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:
\(\\left( \vec a, \vec b \\right)\) (
dot(a, b)
) is the dot product between vectors \(\vec a\) and \(\vec b\).
Notes:
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:
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:
- 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:
- \[\Phi_{\vec E} = \left( {\vec E}, {\vec A} \right)\]