A moving coil galvanometer has 100 turns and each turn has an area of 2.0 cm². The magnetic field produced by the magnet is 0.01 T and the deflection in the coil is 0.05 radian when a current of 10 mA is passed through it. The torsional constant of the suspension wire is x × 10⁻⁵ N m/rad. The value…

Question

A moving coil galvanometer has 100 turns and each turn has an area of 2.0 cm². The magnetic field produced by the magnet is 0.01 T and the deflection in the coil is 0.05 radian when a current of 10 mA is passed through it. The torsional constant of the suspension wire is x × 10⁻⁵ N m/rad. The value of x is .

Accepted Answer

4. Equilibrium: NIAB = kθ. NIAB = 100 × 10⁻² × 2 × 10⁻⁴ × 0.01 = 2 × 10⁻⁶ N m. k = (2 × 10⁻⁶)/(0.05) = 4 × 10⁻⁵ N m/rad. → 4

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