4) 125 points] This question pertains to the circuit shown below R3 V. R2 Ri Wri

Question

4) 125 points] This question pertains to the circuit shown below R3 V. R2 Ri Write down the Kirchoff loop equation for the entire outer clockwise loop of the circuit. a. b. Write down the Kirchoff loop equation for the inner left side (clockwise) loop. c. Write down the Kirchoff loop equation for the inner right side (clockwise) loop. d. Write down the relevant Kirchoff junction equation for this circuit e. Using values of V-P-3 V, and V's = 12V for the batteries, and Ri-R,-R,-100 for the resistors, calculate the values of the three unknown currents

Explanation / Answer

a] V1 + I3R3 - V3 - I1R1 = 0

B] V1 - V2 - I2R2 - I1R1 = 0

C] I2R2 + V2 + I3R3 - V3 = 0

D] I2 - I1- I3 = 0

E] Putting the values: 3 + 100 I3 - 12 - 100 I1 = 0 and 3-3 - 100 I2 - 100 I1 = 0

100 I3 = 100 I1 + 9 and I1 = -I2 and i3 = -2 I1

-200 I1 = 100I1 +9

I1 = - 0.03 A , I2 = 0.03A, I3 = 0.06 A

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