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Q.

Electric field of dipole moment  p→=pi^ is kept at a point  (x,y) in an electric field  E→=4xy2i^+4x2yj^. Find the force on the dipole.

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a

4py2

b

4py(y2+2x2)1/2

c

4py2+8pxy

d

4py(y2+4x2)1/2

answer is D.

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Detailed Solution

Fx=px∂(Ex)∂x=p4y2;Fy=px∂∂x(Ey)=p8xyF=Fx2+Fy2=4pyy2+4x2
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Electric field of dipole moment  p→=pi^ is kept at a point  (x,y) in an electric field  E→=4xy2i^+4x2yj^. Find the force on the dipole.