Question

an electron is moving in an orbit of radius R with Frequency f. The magnetic moment produced is given by​

Answer 1

Given:

An electron is moving in an orbit of radius R with Frequency f.

To find:

Magnetic moment produced?

Calculation:

Magnetic moment can be calculated as the product of current and area around which the charge flows.

• Let magnetic moment be M :

$\rm \: M = i \times area$

$\rm \implies M = \dfrac{e}{t} \times area$

• 1/t can be written as f (i.e. frequency)

$\rm \implies M = e \times f \times area$

$\rm \implies M = e \times f \times \pi {r}^{2}$

$\rm \implies M = e f \pi {r}^{2}$

So, final answer is :

$\boxed{ \bf M = e f \pi {r}^{2} }$