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Two electric dipoles, A, B with respecti...

Two electric dipoles, A, B with respective dipole moments `vec(d_(A))=-4" qa "hati and vec(d_(B))=-2" qa "hati` are placed on the x-axis with a seperation R, as shown in the figure

The distance from A at which both of them produce the same potential is :

A

`R/(sqrt2-1)`

B

`R/(sqrt2+1)`

C

`(sqrt2R)/(sqrt2-1)`

D

`(sqrt2R)/(sqrt2+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Potential should be of sign
`4/(R+x)^2=2/(x)^2`
`implies 2x=sqrt2 R+sqrt2x implies x=(sqrt2R)/(2-sqrt2) =R/(sqrt2-1), Ans is x+R= (sqrt2 R)/(sqrt2-1)`
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