Question

Derive an expression for the current sensitivity of a moving-coil galvanometer.​

Answer 1

Answer:

The sensitivity (i.e. current sensitivity) of a galvanometer is defined as the angle of deflection per unit current flowing through it. I=knABθ I = k n A B θ where θ is the angle of deflection , N is its turns, A is area, B is magnetic induction & k is the couple per unit twist.

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Answer 2

Current sensitivity of a Galvanometer: It is defined as the deflection produced in the Galvanometer when a unit current flows through it.

Current sensitivity, S = alpha/I = NBA/k

EXPRESSION

If d(theta) is change in the deflection produced used by a small change in the current dI, sensitivity (S) of galvanometer is given by

S = d(theta)/dI

The current I flowing through the moving coil galvanometer is given by

I = k/NAB × (theta) where theta is the angle of deflection, N is it turns, is A is area, B is magnetic induction and k is the couple per unit twists.

(theta) = NAB/k × I

d(theta)/dI = NAB/k

S = NAB/k