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Question: Two identical charges of value Q each are placed at (–a, 0) and (a, 0). The co-ordinates of the poin...

Two identical charges of value Q each are placed at (–a, 0) and (a, 0). The co-ordinates of the points where net electric field is zero and maximum are respectively-

A

(0, 0), (0, 0)

B

(0, a/2\sqrt{2}), (0, 0)

C

(0, 0), (0, a/2\sqrt{2})

D

(a/2\sqrt{2}, 0), (0, a/2\sqrt{2})

Answer

(0, 0), (0, a/2\sqrt{2})

Explanation

Solution

Net electric field will be zero at origin.

At any co-ordinate (0, y) ENet = 2E cos 2q/2

=

For maximum electric field = 0

Solving y = ± a/2\sqrt { 2 }