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Galvanometer

A Galvanomete...

Question

A Galvanometer has resistance G ohms and a range of I A. The value of parallel shunt resistance connected to the ammeter to increase its range to nI A is

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Solution

Given : $I^{'} = n I$ $I_{g} = I$
$V_{A B} = V_{C D}$ $⟹$ $I_{g} G = (I^{'} - I_{g}) S$
$∴$ $I G = (n I - I) S$ $⟹ S = \frac{G}{n - 1}$

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