Elov lo V 47A 3 Figure 345 Experimental multiloop circuit wi

Elov) lo V 47-A 3 Figure 34.5 Experimental multiloop circuit with three unknown currents.

Solution

Here ,

Using KCR at the node A

I1 + I2 - I3 = 0 ----(1)

Using KVR in the left loop

10 - I1 * R1 + R2 * I2 - 6 = 0

80 I1 - 33 I2 = 4 ----(2)

Using KVL in the right loop

6 - I2 * R2 - I3 * R3 = 0

33 I2 + 47 * I3 = 6 - ---(3)

solving 1 , 2 ,3

I1 = 0.0651 A

I2 = 0.0367 A

I3 = 0.108 A