First slide

Magnetic field due to a moving charge

Question

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

Easy

A

$\frac{1}{r}$
B

$\frac{1}{r^{3 / 2}}$
C

$\frac{1}{r^{2}}$
D

$\frac{1}{r^{3}}$

Solution

$B = \frac{μ_{0} i R^{2}}{2 {(R^{2} + r^{2})}^{3 / 2}} i f r > > R, B \propto \frac{1}{r^{3}}$

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