Instantaneous energy of electric field
======================================

There is an oscillatory circuit with alternating current. Then the energy of the
electric field will depend on the inductance, the maximum value of the current, the
angular frequency of the current, the time and the initial phase.

.. py:currentmodule:: symplyphysics.laws.electricity.instantaneous_energy_of_electric_field

.. py:data:: energy

    :attr:`~symplyphysics.symbols.basic.energy` stored in the coil.

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`energy`


.. py:data:: inductance

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

Symbol:
    :code:`L`

Latex:
    :math:`L`

Dimension:
    :code:`inductance`


.. py:data:: current_amplitude

    :attr:`~symplyphysics.symbols.electrodynamics.current` amplitude.

Symbol:
    :code:`I_max`

Latex:
    :math:`I_\text{max}`

Dimension:
    :code:`current`


.. py:data:: angular_frequency

    :attr:`~symplyphysics.symbols.classical_mechanics.angular_frequency` of the current.

Symbol:
    :code:`w`

Latex:
    :math:`\omega`

Dimension:
    :code:`angle/time`


.. py:data:: time

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

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: initial_phase

    Initial :attr:`~symplyphysics.symbols.classical_mechanics.phase_shift` of the oscillations.

Symbol:
    :code:`phi`

Latex:
    :math:`\varphi`

Dimension:
    :code:`angle`


.. py:data:: law

    :code:`E = L * I_max^2 / 2 * cos(w * t + phi)^2`


    Latex:
        .. math::
            E = \frac{L I_\text{max}^{2}}{2} \cos^{2}{\left(\omega t + \varphi \right)}