Question

A charged particle (charge q) is moving in a circle of radius R with uniform speed. v The associated magnetic moment m is given by_______.

Answer 1

Step 1: Magnetic moment:

1. It is a vector quantity.
2. It is used to measure the torque exerted on a magnetic field.
3. It is finding the product of the distance between its pole and the strength of either pole.

A diagram to represent magnetic moment:

Step 2: Explanation:

The current in a circular path due to movement is

$i=\frac{q}{T}=\frac{q}{2\mathrm{\pi R}}$

Therefore, the magnetic moment associated with the particle is

$$\begin{gathered} \mu =iA=\frac{qv}{2\mathrm{\pi R}}{\mathrm{\pi R}}^2 \\ \mu =\frac{qvR}{2} \end{gathered}$$