Deflection by a uniform electric field[]
Electric fields can be used to deflect beams of charged particles when the field is applied at a right angle to the path of the beam. Similiar to gravity being able to effect the direction of a projectile applied across the surface of the earth.
Charges particles being deflected in a field.
The velocity of the beam perpendicular to the electric field would not be effected. The process of deflecting charged particles by electric field is known as electrostatic deflection.
Strenght of a field is equal to E=V/d[]
When particles move into an electric field of strengh E. E is given by Voltage applied across the two plates divided by d , the seperation of the plates.
The field will have no effect on the horizontal speed of the charges particle as it moves through and will remain the same U little h. Therefore U little h is just the length L divided by the time taken to cross the field.The initial verticle speed of the particle is 0. The particles will follow trajectorys similiar to projectile motion or a bullet or cannon ball.
Acceleration[]
The acceleration is the forces on each particle divided by its mass and can be worked out by using F=ma and therefore a=F/m. The force on the particle will be given by EQ the Field strenght E times the Charge of the particles, F=EQ. This can be combined with using equations of motion to calculate vertical velocity changes as the particles cross the field.