The Moving Coil Galvanometer

Concept:
Physics - Moving Coil Galvanometer.
Step 1: Recall the formula for current sensitivity.
Current sensitivity ( ) is defined as the deflection per unit current: $ N A B k I_{s} N A B k B$), which directly increases the sensitivity.

The rotational kinetic energy is related to the moment of inertia and angular velocity by the equation: The angular momentum is related to the moment of inertia and angular velocity by the equation: From these two equations, we can solve for in terms of and : Substitute this value of into the equation for : Now, solving for : Thus, the correct relation is , which corresponds to option (A).
Final Answer: (A)