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Q.

Two positive charges of magnitude ‘q’ are placed, at the end of a side (side1)  of a square of side ‘2a’.Two negative charges of the same magnitude are kept at the other corners. Starting from rest, if a charge Q moves from the middle of side 1 to the centre of square, its kinetic energy at the centre of square is

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a

zero

b

14πε02qQa125

c

14πε02qQa115

d

14πε02qQa1+15

answer is D.

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Detailed Solution

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Potential at point A,
VA=2kqa2kqa5 
 (potential due to each q=kaa  and potential due to each  q=kqa52a2+a2=a5
Potential at point .B,
VB=0 
 point B is equidistant from all the four  charges)
  Using work energy theorem,
(WAB)electric=Q(VAVB) 
=2kqQa115
=14πε02Qqa115
 

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