Voltage is electric field times distance
========================================

Voltage between two points in space can be found as the negative line integral of the electric
field across the path that connects those points. In the case of a constant electric field it can
be simplified to the product of the electric field strength and the distance between the points,
multiplying by the necessary sign.

**Conditions:**

#. The electric field is constant between the two points. This might be achieved by
   choosing a small enough distance between the points.

#. The electric field must be conservative, i.e. this law only applies in the electrostatic case.

**Links:**

#. `Physics LibreTexts <https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/07%3A_Electric_Potential/7.03%3A_Electric_Potential_and_Potential_Difference>`__.

.. py:currentmodule:: symplyphysics.electromagnetism.electrostatics.voltage.voltage_is_electric_field_times_distance

.. py:data:: voltage

    :attr:`~symplyphysics.symbols.electrodynamics.voltage` between two points.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`voltage`


.. py:data:: electric_field_strength

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

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`voltage/length`


.. py:data:: distance

    :attr:`~symplyphysics.symbols.classical_mechanics.euclidean_distance` between two points.

Symbol:
    :code:`d`

Latex:
    :math:`d`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`V = E * d`


    Latex:
        .. math::
            V = E d