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Four point charges -Q, -q, 2q and 2Q are...

Four point charges `-Q, -q, 2q` and `2Q` are placed, one at each corner of the square. The relation between `Q` and `q` for which the potential at the centre of the square is zero is

A

Q = q

B

`Q = -1/q`

C

Q = q

D

`Q = 1/ q`

Text Solution

Verified by Experts

The correct Answer is:
A


V = 0
`implies (K(-Q))/(a/sqrt2)+(K(-q))/(a//sqrt2)+(K(2q))/(a//sqrt2)+(K(2Q))/(a//sqrt2)=0`
`implies -Q -q + 2q + 2Q = 0 implies Q =-q`
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