Time constant of resistor-capacitor circuit
===========================================

The time constant of an RC circuit is the time it takes for the current to become
:math:`e` times smaller its original value. Also see `exponential decay
<https://en.wikipedia.org/wiki/Exponential_decay>`_.

**Links:**

#. `Wikipedia, second formula <https://en.wikipedia.org/wiki/Time_constant#Time_constants_in_electrical_circuits>`__.

.. py:currentmodule:: symplyphysics.laws.electricity.circuits.time_constant_of_resistor_capacitor_circuit

.. py:data:: time_constant

    :attr:`~symplyphysics.symbols.electrodynamics.electric_time_constant` of the circuit.

Symbol:
    :code:`tau`

Latex:
    :math:`\tau`

Dimension:
    :code:`time`


.. py:data:: resistance

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

Symbol:
    :code:`R`

Latex:
    :math:`R`

Dimension:
    :code:`impedance`


.. py:data:: capacitance

    :attr:`~symplyphysics.symbols.electrodynamics.capacitance` of the capacitor.

Symbol:
    :code:`C`

Latex:
    :math:`C`

Dimension:
    :code:`capacitance`


.. py:data:: law

    :code:`tau = R * C`


    Latex:
        .. math::
            \tau = R C