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. \(\\left( \vec a, \vec b \\right)\) (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

electric_flux.

Symbol:

Phi_E

Latex:

\(\Phi_{\vec E}\)

Dimension:

length*voltage

electric_field

Vector of the electric field. See electric_field_strength.

Symbol:

E

Latex:

\({\vec E}\)

Dimension:

voltage/length

area

Area pseudovector, i.e. a vector that is aligned in the direction of the unit normal to the surface and whose magnitude is equal to the area of the surface. See area.

Symbol:

A

Latex:

\({\vec A}\)

Dimension:

area

law

Phi_E = dot(E, A)

Latex:
\[\Phi_{\vec E} = \left( {\vec E}, {\vec A} \right)\]