A wire of length $L$ is made in the form of a coil in a moving coil galvanometer. In order to have maximum sensitivity, the shape of the coil should be,

Circular

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elliptical

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rectangular

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sqaure

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Solution

The correct option is A Circular
We know that the sensitivity of a moving coil galvanometer is given by,

$I_{s} = \frac{N B A}{C}$

Sensitivity $\propto$ Area

$\Rightarrow I_{s} \propto A$

More is the Area, more is the sensitivity.

For a given length of wire, a circle has the maximum area.

Hence, option $(A)$ is the correct answer.

Why this Question?
Note: The sensitivity of a moving coil galvanometer is given by,

$I_{s} = \frac{N B A}{C}$

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A wire of length L is made in the form of a coil in a moving coil galvanometer. In order to have maximum sensitivity, the shape of the coil should be,

A wire of length $L$ is made in the form of a coil in a moving coil galvanometer. In order to have maximum sensitivity, the shape of the coil should be,