Torque due to electric dipole moment in uniform electric field

An object with an electric dipole moment is subject to a torque when placed in an external electric field. The torque tends to align the dipole with the field.

Notes:

  1. The dipole receives no overall net force due to the fact that the forces exerted on the point charges constituting the dipole cancel each other.

Conditions:

  1. The electric field must be spatially uniform across the small region occupied by the dipole.

Links:

  1. Wikipedia.

torque

Pseudovector of the torque acting on the object.

Symbol:

tau

Latex:

\({\vec \tau}\)

Dimension:

force*length

electric_dipole_moment

Vector of the electric_dipole_moment of the object.

Symbol:

p

Latex:

\({\vec p}\)

Dimension:

charge*length

electric_field

Vector of the uniform electric field. See electric_field_strength.

Symbol:

E

Latex:

\({\vec E}\)

Dimension:

voltage/length

law

tau = cross(p, E)

Latex:
\[{\vec \tau} = \left[ {\vec p}, {\vec E} \right]\]