The resistance of the coil of an ammeter is R. The shunt required to increase its range n-fold should have a resistance

\frac{R}{n}

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\frac{R}{n - 1}

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\frac{R}{n + 1}

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nR

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Solution

The correct option is B $\frac{R}{n - 1}$
Given : $R_{g} = R$ $I = n I_{g}$
Shunt resistance required $R_{s} = \frac{I_{g} R_{g}}{I - I_{g}}$
$⟹$ $R_{s} = \frac{I_{g} R}{n I_{g} - I_{g}} = \frac{R}{n - 1}$

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The resistance of the coil of an ammeter is R. The shunt required to increase its range n-fold should have a resistance

The correct option is B Rn−1Given : Rg=R I=nIgShunt resistance required Rs=IgRgI−Ig⟹ Rs=IgRnIg−Ig=Rn−1

The correct option is B $\frac{R}{n - 1}$
Given : $R_{g} = R$ $I = n I_{g}$
Shunt resistance required $R_{s} = \frac{I_{g} R_{g}}{I - I_{g}}$
$⟹$ $R_{s} = \frac{I_{g} R}{n I_{g} - I_{g}} = \frac{R}{n - 1}$