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Figure shown an arrangement of three poi...

Figure shown an arrangement of three points charges. The total potential energy of this arrangement zero. The ratio `(q)/(Q)` is :

A

`4 : 1`

B

`2 : 1`

C

`1 : 1`

D

`1: 2`

Text Solution

Verified by Experts

The correct Answer is:
A

`U_(sys)=(1)/(4 pi epsilon_(0))[(-qQ)/(r)+((+q)(+q))/(2r)+(Q(-q))/(r)]=0`
`-Q+(q)/(2)-Q=0`
or `2Q=(q)/(2)or (q)/(Q)=(4)/(1)`
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