Attenuation coefficient in dielectric
=====================================

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 attenuation coefficient of a
coaxial waveguide depends on the frequency of signal, as well as on the permittivity,
the permeability and the dielectric loss angle of the insulator material.

..
    TODO: find link

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

.. py:data:: attenuation_coefficient

    :attr:`~symplyphysics.symbols.electrodynamics.attenuation_coefficient` of the waveguide.

Symbol:
    :code:`alpha`

Latex:
    :math:`\alpha`

Dimension:
    :code:`1/length`


.. py:data:: absolute_permittivity

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

Symbol:
    :code:`epsilon`

Latex:
    :math:`\varepsilon`

Dimension:
    :code:`capacitance/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:: angular_frequency

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_frequency` of the signal.

Symbol:
    :code:`w`

Latex:
    :math:`\omega`

Dimension:
    :code:`angle/time`


.. py:data:: loss_tangent

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

Symbol:
    :code:`tan(delta)`

Latex:
    :math:`\tan \delta`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`alpha = w * sqrt(epsilon * mu) * tan(delta) / 2`


    Latex:
        .. math::
            \alpha = \frac{\omega \sqrt{\varepsilon \mu} \tan \delta}{2}