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If three point charges are placed at the...

If three point charges are placed at the three corners of a square of diagonals 2a as shown in figure. Then `int_(B)^(A) vecE.vec(dr)` will be -

A

`(q)/(4pi epsilon_(0)a)`

B

`(-q)/(8pi epsilon_(0)a)`

C

`(-q)/(4pi epsilon_(0)a)`

D

`(q)/(8pi epsilon_(0)a)`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(B)-V_(A) = -int_(A)^(B) vecE.dvecr= int_(B)^(A) vecE.dvecr`
Now `V_(B)="K"(q)/(2a) -(kq)/(a)= -(kq)/(2a)`
`:.int_(B)^(A) vecE.dvecr= -(kq)/(2a)= -(q)/(8pi epsilon_(0)a)`
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