Limit operating frequency of vacuum diode
=========================================

The vacuum diode has a limit operating frequency. At higher frequencies, the diode stops
functioning normally, since the electrons will not have time to move from the cathode to
the anode.

**Notation:**

#. :math:`e` (:code:`e`) is :attr:`~symplyphysics.quantities.elementary_charge`.
#. :math:`m_\text{e}` (:code:`m_e`) is :attr:`~symplyphysics.quantities.electron_rest_mass`.

..
    TODO: find link

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.diodes.limit_operating_frequency_of_vacuum_diode

.. py:data:: limit_frequency

    Limit operating :attr:`~symplyphysics.symbols.classical_mechanics.temporal_frequency` of the vacuum diode.

Symbol:
    :code:`f`

Latex:
    :math:`f`

Dimension:
    :code:`frequency`


.. py:data:: distance

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

Symbol:
    :code:`d`

Latex:
    :math:`d`

Dimension:
    :code:`length`


.. py:data:: voltage

    :attr:`~symplyphysics.symbols.electrodynamics.voltage` between cathode and anode.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`voltage`


.. py:data:: law

    :code:`f = sqrt(2 * e * V / m_e) / (6 * d)`


    Latex:
        .. math::
            f = \frac{\sqrt{\frac{2 e V}{m_\text{e}}}}{6 d}