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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

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

B

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

C

(c) `-2q`

D

(d)`+q`

Text Solution

Verified by Experts

The correct Answer is:
B

Here we have `(Qq)/(a)+(q^2)/(a)+(Qq)/(asqrt2)=0`
`:.` `Q=-(qsqrt2)/(sqrt2+1)=-(2q)/(2+sqrt2)`
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