Problem 4-32


Write a complete set of mesh equations for the circuit.


NOTE to Grader: The students only had to write the equations. They did not have to simplify or solve them.


KVL around mesh 1.

6 I1 + 12 I1 - 12 I3 + 10 I1 - 10 I2 = 0

28 I1 - 10 I2 - 12 I3 = 0 (Eq. 1)

KVL around mesh 2.

10 I2 - 10 I1 + 3 I2 - 3 I3 - 12 + 4 I2 - 110 = 0

- 10 I1 + 17 I2 - 3 I3 = 122 (Eq. 2)

KVL around mesh 3.

12 I3 - 12 I1 + 70 + 2 I3 + 12 + 3 I3 - 3 I2 = 0

- 12 I1 - 3 I2 + 17 I3 = - 82 (Eq. 3)


Solving the three equations yields:

I1 = 2 A

I2 = 8 A

I3 = - 2 A


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