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JEE Advanced2010PhysicsMagnetic Effects of CurrentActual

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 in the figure. When the system is put in a uniform magnetic field of strength B going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is

Options

  1. AI B L
  2. BI B L
  3. CI B L 2
  4. DI B L 4

Correct answer

C. I B L 2

Step-by-step solution

L=2 RR= L 2 2 T (d )=F_m for small angles, (d ) d aligned 2 T(d ) & =I(d L) B 90^ & =I(2 R d ) B T & =I R B= I L B 2 aligned correct option is (c)

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