An electron travels on a circular path of radius 10 m in a magnetic field of `2 xx 10^(–3)` T. Calculate the speed of electron. What is the potential difference through which it must be accelerated to acquire this speed?

Explanation

To solve the problem, we need to calculate the speed of an electron moving in a magnetic field and the potential difference required to accelerate it to that speed.

### Step 1: Understand the relationship between magnetic force and centripetal force

When a charged particle like an electron moves in a magnetic field, it experiences a magnetic force that acts as a centripetal force, keeping it in circular motion. The magnetic force \( F \) on a charged particle moving with speed \( v \) in a magnetic field \( B \) is given by:

\[
F = qvB
...