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:**

#. 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:**

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

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Electric_dipole_moment#Energy_and_torque>`__.

.. py:currentmodule:: symplyphysics.laws.electricity.vector.torque_due_to_electric_dipole_in_uniform_electric_field

.. py:data:: torque

    Pseudovector of the :attr:`~symplyphysics.symbols.classical_mechanics.torque` acting on the object.

Symbol:
    :code:`tau`

Latex:
    :math:`{\vec \tau}`

Dimension:
    :code:`force*length`


.. py:data:: electric_dipole_moment

    Vector of the :attr:`~symplyphysics.symbols.electrodynamics.electric_dipole_moment` of the object.

Symbol:
    :code:`p`

Latex:
    :math:`{\vec p}`

Dimension:
    :code:`charge*length`


.. py:data:: electric_field

    Vector of the uniform electric field. See :attr:`~symplyphysics.symbols.electrodynamics.electric_field_strength`.

Symbol:
    :code:`E`

Latex:
    :math:`{\vec E}`

Dimension:
    :code:`voltage/length`


.. py:data:: law

    :code:`tau = cross(p, E)`


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