Paths of Electrons in a Constant Electric Field
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 velocityseconds after entering the field:
We can integrate this to find thedistance movedseconds after entering the field:(1)
The electron is moving to the right at a constant speedso
Substitute this into (1) to obtainThis is the equation of a parabola.
Because an electron is so light it's acceleration is usually very large: