Oppositely charged parallel plates are separated by $4\mathrm{.}56$ mm$.$ A potential difference of $600$ V exists between the plates.

$($a$)$ What is the magnitude of the electric field between the plates?

N$/$C

$($b$)$ What is the magnitude of the force on an electron between the plates?

N

$($c$)$ How much work must be done on the electron to move it to the negative plate if it is initially positioned $2\mathrm{.}86$ mm from the positive plate?

J