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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-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to

A

`(-q)/(1+sqrt2)`

B

`(-2q)/(2+sqrt2)`

C

`-2q`

D

`+q`

Text Solution

Verified by Experts

The correct Answer is:
B
Net electrostatic energy = 0 ltbgt `therefore (Qq)/(a) + (q^(2))/(a)+ (Qq)/(asqrt(2))=0 or Qsqrt(2) + qsqrt(2) Q = 0`
` or Q(sqrt(2)+1) = - qsqrt(2) or Q = (-2q)/((2+sqrt(2)))`
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