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Three point charges each of value + q ar...

Three point charges each of value `+ q` are placed on three vertices of a square of side a metre. What is the magnitude of the force on a point charge of value `-q` coulomb placed at the centre of the square?

A

`(1/(4piepsilon_0))(q/a)^2`

B

`(1/(2piepsilon_0))((2q)/a)^2`

C

`(1/(2piepsilon_0))(q/a)^2`

D

`(1/(4piepsilon_0))((2q)/a)^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Net force on -q from the charges at `B` and `D` at zero.
So, net force `-q` is only due to the charge at `A`.
`F=(1/(4piepsilon_0))(qxxq)/r^2`
where `r=sqrt2a/2=a/sqrt2`
`:. F=(1/(4piepsilon_0)) q^2/((1//sqrt2)^2)`
`=(1/(2piepsilon_0))(q/a)^2`
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