Self-induced electromotive force via time derivative of current
===============================================================

Expression for the self-induced emf can be derived from the Faraday's law featuring
the time derivative of current flowing through the circuit.

**Links:**

#. `Wikipedia, formula in box <https://en.wikipedia.org/wiki/Inductor#Constitutive_equation>`__.

.. py:currentmodule:: symplyphysics.laws.electricity.self_induced_electromotive_force_via_time_derivative_of_current

.. py:data:: time

    :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: electromotive_force

    Self-induced :attr:`~symplyphysics.symbols.electrodynamics.electromotive_force` as a function of :attr:`~time`.

Symbol:
    :code:`E(t)`

Latex:
    :math:`\mathcal{E}{\left(t \right)}`

Dimension:
    :code:`voltage`


.. py:data:: inductance

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

Symbol:
    :code:`L`

Latex:
    :math:`L`

Dimension:
    :code:`inductance`


.. py:data:: current

    :attr:`~symplyphysics.symbols.electrodynamics.current` in the circuit as a function of :attr:`~time`.

Symbol:
    :code:`I(t)`

Latex:
    :math:`I{\left(t \right)}`

Dimension:
    :code:`current`


.. py:data:: law

    :code:`E(t) = -L * Derivative(I(t), t)`


    Latex:
        .. math::
            \mathcal{E}{\left(t \right)} = - L \frac{d}{d t} I{\left(t \right)}