This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Cut-Set and Tree Branch Voltages”.

1. Consider the graph shown below. The direction of the cut-set of node ‘a’ is?

a) right

b) left

c) upwards

d) downwards

2. Consider the graph shown below. The direction of the cut-set at node ‘b’ will be?

a) upwards

b) right

c) downwards

d) left

3. What is the direction of the cut-set?

a) same as the direction of the branch current

b) opposite to the direction of the link current

c) same as the direction of the link current

d) opposite to the direction of the branch current

4. In the graph shown below, the direction of the cut-set at node ‘c’ is?

a) downwards

b) upwards

c) left

d) right

5. 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

6. The number of cut set matrices formed from a graph is?

a) N^{N-1}

b) N^{N}

c) N^{N-2}

d) N^{N+1}

7. In the graph shown below, the direction of the cut-set at node ‘d’ will be?

a) left

b) downwards

c) right

d) upwards

8. 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

9. For every tree there will be _____ number of cut set matrices.

a) 1

b) 2

c) 3

d) 4

10. If a row of the cut set matrix formed by the branch currents of the graph is shown below. Then which of the following is true?

I_{1}I_{2}I_{3}I_{4}I_{5}I_{6}I_{7}I_{8}-1 -1 0 0 +1 -1 0 0

a) -V_{1}-V_{2}+V_{5}-V_{6}=0

b) -I_{1}-I_{2}+I_{5}-I_{6}=0

c) -V_{1}+V_{2}+V_{5}-V_{6}=0

d) -I_{1}+I_{2}+I_{5}-I_{6}=0