The simplest way to produce a uniform electric filed is to put two oppositely charge plates opposite each other.
The electron enters from the left. When it enters the field it experiences a force
We can find the acceleration using
We can integrate this to find the velocity
seconds after entering the field:
We can integrate this to find the
distance movedseconds after entering the field:
(1)
The electron is moving to the right at a constant speed
so
Substitute this into (1) to obtain
This is the equation of a parabola.
Because an electron is so light it's acceleration is usually very large:
If
and
