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A point dipole is kept at the origin. Th...

A point dipole is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively: (Take V = 0 at infinity)

A

`0,(vecP)/(4piepsilon_(0)d^(3))`

B

`0,(-vecP)/(4piepsilon_(0)d^(3))`

C

`(|vecP|)/(4piepsilon_(0)d^(2)),(-vecP)/(4piepsilon_(0)d^(3))`

D

`(|vecP|)/(4piepsilon_(0)d^(2)),(-vecP)/(4piepsilon_(0)d^(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly it is the equatorial position
`vecE=-(kvecP)/(r^(3))=(1)/(4piepsilon_(0))(p)/(r^(3))hati`
put `r=d`
`vecE=(1)/(4piepsilon_(0))(p)/(d^(3))hatiimpliesV=0`.
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