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

B

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

C

Q = `(2q)``/``(2 + sqrt(2))`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Net electrostatic energy `U = (kQq)/(a) + (kq^(2))/(a) + (kQq)/(a sqrt(2)) = 0`
`rArr (kq)/(a) (Q + q(Q)/(sqrt(2))) = 0 rArr Q = - (2q)/(2 + sqrt(2))`
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