Class 12 Physics - Chapter Magnetism and Matter NCERT Solutions | A circular coil of 16 turns and radius 1

Welcome to the NCERT Solutions for Class 12th Physics - Chapter Magnetism and Matter. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 9: a circular coil of 16 turns and radius 10 cm carry....
Question 9

A circular coil of 16 turns and radius 10 cm carrying a current of 0.75 A rests with its plane normal to an external field of magnitude 5.0 x 10-2 T. The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of 2.0 s-1. What is the moment of inertia of the coil about its axis of rotation?

Answer

Number of turns in the circular coil, N= 16

Radius of the coil, r= 10 cm = 0.1 m

Cross-section of the coil, A= πr2= π× (0.1)2m2

Current in the coil, I= 0.75 A

Magnetic field strength, B= 5.0 ×10-2T

Frequency of oscillations of the coil, v= 2.0 s-1

∴Magnetic moment, M= NIA

= 16 × 0.75 × π× (0.1)2

= 0.377 J T-1

Where,

I= Moment of inertia of the coil

Hence,the moment of inertia of the coil about its axis of rotation is 1.19 x 10-4 kg m2

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