The potential difference between two large parallel plates is varied as v = at; a is a positive constant and t is time. An electron starts from rest at t = 0 from the plate which is at lower potential. If the distance between the plates is L, mass of electron m and charge on electron -e then find the velocity of the electron when it reaches the other plate.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
V = 
Sol.

Figure shows two parallel plates electric field between plates E = V/d
⇒ E = 
force on electron = qE =
,
So acceleration of e – = 
By acceleration =
; (v = velocity)
= 
⇒ dv =
dt
⇒
= 
⇒ v = 
Again, v =
=
...(1)
⇒
= 
⇒ L = 
∴ t = 
putting in eqn. (1)
v =
=
; v = 
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