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Q.

A wire of length l is bent in the form of a circular coil of some turns. A current 'i' flow through the coil. The coil is placed in a uniform magnetic field B. The maximum torque on the coil can be

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a

iBℓ24π

b

iBℓ2π

c

iBℓ22π

d

2iBℓ2π

answer is A.

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Detailed Solution

Let these are N turnshence (2πr)N=ℓr=ℓ2πNτ=iABsin⁡θτ=iℓ2B4πN2sin⁡θ for τmax,θ=90∘ and N=1 i.e., τmax=iℓ2B4π
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