1 Answer
The formula for the capacitance of a capacitor is given by:
\[
C = \frac{\epsilon_0 \cdot A}{d}
\]
Where:
For a capacitor with a dielectric material (other than air):
\[
C = \frac{\epsilon_r \cdot \epsilon_0 \cdot A}{d}
\]
Where:
This formula shows that the capacitance is directly proportional to the area of the plates and the dielectric constant of the material and inversely proportional to the distance between the plates.
\[
C = \frac{\epsilon_0 \cdot A}{d}
\]
Where:
- C is the capacitance (measured in Farads, F),
- ε₀ is the permittivity of free space (approximately \(8.85 \times 10^{-12} \, \text{F/m}\)),
- A is the area of one of the plates of the capacitor (in square meters, m²),
- d is the distance between the two plates (in meters, m).
For a capacitor with a dielectric material (other than air):
\[
C = \frac{\epsilon_r \cdot \epsilon_0 \cdot A}{d}
\]
Where:
- ε₀ is the permittivity of free space,
- εr is the relative permittivity (dielectric constant) of the material between the plates,
- A is the area of the plates,
- d is the distance between the plates.
This formula shows that the capacitance is directly proportional to the area of the plates and the dielectric constant of the material and inversely proportional to the distance between the plates.