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Three charges Q, +q and +q are placed at...

Three charges Q, +q and +q are placed at the vertices of a right angle triangle (isoscles triangle) as shown. The net electrostatic energy of the configuration is zero, if Q is equal to :

A

`(-q)/(1+sqrt(2))`

B

`(-2q)/(2+sqrt(2))`

C

`-2q`

D

`+q`

Text Solution

Verified by Experts

The correct Answer is:
B
Net electrostatic energy of the configuration will be `U=K[(q.q)/a+(Q.q)/sqrt(2a)+(Q.q)/q]=OrArr Q=(-2q)/(2+sqrt(2))`
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