Inductance is proportional to turn count
========================================

The basic characteristic of a coil is its inductance, which is the ability of the coil
to accumulate energy as magnetic field.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Inductance#Solenoid>`__.

..
    TODO: fix file name

.. py:currentmodule:: symplyphysics.electromagnetism.magnetostatics.coil.inductance_is_proportional_to_turns_squared

.. 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 medium within the coil.

Symbol:
    :code:`mu`

Latex:
    :math:`\mu`

Dimension:
    :code:`inductance/length`


.. py:data:: turn_count

    Number of turns in the coil.

Symbol:
    :code:`N`

Latex:
    :math:`N`

Dimension:
    :code:`dimensionless`


.. py:data:: cross_sectional_area

    Cross sectional :attr:`~symplyphysics.symbols.classical_mechanics.area` of the coil.

Symbol:
    :code:`A`

Latex:
    :math:`A`

Dimension:
    :code:`area`


.. py:data:: length

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

Symbol:
    :code:`l`

Latex:
    :math:`l`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`L = mu * N^2 * A / l`


    Latex:
        .. math::
            L = \frac{\mu N^{2} A}{l}