Motion of charged particles in crossed electric and magnetic fields.

When Uniform electric and magnetic fields are perpendicular to ed oderand act over the same region they are said to be in crossed configuration. When electrons pass through the region, they are defected simultaneously both the fields. Let two charged plane parallel plates set up a uniform ele field E in the y-direction and a uniform magnetic induction B is also set up the same region between the plates in z-direction. The magnetic feld is sud to act into the page. The fields are so oriented that they are perpendicular to the direction of motion of electrons which is say, x-direction. Let a Step lectrons enter the crossed field configuration with a velocity v.
The electric field deflects the electrons upward where as the m field deflects them downward.
The force due to the electric field is and the force due to due to the electric field is -
FE=eE.