Attenuation of three link microwave attenuator
==============================================

Microwave attenuators are used to attenuate the microwave signal. For a three-link
T-type attenuator or a π-type attenuator, the signal attenuation coefficient is
calculated from the ratio of resistances of the resistors.

..
    TODO: find link
    TODO: fix file name

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.couplers.attenuation_coefficient_of_three_link_microwave_attenuator

.. py:data:: attenuation

    :attr:`~symplyphysics.symbols.electrodynamics.attenuation` of the attenuator.

Symbol:
    :code:`A`

Latex:
    :math:`A`

Dimension:
    :code:`dimensionless`


.. py:data:: first_resistance

    :attr:`~symplyphysics.symbols.electrodynamics.electrical_resistance` of the first section.

Symbol:
    :code:`R_1`

Latex:
    :math:`R_{1}`

Dimension:
    :code:`impedance`


.. py:data:: second_resistance

    :attr:`~symplyphysics.symbols.electrodynamics.electrical_resistance` of the second section.

Symbol:
    :code:`R_2`

Latex:
    :math:`R_{2}`

Dimension:
    :code:`impedance`


.. py:data:: law

    :code:`A = exp(acosh(1 + R_1 / R_2))`


    Latex:
        .. math::
            A = \exp{\left(\operatorname{acosh}{\left(1 + \frac{R_{1}}{R_{2}} \right)} \right)}