Electric field in gas gap between two electrodes
================================================

Consider a two-electrode gas-filled gap with flat electrodes. Let one of the electrodes
emit charged particles into a gaseous medium. If the potential collecting these charged
particles is set to another electrode, then a current will flow through the gap.

**Conditions:**

#. Emittivity of the emitter is unlimited, i.e. emission of charged particles is much
   greater than current between electrodes.
#. There is gaseous medium between electrodes.

..
    TODO: find link

.. py:currentmodule:: symplyphysics.laws.electricity.electric_intensity_in_gas_gap_between_two_electrodes

.. py:data:: electric_field_strength

    :attr:`~symplyphysics.symbols.electrodynamics.electric_field_strength` at a point between the electrodes.

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`voltage/length`


.. py:data:: coordinate

    :attr:`~symplyphysics.symbols.classical_mechanics.position` of said point on the axis which runs from the cathode to the anode.

Symbol:
    :code:`x`

Latex:
    :math:`x`

Dimension:
    :code:`length`


.. py:data:: distance

    :attr:`~symplyphysics.symbols.classical_mechanics.euclidean_distance` between the electrodes.

Symbol:
    :code:`d`

Latex:
    :math:`d`

Dimension:
    :code:`length`


.. py:data:: voltage

    :attr:`~symplyphysics.symbols.electrodynamics.voltage` between the electrodes.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`voltage`


.. py:data:: law

    :code:`E = 3 * sqrt(x / d) * V / d / 2`


    Latex:
        .. math::
            E = \frac{3 \sqrt{\frac{x}{d}} \frac{V}{d}}{2}