Question

The row formed at node ‘c’ in the cut set matrix in the following figure?

(a) -1  -1  0  0  +1 -1  0  0

(b) 0  0  +1  0  0  -1  -1  0

(c) +1  0  0  0 +1  0  0  +1

(d) -1   0  0   0  -1  0  0  -1

The question was posed to me in semester exam.

The doubt is from Cut-Set and Tree Branch Voltages in chapter Methods of Analyzing Circuits of Network Theory

Answer 1

The correct answer is (b) 0  0  +1  0  0  -1  -1  0

Best explanation: The direction of the cut set at node ‘c’ is away from node ‘c’. So the current direction of I3 is same as cut set direction. So it is +1.  Similarly for all other currents.