An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to

Options

A. `B//V`
B. `V/B`
C. `sqrt(V/B)`
D. `sqrt(B/V)`

Answer

C

Explanation

`T=(2pir)/v` and `I=e/T=(ev)/(2pir), B=(mu_(0)I)/(2r)=(mu_(0)ev)/(4pir^(2))impliesr prop sqrt(v/B)`