Surge impedance of microstrip line from frequency
=================================================

The frequency-dependent surge impedance of a microstrip line can be calculated from its
frequency-independent surge impedance and effective permittivity.

..
    TODO: rename file to feature *surge impedance*
    TODO: find link

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.transmission_lines.microstrip_lines.wave_resistance_of_microstrip_line_from_frequency

.. py:data:: surge_impedance

    :attr:`~symplyphysics.symbols.electrodynamics.surge_impedance` of the microstrip line when frequency dependence is taken
    into account.

Symbol:
    :code:`Z_S`

Latex:
    :math:`Z_\text{S}`

Dimension:
    :code:`impedance`


.. py:data:: independent_surge_impedance

    :attr:`~symplyphysics.symbols.electrodynamics.surge_impedance` of the microstrip line when frequency dependence is omitted.

Symbol:
    :code:`Z_S0`

Latex:
    :math:`Z_{\text{S}, 0}`

Dimension:
    :code:`impedance`


.. py:data:: effective_permittivity

    :attr:`~symplyphysics.symbols.electrodynamics.relative_permittivity` of the microstrip line when frequency dependence is
    taken into account. See :ref:`Effective permittivity of microstrip line <effective_permittivity_microstrip_line_def>`.

Symbol:
    :code:`epsilon_eff`

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

Dimension:
    :code:`dimensionless`


.. py:data:: independent_effective_permittivity

    :attr:`~symplyphysics.symbols.electrodynamics.relative_permittivity` of the microstrip line when frequency dependence is
    omitted. See :ref:`Effective permittivity of microstrip line <effective_permittivity_microstrip_line_def>`.

Symbol:
    :code:`epsilon_eff0`

Latex:
    :math:`\varepsilon_{\text{eff}, 0}`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`Z_S = Z_S0 * sqrt(epsilon_eff0 / epsilon_eff) * (epsilon_eff - 1) / (epsilon_eff0 - 1)`


    Latex:
        .. math::
            Z_\text{S} = Z_{\text{S}, 0} \sqrt{\frac{\varepsilon_{\text{eff}, 0}}{\varepsilon_\text{eff}}} \frac{\varepsilon_\text{eff} - 1}{\varepsilon_{\text{eff}, 0} - 1}