Current density is charge density times drift velocity
======================================================

The vector of the electric current density is a vector whose magnitude is the electric current per
cross-sectional area at a given point in space and its direction is that of the motion of positive
electric charges at that point.

**Links:**

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

.. py:currentmodule:: symplyphysics.laws.electricity.vector.current_density_is_charge_density_times_drift_velocity

.. py:data:: current_density

    Vector of the :attr:`~symplyphysics.symbols.electrodynamics.current_density`.

Symbol:
    :code:`j`

Latex:
    :math:`{\vec j}`

Dimension:
    :code:`current/area`


.. py:data:: charge_density

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

Symbol:
    :code:`rho`

Latex:
    :math:`\rho`

Dimension:
    :code:`charge/volume`


.. py:data:: drift_velocity

    Vector of the :attr:`~symplyphysics.symbols.chemistry.drift_velocity`.

Symbol:
    :code:`u`

Latex:
    :math:`{\vec u}`

Dimension:
    :code:`velocity`


.. py:data:: law

    :code:`j = rho * u`


    Latex:
        .. math::
            {\vec j} = \rho {\vec u}