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AP EAMCET · PHYSICS · Magnetic Effects of Current

A circular coil of radius \(10 \mathrm{~cm}\) with 100 turns carrying a current of \(0.5 \mathrm{~A}\) lies in a magnetic field of \(2 \mathrm{~T}\) such that the normal drawn to the plane of the coil makes an angles \(\theta\) with the direction of the field. Work done in rotating the coil to change the angle \(\theta\) from \(0^{\circ}\) to \(180^{\circ}\) is

  1. A \(\pi \mathrm{J}\)
  2. B \(2 \pi \mathrm{J}\)
  3. C \(4 \pi \mathrm{J}\)
  4. D \(8 \pi \mathrm{J}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 \pi \mathrm{J}\)

Step-by-step Solution

Detailed explanation

Given, radius of coil, \(R=10 \times 10^{-2} \mathrm{~m}\), number of turns in coil, \(N=100\) turns, current through coil, \(I=0.5 \mathrm{~A}\), magnetic field, \(B=2 \mathrm{~T}\) and change in angle of rotating coil, \(\theta=0^{\circ}\) to \(180^{\circ}\). Work done in…
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