A) directly proportional to r
B) inversely proportional to r
C) directly proportional to r2
D) inversely proportional to r2
Correct Answer: B
Solution :
Magnetic field at the centre of a coil of radius r, having N turns carrying current i is given by \[B=\frac{{{\mu }_{0}}Ni}{2r}N{{A}^{-1}}{{m}^{-1}}\] The direction of magnetic field is perpendicular to the plane of the coil, that is, along the axis of the coil. Hence, magnetic field is inversely proportional to r.
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