A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E₀ and a resistance r₁. An unknown e.m.f. E is balanced at a length l of the potentiometer wire. The e.m.f. E will be given by

Options

(a) E₀l/L
(b) LE₀r/(r+r₁)l
(c) LE₀r/lr₁
(d) E₀r/(r+r₁) l/L

Correct Answer:

E₀r/(r+r₁) l/L

Explanation:

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