Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The graph of a network has 8 nodes and 5 inde...
Start Learning for Free
The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is
- a)11
- b)12
- c)13
- d)14
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The graph of a network has 8 nodes and 5 independent loops. The number...
Concept:
Nodal Analysis:
Nodal analysis is a method of analyzing networks with the help of KCL equations.
For a network of N nodes, the number of simultaneous equations to be solved to get the unknowns
= Number of KCL equations
= N - 1
Mesh Analysis:
Mesh analysis is a method of analyzing networks with the help of KVL equations.
For a network having N nodes and B branches, the number of simultaneous equations to be solved to get the unknowns
= Number of KVL equations
= number of independent loop equations
= B - N + 1
Where, B = no of the branch, N = No of node
Calculation:
Given that,
Number of nodes (N) = 8
Number of independent loops (L) = 5
Let the number of branches are B.
We know that,
L = B – N + 1
⇒ 5 = B – 8 + 1 ⇒ B = 12
Community Answer
The graph of a network has 8 nodes and 5 independent loops. The number...
Graph of the network
The graph of the network consists of 8 nodes and 5 independent loops. To determine the number of branches in the graph, we need to understand the concept of branches and loops in a network.
Branches and Loops
In a network, a branch refers to a single element, such as a resistor or an inductor, that connects two nodes. It represents a single path through which current can flow.
A loop, on the other hand, refers to a closed path in a network that starts and ends at the same node. It can be formed by a combination of branches.
Calculating the number of branches
To calculate the number of branches in the given graph, we can use the formula:
Number of branches = Number of nodes - Number of independent loops + 1
In the given graph, we are given that there are 8 nodes and 5 independent loops.
Substituting these values into the formula, we get:
Number of branches = 8 - 5 + 1 = 4 + 1 = 5
Therefore, the number of branches in the graph is 5.
Answer
The correct answer is option B, which states that the number of branches of the graph is 12.
The graph of the network consists of 8 nodes and 5 independent loops. To determine the number of branches in the graph, we need to understand the concept of branches and loops in a network.
Branches and Loops
In a network, a branch refers to a single element, such as a resistor or an inductor, that connects two nodes. It represents a single path through which current can flow.
A loop, on the other hand, refers to a closed path in a network that starts and ends at the same node. It can be formed by a combination of branches.
Calculating the number of branches
To calculate the number of branches in the given graph, we can use the formula:
Number of branches = Number of nodes - Number of independent loops + 1
In the given graph, we are given that there are 8 nodes and 5 independent loops.
Substituting these values into the formula, we get:
Number of branches = 8 - 5 + 1 = 4 + 1 = 5
Therefore, the number of branches in the graph is 5.
Answer
The correct answer is option B, which states that the number of branches of the graph is 12.
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer?
Question Description
The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer?.
The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer?.
Solutions for The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph isa)11b)12c)13d)14Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup