Electrical Engineering (EE) > Topicwise Question Bank for Electrical Engineering > Test: Network Topology

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Test: Network Topology - Question 1

A possible tree of the topology equivalent of the network shown below is

Detailed Solution for Test: Network Topology - Question 1

Given network has 4 number of nodes and 5 number of branches.

Hence, it’s tree will be as shown below.

Test: Network Topology - Question 3

The number of twigs and links in the graph obtained for the given network will be

Detailed Solution for Test: Network Topology - Question 3

For the given network, number of nodes, n = 3 and number of branches = 4 = b.

Hence, twig s = n - 1 = 3 - 1 = 2 and links = b - { n - 1) = 4 - ( 3 - 1 ) = 2

Test: Network Topology - Question 4

Consider the following statements concerned with the incidence matrix of a graph:

1. Determinant of the incident matrix of a closed loop is non-zero.

2. Algebraic sum of the row entires of an incidence matrix is zero.

3. If branch j in the graph is not incident at node a_{ij} = 0,

Which of the above statements is/are true?

Detailed Solution for Test: Network Topology - Question 5

Number of edge =

Test: Network Topology - Question 6

The number of-branches and nodes in the graph are respectively

Detailed Solution for Test: Network Topology - Question 6

n - 5 and b = 10

Test: Network Topology - Question 7

Assertion (A): When all the elements (i.e. resistors, inductors, capacitors etc.) in a network are replaced by lines with circles or dots at both ends, the configuration is then called the graph of the network.

Reason (R): The graph of any network is drawn by keeping all the points of intersection of two or more branches and representing the network elements of lines, voltages and current sources by their internal impedances.

Test: Network Topology - Question 8

The graph of a network has N number of nodes and B is the number of branches in it.

Match the List -I and List-II and select the correct answer using the codes given below the lists:

Test: Network Topology - Question 9

Two graphs are said to be isomorphic graph if their incidence matrices

Test: Network Topology - Question 10

Assertion (A): The analysis of network is done using Kirchhoffs laws when the values of each element of the network remains constant for all the values of time.

Reason (R): The analysis of a network is done using graph theory when the values of each element of the network are changed with time.

Detailed Solution for Test: Network Topology - Question 10

Assertion is true because if the values of each element is changed w.r.t. time, then every time a fresh KVL and KCL equations are to be written for analysis of the network.

Reason is also true but, the correct explanation of assertion is as explained above, Hence, Reason (R) is not the correct explanation of (A).

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