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A network has 8 branches and 3 independent loops. How many nodes are there in the network?
  • a)
    6
  • b)
    5
  • c)
    11
  • d)
    10
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A network has 8 branches and 3 independent loops. How many nodes are t...
Concept:
Nodal Analysis:
Nodal analysis is a method of analyzing network 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 network 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
Calculation:
Given that, number of loops (l) = 3
Number of branches (b) = 8
In any network, number of independent loops,
l = b – n + 1
⇒ 3 = 8 – n + 1
⇒ n = 6
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A network has 8 branches and 3 independent loops. How many nodes are there in the network?a)6b)5c)11d)10Correct answer is option 'A'. Can you explain this answer?
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