Electric field due to dipole (Vector)
=====================================



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

.. py:data:: electric_field

    Vector of the electric field. See :attr:`~symplyphysics.symbols.electrodynamics.electric_field_strength`.

Symbol:
    :code:`E`

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

Dimension:
    :code:`voltage/length`


.. py:data:: electric_dipole_moment

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

Symbol:
    :code:`p`

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

Dimension:
    :code:`charge*length`


.. py:data:: position_vector

    Position vector of the point in space.  See :attr:`~symplyphysics.symbols.classical_mechanics.distance_to_origin`.

Symbol:
    :code:`r`

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

Dimension:
    :code:`length`


.. py:data:: electric_field_law

    :code:`E = (3 * dot(p, r) / norm(r)^5 * r - p / norm(r)^3) / (4 * pi * epsilon_0)`


    Latex:
        .. math::
            {\vec E} = \frac{\frac{3 \left( {\vec p}, {\vec r} \right)}{\left \Vert {\vec r} \right \Vert^{5}} {\vec r} - \frac{{\vec p}}{\left \Vert {\vec r} \right \Vert^{3}}}{4 \pi \varepsilon_0}


.. py:data:: electric_dipole_moment_law

    :code:`p = 4 * pi * epsilon_0 * (3 * dot(E, r) / 2 * norm(r) * r - norm(r)^3 * E)`


    Latex:
        .. math::
            {\vec p} = 4 \pi \varepsilon_0 \left(\frac{3 \left( {\vec E}, {\vec r} \right)}{2} \left \Vert {\vec r} \right \Vert {\vec r} - \left \Vert {\vec r} \right \Vert^{3} {\vec E}\right)