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Two small electric dipoles each of dipol...

Two small electric dipoles each of dipole moment `p hati` are situated at `(0,0,0)` and `(r,0,0)`. The electric potential at a point `((r)/(2),(sqrt(3r))/(2),0)` is:

A

`(p)/(4pi in_(0)r^(2))`

B

0

C

`(p)/(2pi in_(0)r^(2))`

D

`(p)/(8pi in_(0)r^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B


As `ON = MN = OM = r`
So its equilateral triangle
`:.` Potential at N due to two dipoles ,
`V = V_(1)+V_(2)=(Kpcos 60^(@))/(r^(2))+(Kp cos(pi -60^(@)))/(r^(2))=0`
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