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A dipole of Dipole moment vec(p)=(p(0))/...

A dipole of Dipole moment `vec(p)=(p_(0))/(sqrt(2))(hat(i)+hat(j))`. Is placed at origin. Now a uniform external electrical filed at magnitude `E_(0)` is applied along direction of dipole. Two points A and B are lying on a equipotential surface of radius R centered at origin. A is along axial position of dipole and B is along equatorial position. There correct option are :

A

Net electric field at point A is `3E_(0)`

B

Net electric field at point B is Zero

C

Radius of equatorial surface `R = ((kp_(0))/(E_(0)))^(1//3)`

D

Radius of equatorial surface `R = ((sqrt(2)kp_(0))/(E_(0)))^(1//3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`E_("net")`Should be `_|_` to surface so `(kp_(0))/(r^(3))=E_(0) rArr = ((kp_(0))/(E_(0)))^(1//3)`
`(E_(A))_("Net")=(2kp_(0))/(r^(3))+E_(0)=3E_(0)`
`(E_(B))_("Net")=0`
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