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Figure shows an arrangement of three poi...

Figure shows an arrangement of three point charges. The total potential energy of this arrangment is zero. Calculate the ratio `q/Q`.

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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