An electron moving in a circular orbit of radius $r$ makes $n$ rotation per second. The magnetic field produced at the centre has a magnitude of
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(a) Corresponding current $i = en$
So $B = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2\pi \left( {en} \right)}}{r} = \frac{{{\mu _0}ne}}{{2r}}$
So $B = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2\pi \left( {en} \right)}}{r} = \frac{{{\mu _0}ne}}{{2r}}$
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