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Point charge are placed the corners of s...

Point charge are placed the corners of square of side 'a'. The value and nature of q can be best represented, to make the net force on Q zero as -

A

`-2 sqrt(2)Q`

B

`2 sqrt(2)Q`

C

`(-Q)/(2sqrt(2))`

D

`(Q)/(2sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Resultant of F and F = F'' =

`2F "cos"(90)/(2)= sqrt(2) (kQq)/(a^(2))`
To make force of Q zero:
`F'+F''=0 rArr (kQ^(2))/((sqrt(2)a)^(2))+(sqrt(2)kQq)/(a^(2))=0`
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