# Power System Analysis MCQ Part 10

Power system analysis MCQ Part 10 is focused on the Element Node Incidence matrix graph theory. Initially, some fundamental concepts of the theory are discussed afterwards multiple-choice questions are posted.

Electrical Engineering MCQ

- 1 Theory of Incidence matrix graph
- 2 Which alphabet will be replaced by E
- 3 Which alphabet will be replaced by N
- 4 What is the dimension of Element Node Incidence matrix
- 5 J will be replaced by which number
- 6 K will be replaced by which number
- 7 X will be replaced by which number
- 8 Y will be replaced by which number
- 9 Z will be replaced by which number

## Theory of Incidence matrix graph

- e is the number of elements. Here we have 6 elements (1,2,3,4,5,6)
- n is the number of nodes. Here we have 4 nodes (0,1,2,3)
- The dimension of the element-node incidence matrix is
*e*n* - If q is supposed a node, and p is an element then the incidence is indicated by the following:
- α_pq =1; if p is directed away from q
- α_pq =-1; if p is directed towards q
- α_pq =-1; if p is not incident to q

Observe the graph below and then answer questions below.

## Which alphabet will be replaced by E

If E represents the number of elements in element incidence node matrix then which alphabet in the table will be replaced by E:

- A
- B

Correct answer: 1. A

## Which alphabet will be replaced by N

If N represents the number of nodes in element incidence node matrix then which alphabet in the table will be replaced by N:

- A
- B

Correct answer: 2. B

## What is the dimension of Element Node Incidence matrix

If E is number of elements and N is number of nodes then dimension of Element node incidence matrix is:

- E*N
- E/N
- E+N
- E-N

Correct answer: 1. E*N

## J will be replaced by which number

J will be replaced by which number:

- 0
- 1
- -1

Correct answer: 2. 1

Since 4 is directed away from 3, J will be replaced by 1

## K will be replaced by which number

K will be replaced by which number:

- 0
- 1
- -1

Correct answer: 2. 1

## X will be replaced by which number

K will be replaced by which number:

- 0
- 1
- -1

Correct answer: 3. -1

## Y will be replaced by which number

Y will be replaced by which number:

- 0
- 1
- -1

Correct answer: 2. 1

## Z will be replaced by which number

Z will be replaced by which number:

- 0
- 1
- -1

Correct answer: 3. -1