Question

The row formed at node ‘a’ in the cut set matrix in the figure shown below is?

(a) +1 +1 +1 +1 0  0  0  0

(b) +1  0  0  0 +1  0  0  +1

(c) -1   0  0   0  -1  0  0  -1

(d) -1  -1  0  0  -1 -1  0  0

I had been asked this question in final exam.

My question is based upon Cut-Set and Tree Branch Voltages topic in section Methods of Analyzing Circuits of Network Theory

Answer 1

Right answer is (b) +1  0  0  0 +1  0  0  +1

Easiest explanation: The direction of the cut set at node ‘a’ is towards node ‘a’. So the current direction of I1 is same as cut set direction. So it is +1.  Similarly for all other currents.