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Two equal charges q are placed at a dist...

Two equal charges q are placed at a distance of 2a and a third charge `-2q` is placed at the midpoint. The potential energy of the system is ……………

A

`(9q^(2))/(8piin _(0)a)`

B

`(q^(2))/(8piin_(0)a)`

C

`-(7q^(2))/(8piin_(0)a)`

D

`(6q^(2))/(8piin_(0)a)`

Text Solution

Verified by Experts

The correct Answer is:
C
`U_("system")=(1)/(4piepsilon_(0))((q)(-2q))/(a)+(1)/(4piepsilon_(0))((-2q)(q))/(a)+(1)/(4piepsilon_(0))((q)(q))/(2a)=(-7q^(2))/(8piepsilon_(0)a)`
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