MathLiveVoltage as line integral of electric field
The voltage between two points a and b is the line integral of the electric field strength along a chosen path C from a to b. It is used to compute the potential difference between two points in an electric field.
U_{\mathrm{ab}} = \int_{\boldsymbol{r}_a(C)}^{\boldsymbol{r}_b} \boldsymbol{E} \cdot \mathrm{d}\boldsymbol{r}What the symbols mean
| voltage (electric potential difference) from point a to point b, in volts (V) | |
| electric field strength, in volts per metre (V/m) | |
| infinitesimal displacement vector along the path | |
| position vectors of the start point a and end point b | |
| path of integration from a to b |
About this formula
- FieldPhysics
- TopicElectromagnetism
- LevelUniversity
- Also calledvoltage, electric potential difference, electric tension, voltage line integral, potential difference from electric field, electric field line integral
- SourceWikidata Q25428
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