Energy of magnetic field of coil
================================

Energy of a coil depends on the material of the core, the mangetic field strength within
the coil and volume of the core.

**Links:**

#. `Physics LibreTexts, derivable from 14.4.1 <https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/14%3A_Inductance/14.04%3A_Energy_in_a_Magnetic_Field>`__.

..
    TODO: replace `solenoid` with `coil` in file name

.. py:currentmodule:: symplyphysics.laws.electricity.energy_of_magnetic_field_of_solenoid

.. py:data:: energy

    :attr:`~symplyphysics.symbols.basic.energy` of the coil.

Symbol:
    :code:`E`

Latex:
    :math:`E`

Dimension:
    :code:`energy`


.. py:data:: relative_permeability

    :attr:`~symplyphysics.symbols.electrodynamics.relative_permeability` of the medium.

Symbol:
    :code:`mu_r`

Latex:
    :math:`\mu_\text{r}`

Dimension:
    :code:`dimensionless`


.. py:data:: magnetic_field_strength

    :attr:`~symplyphysics.symbols.electrodynamics.magnetic_field_strength`.

Symbol:
    :code:`H`

Latex:
    :math:`H`

Dimension:
    :code:`current/length`


.. py:data:: volume

    :attr:`~symplyphysics.symbols.classical_mechanics.volume` of the coil.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`volume`


.. py:data:: law

    :code:`E = mu_0 * mu_r * H^2 * V / 2`


    Latex:
        .. math::
            E = \frac{\mu_0 \mu_\text{r} H^{2} V}{2}