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Question
Consider two identical point charges located at points (0, 0) and (a, 0).
Is there a point on the line joining them at which the electric field is zero?
Solution
Let at `a/2`:
`E_1 = (Kq)/(a"/"2)^2`
`E_2 = (Kq)/(a"/"2)^2`
The net electric field at a/2:
Enet = E1 - E2
∵ E1 = E2
Enet = 0
at `a/2`
So `a/2` is a point where the electric field is zero.
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