Voltage is electric field times distance¶
Voltage between two points in space can be found as the negative line integral of the electric field across the path that connects those points. In the case of a constant electric field it can be simplified to the product of the electric field strength and the distance between the points, multiplying by the necessary sign.
Conditions:
The electric field is constant between the two points. This might be achieved by choosing a small enough distance between the points.
The electric field must be conservative, i.e. this law only applies in the electrostatic case.
Links:
- Symbol:
V- Latex:
\(V\)
- Dimension:
voltage
- electric_field_strength¶
- Symbol:
E- Latex:
\(E\)
- Dimension:
voltage/length
- distance¶
euclidean_distancebetween two points.
- Symbol:
d- Latex:
\(d\)
- Dimension:
length
- law¶
V = E * d- Latex:
- \[V = E d\]