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Manipal MET2015PhysicsMagnetic Effects of Current

A coil in the shape of an equilateral triangle of side 1 is suspended between the pole pieces of a permanent magnet such that B is in the plane of the coil. If due to current i in the triangle, a torque acts on it. The side l of the triangle is

Options

  1. A2 3 ( B i )
  2. B2 ( 3 B i )^ 1 / 2
  3. C2 3 ( B i )^ 1 / 2
  4. D1 3 B i

Correct answer

B. 2 ( 3 B i )^ 1 / 2

Step-by-step solution

The current flowing clockw:se in an equilateral triangle has a magnetic field in the direction of k . aligned & = BiNA & = BiNA 90^ aligned =B i 3 4 I^2 1 [ . Area of equilateral triangle = 3 4 l^2 and N=1 , (assuming] l^2= 4 3 B i l=2 [ B i 3 ]^ 1 / 2

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