Suppose a single free electron were placed at the negative pole of your electrod

Question

Suppose a single free electron were placed at the negative pole of your electrode arrangement, and further assume the paper were a perfect conductor (so the electron would encounter no "friction"). If this electron were released from rest, show a calculation for how quickly i would be travelling by the time it got to the positive electrode. Repeat this calculation for a free proton which starts at rest at the positive electrode.

I'm just not sure what formula I'm supposed to use to calculate this. For the distance, we were just supposed to literally measure in between the electric field lines of our drawing.

Explanation / Answer

Let the potential difference applied is V and separation between electrodes is d.Then Electric field = V/d

Acceleration = V/md where m is either mass of electron or proton

then,this is a constant accelerated situation

=> 0.5×a×t^2 = d

=> 0.5×(V/md)×t^2 = d

=> t=(2md^2/V)^0.5

Answer

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