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

Question

A coil, in the shape of an equilateral triangle of side l , is suspended between two pole pieces of a permanent magnet, such that the magnetic field B is in the plane of the coil. If due to current I in the triangle, a torque τ acts on it, the side l of the triangle is, 2 τ 3 B I 1 2, 2 3 τ B I, 2 τ B I 1 2, 1 3 τ B I

MARKS App · Accepted Answer

Torque acting on an equilateral triangle in a magnetic field B is τ = I A B s i n θ Area of Δ L M N : A = 3 4 l 2 and θ = 90 o Substituting the given values in the expression for torque, we have τ = I × 3 4 l 2 B s i n 90 ° = 3 4 I l 2 B ∴ l = 2 τ 3 B I 1 2

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