In a moving coll galvanometer, the deflection of the col θ15 related to ele. current I by the re

step 1 In this problem for moving galvanometer I can write a expression as tau is equal to n i .A .B an

In a moving coll galvanometer, the deflection of the col θ15...

In a moving coll galvanometer, the deflection of the $\operatorname{col} \theta 15$ related to ele. current I by the relation.
(a) $I \propto \tan \theta$
(b) $I \propto{\propto} \theta$
(c) $I \propto \theta^{2}$
(d) I $\propto \sqrt{\theta}$

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Key Concepts

Electromechanical Torque Equilibrium

The principle of electromechanical torque equilibrium involves the balance between the magnetic torque produced by the current in the coil and the opposing mechanical restoring torque. The magnetic torque, which is proportional to the current, induces a rotation until it is balanced by the restoring force of the coil’s suspension, resulting in a deflection that is linearly related to the current under ideal conditions.

Small Angle Approximation

In many measuring instruments such as the moving coil galvanometer, the deflections involved are typically small. Under the small angle approximation, the sine or tangent of the angle can be considered approximately equal to the angle measured in radians, which simplifies the relationship between the current and the angular deflection to a linear proportionality.

Moving Coil Galvanometer

A moving coil galvanometer is an electromechanical instrument used to measure small electric currents. It operates by passing the current through a coil situated in a magnetic field, producing a torque that rotates the coil. This rotation is counteracted by a restoring mechanism, and the resulting equilibrium position is indicative of the current magnitude.

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