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A point charge .q. is kept at each of th...

A point charge .q. is kept at each of the vertices of an equilateral triangle having each side .a.. Total electrostatic potential energy of the system is:

A

`((1)/(4pi epsilon_(0))) (3q^(2))/(a^(2))`

B

`((1)/(4pi epsilon_(0))) (3q)/(a)`

C

`((1)/(4pi epsilon_(0))) (3q^(2))/(a)`

D

`((1)/(4pi epsilon_(0))) (3q^(2))/(a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`U=(1)/(4pi epsilon_(0)) [(q_(1)q_(2))/(r_(12)) +(q_(1)q_(3))/(r_(13)) +(q_(2)q_(3))/(r_(23))]`
`=(1)/(4pi epsilon_(0)) [(q^(2))/(a) +(q^(2))/(a) +(q^(2))/(a)]`
`=(1)/(4pi epsilon_(0)) .(3q^(2))/(a)`
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