A current of 200 μA deflects the coil of a moving coil galvanometer through 6 0 ∘ . The current to cause deflection through 10 π radian is

Question

A current of 200 μA deflects the coil of a moving coil galvanometer through 6 0 ∘ . The current to cause deflection through 10 π ​ radian is

TestHub · Accepted Answer

In a moving coil galvanometer, the current is related to the angle of deflection by the formula:

$i \propto θ ... (1)$

From equation (1), it follow sthat
$\frac{i _{2}}{i _{1}} = \frac{θ _{2}}{θ _{1}} \Rightarrow \frac{i _{2}}{200 μA} = \frac{\frac{π}{10}}{\frac{π}{3}} = \frac{3}{10} \Rightarrow i_{2} = 60 μA$

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