Find the potential difference across each resistor in the figure below. (R1 = 4.

Question

Find the potential difference across each resistor in the figure below. (R1 = 4.85 ?, R2 = 4.10 ?, R3 = 2.70 ?, R4 = 2.30 ?) Please show the full equations with all the numbers plugged. I need step by step instruction please show all work every step even if it may seem redundant but answers alone wont help much I need as much explanation as possible. The figure is the one in the link below from a previous user who asked the same question but has different numbers. Again please show all steps and equations.

http://www.chegg.com/homework-help/questions-and-answers/potential-difference-resistor-figure-p1829-r1-476-r2-395-r3-275-r4-175-vr1-vr2-vr3-vr4-got-q1184260

Explanation / Answer

in the left loop assume a current i1 in clock wise direction and in the right loop assume a current i2 in the anti-clockwise direction. applying KVL in both loops, 12 - 3 - 4.1i1 - 4.1i2 - 4.85i1 = 0 -> 9 - 8.95i1 - 4.1i2 = 0 -> 1 left loop 18 -3 - 4.1i1 - 4.1i2 - 2.7i2 - 2.3i2 = 0 -> 15 - 4.1i1 - 9.1i2 = 0 ->2 right loop solving 1 and 2 we get i1 = 0.315A i2 = 1.506A so V1 = i1*R1 = 1.53V V2 = (i1+i2)*R2 = 7.47V V3 = i2*R3 = 4.07V V4 = i2 * R4 = 3.46V

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