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Four charges +q, +q, -q, and -q are plac...

Four charges `+q, +q, -q, and -q` are placed, respectively, at the corners `A,B,C, and D` of a square of side `a`, arranged in the given order. `E and F` are the midpoints of sides `BC and CD`, respectively, `O` is the center of square.
The work done in carrying a charge `e` from `O` to E is.

A

zero

B

`(3qQ)/(4 pi in_(0) a)`

C

`(3qQ)/(8 pi in_(0) a)`

D

`(qQ)/(4 pi in_(0) a)`

Text Solution

Verified by Experts

The correct Answer is:
1

`V_(D) = (1)/( 4pi in_(0)) [ (q)/(a) xx 2 + (q)/(sqrt(5) a)]`
`V_(E ) = (1)/(4 pi in_(0)) [ (q)/(a) xx 2 + (q)/(sqrt(5) a)]`
`W_(D rarr E) = Q (V_(E) = V_(D)) = 0`
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