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

Answer:

The magnetic field that will allow the electron to go through the region without being deflected is $2\times 10^{-4}\ T$.

Explanation:

Given that,

Velocity of the electron, $v=5\times 10^7\ m/s$

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, $\sin\theta=90^{\circ}$

$E=vB\\\\B=\dfrac{E}{v}\\\\B=\dfrac{10^4}{5\times 10^7}\\\\B=2\times 10^{-4}\ T$

So, the magnetic field that will allow the electron to go through the region without being deflected is $2\times 10^{-4}\ T$.