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Questions  

A circular current carrying coil has a radius R. The distance from the center of the coil on the axis where the magnetic induction will be (1/8)th of its value at the center of the coil,

is

a
R/3
b
R3
c
2R3
d
(23)R

detailed solution

Correct option is B

Baxis=μ04π×2πIR2R2+x23/2  At centre, Bcentre =μ04π×2πIR In the given problem, μ04π×2πIR2R2+x23/2=18μ04π×2πIR  or   R2+x23/2=8R3  Solving, we get x=R3

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