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Question

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

A
23(τBi)1/2
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B
23(τBi)
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C
2(τ3Bi)1/2
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D
13τBi
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Solution

## The correct option is C 2(τ√3Bi)1/2Torque acting an equilateral triangle in magnetic field B is τ=iABsinθ ...(i)Area of triangle LMNA=√34l2and θ=90oτ=i×√34l2=√34il2B(∴sin90o=1)l=2(τ√3Bi)1/2

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