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Assertion (A) : Number of mesh current equations in a network depend upon the number of branches B and nodes N in a network.

Reason (R) : Number of mesh current equations are B + N – 1.

  • A.Both (A) and (R) are true and (R) is the correct explanation of (A).
  • B.Both (A) and (R) are true but (R) is not the correct explanation of (A).
  • C.(A) is true and (R) is false.
  • D.(A) is false and (R) is true.

Answer: C

The assertion is true, and the reason is false. The number of independent mesh current equations of a network depends on the number of branches B and nodes N, and it is given by B minus N plus 1, which is the number of independent loops. The reason gives the number as B plus N minus 1, which is wrong. The expression N minus 1 is the number of independent node equations, so the reason confuses the two counts. The answer is that (A) is true and (R) is false.

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