An electric dipole of negligible length lies along x-axis of a coordinate system deduce an expression for the magnitude of electric field E due to the dipole of any point on its equatorial line. Mention direction
Answers
Electric field due to an electric dipole at a point on its axial line: AB is an electric dipole of two point charges −q and +q separated by small distance 2d. P is a point along the axial line of the dipole at a distance r from the midpoint O of the electric dipole.
The electric fiedl at the point P due to +q placed at B is,
E
(along BP)
The electric field at the point P due to −q placed at A is,
(along PA)
Therefore, the magnitude of resultant electric field (E) acts in the direction of the vector with a greater, magnitude. The resultant electric field at P is
Electric field due to an electric dipole at a point on its axial line: AB is an electric dipole of two point charges −q and +q separated by small distance 2d. P is a point along the axial line of the dipole at a distance r from the midpoint O of the electric dipole.
The electric fiedl at the point P due to +q placed at B is,
along BP
[∵ Electric dipole moment p=q×2d]
E acts in the direction of dipole moment
along BP
[∵ Electric dipole moment p=q×2d]
E acts in the direction of dipole momentE=E
along BP
[∵ Electric dipole moment p=q×2d]
E acts in the direction of dipole moment