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A current f flows in a thin wire shaped as regular polygon of n sides which can be inscribed in a circle of radius R. The magnetic field induction at the centre of polygon due to one side of the polygon is

a
tan  πn  tesla
b
μ0π  IR tan  πn  tesla
c
μ0I2πR   tan  πn  tesla
d
μ0I2πR   cos  πn  tesla

detailed solution

Correct option is C

B=μ0I4πr   2sin  πn  But  cos πn =rRor    r=R cos πn∴      B=μ0I4πR  cos πn   2sin  πn∴      B=   μ0I2πR  tan πn

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