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Four charges are arranged at the corners...

Four charges are arranged at the corners of a square ABCD, as shown in the adjoining figure. The force on the charge kept at the centre O is

A

Zero

B

Along the diagonal AC

C

Along the diagonal BD

D

Perpendicular to side AB

Text Solution

Verified by Experts

The correct Answer is:
C
The net force acting on O

`vecF = vecF_(OB) + vecF_(OD)`
`F_(prop) and F_(OA)` are equal and opposite to each other. So, they will cancel out.
`:. F=(1)/(4pi epsilon) *((2q)Q)/(((asqrt(2))/(2))^(2))+(1)/(4pi epsilon) *((+2q)Q)/(((a sqrt(2))/(2))^(2))`
`(1)/(4pi epsilon) *(8q.Q)/(a^(2))` Along the diagonal BD
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