A network has 4 nodes and 3 independent loops. What is the number of branches in the network?

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SSC JE EE Previous Year Paper 17 (Held On: 4 March 2017 Evening)
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  1. 5
  2. 7
  3. 8
  4. 6

Answer (Detailed Solution Below)

Option 4 : 6
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Detailed Solution

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For any circuit or network,

M = B - n + 1

Where, M = Number of mesh (independent loop)

B = number of branches

n = number of nodes

B = M + n - 1

Calculation:

B = 3 + 4 - 1

B = 6
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