Electric flux of uniform electric field

Electric field at a point in space can be found by placing there a test charge and measuring the electrostatic force that is applied to it.

Notation:

  1. \(\vec a \cdot \vec b\) (dot(a, b)) is the dot product between vectors \(\vec a\) and \(\vec b\).

Notes:

  1. Vector area is a vector quantity whose magnitude denotes the area of the surface it represents and whose direction denotes the orientation of the surface.

Conditions:

  1. The electric field is uniform. This might be achieved by choosing a small enough surface that the electric field would be constant throughout it.

Links:

  1. Electric flux.

electric_flux_law(electric_field_, area_)[source]

Electric flux via electric field and vector area.

Law:

Phi_E = dot(E, A)

Latex:
\[\Phi_E = \vec E \cdot \vec A\]
Parameters:

  • electric_field_ –

    vector of electric field

    Symbol: E

    Latex: \(\vec E\)

    Dimension: voltage/length

  • area_ –

    vector area

    Symbol: A

    Latex: \(\vec A\)

    Dimension: area

Returns:

electric flux

Symbol: Phi_E

Latex: \(\Phi_E\)

Dimension: voltage*length