Equations
Parallel-plate capacitor with a dielectric
Electricity and magnetism · id dielectric_capacitor
C = \frac{\kappa A}{4 \pi k d}
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
C | capacitance | F | Capacitance | 1e-15 to 1 |
kappa | relative permittivity | dimensionless | How much the dielectric multiplies the capacitance | 1 to 10000 |
A | plate area | m^2 | Area of each plate | 1e-08 to 10000 |
k | Coulomb constant | N*m^2/C^2 | 1/(4 pi epsilon_0) | |
d | plate separation | m | Gap between the plates | 1e-09 to 1 |
Assumptions
- Dielectric fills the gap
- Plates large compared with the gap
Valid when
- No extra conditions.
Found by
Questions with these words retrieve this equation: dielectric, capacitor, capacitance, relative permittivity, insulator, plates.
Source
OpenStax University Physics Volume 2, Chapter 8 (reference; entry written by the project). License: MIT. Entry confidence: 0.98.