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Three identical charges each of 2muC are...

Three identical charges each of `2muC` are placed at the vertices of a triangle ABC. If `AB+AC=12 cm and AB.AC=32cm^(2)`, the potential energy of the charge at A is …………..

A

1.53 J

B

5.31 J

C

1.35 J

D

3.15 J

Text Solution

Verified by Experts

The correct Answer is:
C
`AB+AC=12cm, AB.AC=32cm^(2), AB=12-AC,`
`(12-AC) AC=32, AC^(2)-12AC+32=0 therefore AC=4 & AB=8`
Potential energy at `A=(1)/(4piepsilon_(0))q_(1)q_(2)[(1)/(AB)+(1)/(AC)]=1.35J`
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