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Question

A moving coil galvanometer has a coil of area A and number of turns N. A magnetic field B is applied on it. The torque acting on it is given by τ=ki where i is current through the coil. If moment of inertia of the coil is I about the axis of rotation.
If the value of k in terms of galvanometer parameters (N, B, A) is given by k=x×NBA. Find x.

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Solution

The torque acting on the coil of moving coil galvanometer is: τ=NiAB
Given: τ=ki
ki=NiABk=NBA

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