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
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a
tan πn tesla
b
μ0π IR tan πn tesla
c
μ0I2πR tan πn tesla
d
μ0I2πR cos πn tesla
answer is C.
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Detailed Solution
B=μ0I4πr 2sin πn But cos πn =rRor r=R cos πn∴ B=μ0I4πR cos πn 2sin πn∴ B= μ0I2πR tan πn