Inductance via number of turns and coil volume
==============================================

The inductance of a coil (a solenoid) can be expressed as a function of the material's
permeability, the number of turns in the coil per unit length and its volume.

**Links:**

#. `Physics LibreTexts, formula 14.3.12 <https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/14%3A_Inductance/14.03%3A_Self-Inductance_and_Inductors>`__.

..
    TODO rename file

.. py:currentmodule:: symplyphysics.laws.electricity.inductance_of_solenoid_depends_on_permeability_number_of_turns_volume

.. py:data:: inductance

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

Symbol:
    :code:`L`

Latex:
    :math:`L`

Dimension:
    :code:`inductance`


.. py:data:: absolute_permeability

    :attr:`~symplyphysics.symbols.electrodynamics.absolute_permeability` of the inside of the coil.

Symbol:
    :code:`mu`

Latex:
    :math:`\mu`

Dimension:
    :code:`inductance/length`


.. py:data:: specific_coil_turn_count

    Number of turns in the coil per unit length.

Symbol:
    :code:`n`

Latex:
    :math:`n`

Dimension:
    :code:`1/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:`L = mu * n^2 * V`


    Latex:
        .. math::
            L = \mu n^{2} V