Rate of energy conduction through slab
======================================

The rate at which energy is conducted through a slab for which one face is maintained at a higher
temperature than the other face is proportional to the temperature difference of the faces and
its face area and inversely proportional to its length.

**Links:**

#. `Physics LibreTexts, formula 14.5.1 <https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/14%3A_Heat_and_Heat_Transfer_Methods/14.05%3A_Conduction>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.rate_of_energy_conduction_through_slab

.. py:data:: energy_conduction_rate

    Rate of energy conductivity through the slab. See :attr:`~symplyphysics.symbols.basic.power`.

Symbol:
    :code:`P`

Latex:
    :math:`P`

Dimension:
    :code:`power`


.. py:data:: thermal_conductivity

    :attr:`~symplyphysics.symbols.thermodynamics.thermal_conductivity` of the slab's material.

Symbol:
    :code:`k`

Latex:
    :math:`k`

Dimension:
    :code:`power/(length*temperature)`


.. py:data:: face_area

    :attr:`~symplyphysics.symbols.classical_mechanics.area` of the face of the slab.

Symbol:
    :code:`A`

Latex:
    :math:`A`

Dimension:
    :code:`area`


.. py:data:: slab_thickness

    Distance between the two faces of the slab. See :attr:`~symplyphysics.symbols.classical_mechanics.thickness`.

Symbol:
    :code:`h`

Latex:
    :math:`h`

Dimension:
    :code:`length`


.. py:data:: temperature_difference

    :attr:`~symplyphysics.symbols.thermodynamics.temperature` difference between the two faces of the slab.

Symbol:
    :code:`Delta(T)`

Latex:
    :math:`\Delta T`

Dimension:
    :code:`temperature`


.. py:data:: law

    :code:`P = k * A * Abs(Delta(T)) / h`


    Latex:
        .. math::
            P = \frac{k A \left|{\Delta T}\right|}{h}