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Interactive LearningWare 20.1 provides background for this problem. t in the 2.0-Ω resistor in the drawing

Interactive LearningWare 20.1 provides background for this problem. t in the 2.0-Ω resistor in the drawing

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Answer #1

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Use 2 loops to solve this equation.. Top loop and bottom loop

Concider current in top i1 and current in the bottom i2.. Direction clockwise.

Top loop equation: i1 - 1 + 2i1 - 2i2 = 0

bottom equation: 4 + 3 i2 + 2i2 - 2i1 + 1 =0

simplify and solve bothe quations..

top: 3i1 - 2i2 = 1

bot: 5i2 - 2i1 = -5

i1 = -0.45A

i2 = - 1.18 A..

since they are negative that means they are

i1 = 0.45 A counter clockwise and

i2 = 1.18 counter clockwise..

To find the current in the R2.. you have to subtract both currents and the larger one takes the sign

0.45 - 1.18 = current in the R2

Current in R2 = 0.73 Amps coutner clockwise.

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Answer #2

current in 1 ohm is 1ampere and 3 ohm is 1 ampere and 2 ohm is 0ampere

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