Aparticle with mass m and charge q is put into the homogenous electric field e. assuming that at initial time the particle in rest find its velocty after the particle passes distance d.

Explanation:

Given that

Mass = m

Electric filed = E

Initial velocity = 0 m/s

We  know that

F= q E            -----------1

F= m a          --------2

a=Acceleration

F= Force

From equation 1 and 2

q E  = m a

a= q E/m

We also know that

So

Vo = 0

V²= 0² + 2 q E/m x d

This is velocity of charge q after distance d .

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