Problem 4.7-3 -->

Problem 4.7-3

 

If we apply the KVL in the big loop (left and middle loop), we get:

Vs = 10V = - 20*i2 – 30*i1 which is 1 = - 2*i2 – 3*i1

 

And with the current source, we get

Is = 0.5 A = i2 – i1

 

We have then two equations with 2 unknowns, which give:

I1 = - 3/5 A and i2 = - 1/10 A

 

The voltage is thus v2 = 20*i2 = - 2V