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Physics-Kirchhoff's Laws

NEET Physics Kirchhoff's Laws MCQ Question

Type: MCQ-numerical-Hard-Class 12

In a circuit with n cells each having emf ε1,ε2,...,εn\varepsilon_1, \varepsilon_2, ..., \varepsilon_n and internal resistances r1,r2,...,rnr_1, r_2, ..., r_n connected in parallel, what is the equivalent internal resistance reqr_{eq} of the combination?

A

1req=1r1+1r2+...+1rn\frac{1}{r_{eq}} = \frac{1}{r_1} + \frac{1}{r_2} + ... + \frac{1}{r_n}

B

req=r1+r2+...+rnr_{eq} = r_1 + r_2 + ... + r_n

C

1req=r1+r2+...+rn\frac{1}{r_{eq}} = r_1 + r_2 + ... + r_n

D

req=1r1+1r2+...+1rnr_{eq} = \frac{1}{r_1} + \frac{1}{r_2} + ... + \frac{1}{r_n}

Correct Answer

Option A

Detailed Explanation

The equivalent internal resistance reqr_{eq} of n cells in parallel is given by 1req=1r1+1r2+...+1rn\frac{1}{r_{eq}} = \frac{1}{r_1} + \frac{1}{r_2} + ... + \frac{1}{r_n}, as per Eq. (3.58) in the NCERT context.

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