Electric flux of uniform electric field
=======================================

Electric field at a point in space can be found by placing there a test charge and measuring
the electrostatic force that is applied to it.

**Notation:**

#. :math:`\left( \vec a, \vec b \right)` (:code:`dot(a, b)`) is the dot product between vectors
   :math:`\vec a` and :math:`\vec b`.

**Notes:**

#. Vector area is a vector quantity whose magnitude denotes the area of the surface it
   represents and whose direction denotes the orientation of the surface.

**Conditions:**

#. The electric field is uniform. This might be achieved by choosing a small enough surface
   that the electric field would be constant throughout it.

**Links:**

#. `Electric flux <https://en.wikipedia.org/wiki/Electric_flux#Overview>`__.

.. py:currentmodule:: symplyphysics.electromagnetism.electrostatics.electric_flux.electric_flux_of_uniform_electric_field

.. py:data:: electric_flux

    :attr:`~symplyphysics.symbols.electrodynamics.electric_flux`.

Symbol:
    :code:`Phi_E`

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

Dimension:
    :code:`length*voltage`


.. py:data:: electric_field

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

Symbol:
    :code:`E`

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

Dimension:
    :code:`voltage/length`


.. py:data:: area

    Area pseudovector, i.e. a vector that is aligned in the direction of the unit normal to the surface
    and whose magnitude is equal to the area of the surface. See :attr:`~symplyphysics.symbols.classical_mechanics.area`.

Symbol:
    :code:`A`

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

Dimension:
    :code:`area`


.. py:data:: law

    :code:`Phi_E = dot(E, A)`


    Latex:
        .. math::
            \Phi_{\vec E} = \left( {\vec E}, {\vec A} \right)