Question

An electron moving with a velocity v= 5.0 × 107 m/s i enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is E= 104 V/m j. What magnetic field will allow the electron to go through the region without being deflected?

Answer 1

The magnetic field that will allow the electron to go through the region without being deflected is
`2* 10^(-4)\ T`.

Step-by-step explanation:

Given that,

Velocity of the electron,
`v=5* 10^7\ m/s`

Electric field,
`E=10^4\ V/m\ j`

We need to find the magnetic field that will allow the electron to go through the region without being deflected. It can be calculated as :

`qE=qvB\ \sin\theta`

Here,
`\sin\theta=90^(\circ)`

`E=vB\\\\B=(E)/(v)\\\\B=(10^4)/(5* 10^7)\\\\B=2* 10^(-4)\ T`

So, the magnetic field that will allow the electron to go through the region without being deflected is
`2* 10^(-4)\ T`.