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Questions  

A circular coil of radius R carries an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance r from the centre of the coil, such that r >> R, varies as

a
1r
b
1r3
c
1r2
d
1r3/2

detailed solution

Correct option is B

The magnetic field due to a circular coil of radius Rat a point on the axis of the coil located at a distance r from the centre of the coil,B=μ04π  2πiR2 R2+r23/2Given, r >> R then we have, after neglecting R,B=μ04π2πiR2r3Also  area A= πR2B=μ02π  Air3  ⇒  B ∝ 1r3

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