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Electric dipole of moment vecp = phati i...

Electric dipole of moment `vecp = phati` is kept at a point (x,y) in an electric field `vecE = 4xy^2hati + 4x^2yhatj`. Find the force on the dipole.

A

`4py^2`

B

`4py(y^2 + 2x^2)^1//2`

C

`4py^2 + 8pxy`

D

`4py(y^2 + 4x^2)^1//2`

Text Solution

Verified by Experts

The correct Answer is:
D

d. `F_(x)=P_(x)(del(E_(x))/(delx))=p4y^(2),F_(y)=p_(x)(del)/(delx)(E_(y))=p8xy`
`F=sqrt(F_(x)^(2)+F_(y)^(2))=4pysqrt(y^(2)+4x^(2))`
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