Power carried by coaxial waveguide
==================================

A coaxial waveguide is an electrical cable consisting of a central conductor and a
shield arranged coaxially and separated by an insulating material or an air gap. It is
used to transmit radio frequency electrical signals.

..
    TODO: find link

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.waveguides.power_carried_by_coaxial_waveguide

.. py:data:: power

    :attr:`~symplyphysics.symbols.basic.power` transmitted by the waveguide.

Symbol:
    :code:`P`

Latex:
    :math:`P`

Dimension:
    :code:`power`


.. py:data:: relative_permittivity

    :attr:`~symplyphysics.symbols.electrodynamics.relative_permittivity` of the insulator.

Symbol:
    :code:`epsilon_r`

Latex:
    :math:`\varepsilon_\text{r}`

Dimension:
    :code:`dimensionless`


.. py:data:: relative_permeability

    :attr:`~symplyphysics.symbols.electrodynamics.relative_permeability` of the insulator.

Symbol:
    :code:`mu_r`

Latex:
    :math:`\mu_\text{r}`

Dimension:
    :code:`dimensionless`


.. py:data:: voltage

    :attr:`~symplyphysics.symbols.electrodynamics.voltage` between the central conductor and the outer conductor.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`voltage`


.. py:data:: outer_diameter

    :attr:`~symplyphysics.symbols.classical_mechanics.diameter` of the outer conductor.

Symbol:
    :code:`d_o`

Latex:
    :math:`d_\text{o}`

Dimension:
    :code:`length`


.. py:data:: inner_diameter

    :attr:`~symplyphysics.symbols.classical_mechanics.diameter` of the inner conductor.

Symbol:
    :code:`d_i`

Latex:
    :math:`d_\text{i}`

Dimension:
    :code:`length`


.. py:data:: impedance_constant

    Constant equal to :math:`120 \Omega`.

    ..
        rename back to `vacuum_impedance`?

Symbol:
    :code:`Z_0`

Latex:
    :math:`Z_0`

Dimension:
    :code:`impedance`


.. py:data:: law

    :code:`P = V^2 / Z_0 * sqrt(epsilon_r / (mu_r * log(d_o / d_i)))`


    Latex:
        .. math::
            P = \frac{V^{2}}{Z_0} \sqrt{\frac{\varepsilon_\text{r}}{\mu_\text{r} \log \left( \frac{d_\text{o}}{d_\text{i}} \right)}}