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Question

A moving iron ammeter has constant rate of change of inductance with respect to deflection equal to 3μH/degree. The control torque is provided by spring having spring constant equal to 4×107Nm/degree. If the maximum deflection of pointer is 120°, then current corresponding to this maximum deflection will be _______A.
  1. 5.66

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Solution

The correct option is A 5.66
Given,
Rate of change of inductance w.r.t. deflection =3μH/degree

Spring constant,
K=4×107Nm/degree

The deflection torque,
Td=12I2dLdθ

Controlling torque,
Tc=Kθ=4×107×120o

At steady state,

Td=Tc

4×107×120o=12×I2×3×106

I2=2×4×107×120o3×106

I2=320×101=32

I=5.66A

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