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AP EAMCET · PHYSICS · Magnetic Effects of Current

A thin flexible wire of length \(L\) is connected to two adjacent fixed points and carries a current \(I\) in the clockwise direction as shown. When the system is put in uniform magnetic field of strength \(B\) going into the plane of the paper, the wire take the shape of a circle. The tension in the wire, after acquiring the circular shape is

  1. A \(I B L\)
  2. B \(\frac{I B L}{\pi}\)
  3. C \(\frac{I B L}{2 \pi}\)
  4. D \(\frac{I B L}{4 \pi}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{I B L}{2 \pi}\)

Step-by-step Solution

Detailed explanation

Given that, the length of wire \(=L\) Current passing through ring \(=I\) Let \(R\) be the radius of ring. Then, \(2 \pi R=L\) \[ R=\frac{L}{2 \pi}...(i) \] Consider an element of ring \(A B\) which subtends an angle \(\Delta \theta\) at the centre \(O\), such that,…