Solving for a with Ma=Eq, ΔV, and m/d

[alanwangcot]

Homework Statement

Two parallel plates are separated by a distance d and a potential difference ΔV is applied between them. Write an expression for the acceleration of a charge q with a mass m between the plates

Relevant Equations

E=F/q, C=q/V, E=1/2CV^2

Tried using ma=Eq, then subbing E for 1/2CV^2, but can't seem to be getting anywhere. How can I get to the answer which is a=qΔV/md.

 

[PeroK]

Homework Statement: Two parallel plates are separated by a distance d and a potential difference ΔV is applied between them. Write an expression for the acceleration of a charge q with a mass m between the plates
Homework Equations: E=F/q, C=q/V, E=1/2CV^2

Tried using ma=Eq, then subbing E for 1/2CV^2, but can't seem to be getting anywhere. How can I get to the answer which is a=qΔV/md.

You could find the electric field.

 

[Cutter Ketch]

ma=Eq is the right approach. The reason you aren’t getting anywhere is because you are missing an equation. If they told you the capacitance you’d be in business, but they didn’t. They gave you the plate separation d. Can you relate the Electric field to the potential and the plate separation? (hint: it’s kinda definitional)