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Two equal point charges each of 3muC are...

Two equal point charges each of `3muC` are separated by a certain distance in metres. If they are located at `(i+j+k) and (2i+3j+k)`, then the electrostatic force between them is

A

`9xx10^(3)N`

B

`9xx10^(-3)N`

C

`10^(-3)N`

D

`9xx10^(-2)N`

Text Solution

Verified by Experts

We have, `q_(1)=q_(2)=3muC=3xx10^(-6)`
`r=(2i+3j+k)-(i+j+k)`
`=i+2j`
`r=sqrt((1)^(2)+(2)^(2))=sqrt(5)`
`F=(9xx10^(9)xxq_(1)q_(2))/(r^(2))`
`=9xx10^(9)xx(3xx10^(-6)xx3xx10^(-6))/((sqrt(5))^(2))`
`=(9xx10^(9)xx9xx10^(-12))/((5))`
`F=16.5xx10^(-3)N`
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