An electric dipole has the magnitude of its charge as q and dipole moment as p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field. the force on it and its potential energy are respectively

Question

An electric dipole has the magnitude of its charge as q and dipole moment as p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field. the force on it and its potential energy are respectively (A) 2 q ⋅ E and minimum (B) q ⋅ E and p ⋅ E (C) Zero and minimum (D) q ⋅ E and maximum

Tardigrade Admin · Accepted Answer

In the given condition angle between vecp and vecE is zero. Hence potential energy U=-p E cos 0=-p E= min. Also in uniform electric field F text net =0.

Q. An electric dipole has the magnitude of its charge as $q$ and dipole moment as $p$ . It is placed in a uniform electric field $E$ . If its dipole moment is along the direction of the field. the force on it and its potential energy are respectively

$2 q \cdot E$ and minimum

$q \cdot E$ and $p \cdot E$

Zero and minimum

$q \cdot E$ and maximum

In the given condition angle between $p$ and $E$ is zero.
Hence potential energy $U = - pE cos 0 = - pE = min$ .
Also in uniform electric field $F_{net} = 0$ .

Q. An electric dipole has the magnitude of its charge as q and dipole moment as p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field. the force on it and its potential energy are respectively

2q⋅E and minimum

q⋅E and p⋅E