An electron of charge e is moving in a circular orbit of radius r around a nucleus, at a frequency upsilon . The magnetic moment associated with the orbital motion of the electron is

Question

An electron of charge e is moving in a circular orbit of radius r around a nucleus, at a frequency upsilon . The magnetic moment associated with the orbital motion of the electron is (A) 2π upsilon er2 (B) (π upsilon r2/2) (C) π e upsilon r2 (D) (π upsilon r2/4)

Tardigrade Admin · Accepted Answer

The equivalent current due to the motion of the electron is i=e upsilon So, the magnetic moment will be M=i× π r2=π e upsilon r2

Q. An electron of charge $e$ is moving in a circular orbit of radius $r$ around a nucleus, at a frequency $υ$ . The magnetic moment associated with the orbital motion of the electron is

$2 π υ e r^{2}$

$\frac{π υ r ^{2}}{2}$

$π e υ r^{2}$

$\frac{π υ r ^{2}}{4}$

The equivalent current due to the motion of the electron is
$i = e υ$
So, the magnetic moment will be
$M = i \times π r^{2} = π e υ r^{2}$

Q. An electron of charge e is moving in a circular orbit of radius r around a nucleus, at a frequency υ . The magnetic moment associated with the orbital motion of the electron is

2πυer2

2πυr2​

πeυr2

4πυr2​