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Three charges each of value q are placed...

Three charges each of value `q` are placed at the corners of an equilateral triangle. A fourth charge `Q` is placed at the centre of the triangle. If `Q = -q`:

A

`(-q)/(sqrt(3))`

B

`-sqrt(3)q`

C

`sqrt(3)q`

D

`(q)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A

Net force on q is zero
Let the side of equilateral triangle be equal to a
`implies 2 q^2/(4 pi e_0 a^2) cos 30^@+ (Q q)/(4 pi e_0(a//sqrt3)^2)=0`
`implies Q=-2/3 q.sqrt3/2 implies Q=-q//sqrt3`
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