Calculating Velocity of Electrons in Electric Field

[wordoflogic]

Homework Statement

Electrons with the speed v0 move through a constant electronic field E of length L
(A two plate conductor)

In the electric field the particle have gained a velocity component in y-direction
Show that this y-component is:


v_y=\frac{e*E*L}{m_e*v_0}

Tip: s=v_0*t+1/2*a*t^2, v=v_0+a*t, a=F/M

The Attempt at a Solution

I would think is has something with how much time the electron has to respond to the field in a y-direction. How much time does the electron use trough the field etc… but that’s hardly a guess…

 

[berkeman]

...and that time would probably be represented by the L/Vo term in the Vy equation...