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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? - Physics

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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?

Short/Brief Note
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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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