answer #1

KVL in upper loop:

12 - 6 I1 - 3 I1 - 2 I3 = 0

9 I1 + 2 I3 = 12 . ....... (i)

KVL in lower loop:


9 + 2 I3 - (4 + 1) I2 = 0

5 I2 - 2 I3 = 9 ..... (ii)

KCL : I1 - I2 - I3 = 0 ..... (iii)

Solving, I1 = 102/73 A = 1.40 A


I2 = 123/73 A = 1.68 A

I3 = - 21/73 A = - 0.288 A

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