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A system of three charges are placed as ...

A system of three charges are placed as shown in the figure :

If `D gt gt d`, the potential energy of the system is :

A

`1/(4pi epsilon_0)[-q^2/d-(q^Qd)/(2D^2)]`

B

`1/(4pi epsilon_0)[-q^2/d-(2q^Qd)/(D^2)]`

C

`1/(4pi epsilon_0)[-q^2/d-(q^Qd)/(D^2)]`

D

`1/(4pi epsilon_0)[-q^2/d-(q^Qd)/(D^2)]`

Text Solution

Verified by Experts

The correct Answer is:
C
`U_("system")=(1)/(4piepsilon_0)[((Qxxq))/(D+d//2)+(Q(-q))/((D-d//2))+(2xx(-q))/(d)]=(1)/(4piepsilon_0)[-(q^2)/(d)-(2qd)/(D^2)]" "(becauseD^(2)-(d^2)/(4)=D^(2))`
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