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

Three charge `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

b. Here, we have `=(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=(qsqrt(2))/(sqrt(2+1))=-(2q)/(2+sqrt(2))`
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