Question

An electron is projected at right angle to a uniform magnetic field (B) with velocity v. Derive the expression for the radius of the circular path described by the electron. Take 'm' as mass of electron amd 'e' ots electric charge.

Answer 1

Answer:

an electron is projectet at right angle to a uniform magnetic field b with velocity v drive the expressionvfor the radius of the circular path described by the electron .

Answer 2

Explanation:

It is given that, an electron is projected at right angle to a uniform magnetic field (B) with velocity v. The magnetic force acting on it is given by :

$F_m=qvB\ sin\theta$.......(1)

On the circular path, the centripetal force is also acting on it as :

$F_c=\dfrac{mv^2}{r}$........................(2)

m is the mass of electron

v is the speed of electron

r is the radius of circular path

From equation (1) and (2) :

$qvB=\dfrac{mv^2}{r}$

$r=\dfrac{mv}{qB}$

So, the radius of circular path depends on

1. Mass

2. Velocity

3. Charge

4. Magnetic field