Quality factor of filled rectangular resonator
==============================================

A rectangular resonator consists of metal walls and a material filling it. In the case
when the resonator is empty, its quality factor depends only on the losses in the metal
walls of the resonator. In the case of a filled resonator, the Q factor also depends on
the losses in the dielectric.

..
    TODO: find link

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.resonators.quality_factor_of_filled_rectangular_resonator

.. py:data:: filled_quality_factor

    :attr:`~symplyphysics.symbols.classical_mechanics.quality_factor` of the filled resonator.

Symbol:
    :code:`Q_1`

Latex:
    :math:`Q_{1}`

Dimension:
    :code:`dimensionless`


.. py:data:: empty_quality_factor

    :attr:`~symplyphysics.symbols.classical_mechanics.quality_factor` of the empty resonator.

Symbol:
    :code:`Q_0`

Latex:
    :math:`Q_{0}`

Dimension:
    :code:`dimensionless`


.. 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:`Q_1 = 1 / (1 / Q_0 + tan(delta))`


    Latex:
        .. math::
            Q_{1} = \frac{1}{\frac{1}{Q_{0}} + \tan \delta}