Specific inductance of 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. The specific inductance of a
coaxial waveguide depends on the radius of the outer conductor and the radius of the
inner conductor, as well as on the permeability of the insulator material.

..
    TODO: find link

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

.. py:data:: specific_inductance

    :attr:`~symplyphysics.symbols.electrodynamics.inductance` of the waveguide per unit :attr:`~symplyphysics.symbols.classical_mechanics.length`.

Symbol:
    :code:`L`

Latex:
    :math:`L`

Dimension:
    :code:`inductance/length`


.. py:data:: absolute_permeability

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

Symbol:
    :code:`mu`

Latex:
    :math:`\mu`

Dimension:
    :code:`inductance/length`


.. py:data:: outer_radius

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

Symbol:
    :code:`r_o`

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

Dimension:
    :code:`length`


.. py:data:: inner_radius

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

Symbol:
    :code:`r_i`

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

Dimension:
    :code:`length`


.. py:data:: law

    :code:`L = mu / (2 * pi) * log(r_o / r_i)`


    Latex:
        .. math::
            L = \frac{\mu}{2 \pi} \log \left( \frac{r_\text{o}}{r_\text{i}} \right)