Resistor resistance in Wilkinson divider
========================================

The Wilkinson divider is a device designed to divide the power of a microwave signal
into two output ports. The microstrip version has one surface-mounted resistor. The
resistance of this resistor depends on the resistance of the transmission line and the
power ratio at the output ports.

..
    TODO: find link

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

.. py:data:: resistance

    :attr:`~symplyphysics.symbols.electrodynamics.electrical_resistance` of the resistor.

Symbol:
    :code:`R`

Latex:
    :math:`R`

Dimension:
    :code:`impedance`


.. py:data:: transmission_line_resistance

    :attr:`~symplyphysics.symbols.electrodynamics.electrical_resistance` of the transmission line.

Symbol:
    :code:`R_0`

Latex:
    :math:`R_{0}`

Dimension:
    :code:`impedance`


.. py:data:: power_ratio

    Ratio of the power at the outputs of the divider.

Symbol:
    :code:`k`

Latex:
    :math:`k`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`R = R_0 * (1 + k^2) / k`


    Latex:
        .. math::
            R = \frac{R_{0} \left(1 + k^{2}\right)}{k}