Contents
- Calculator
- Parallel Plate Capacitor
- Purpose of the Calculator
- More info
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Calculator
This calculator can solve for any of the four variables \( C \), \( A \), \( d \), or \( \varepsilon_r \) when you provide the other three.
Parallel Plate Capacitor - Explanation
A parallel plate capacitor is a type of capacitor consisting of two conductive plates separated by a dielectric material. The capacitance \( C \) of such a capacitor is determined by the following formula:
\[
C = \frac{\varepsilon_0 \varepsilon_r A}{d}
\]
Where:
- \( C \) is the capacitance (in Farads, \(F\)),
- \( \varepsilon_0 \) is the dielectric constant of vacuum (\( 8.854 \times 10^{-12} \, \text{F/m} \)),
- \( \varepsilon_r \) is the relative dielectric constant of the material between the plates,
- \( A \) is the area of one of the plates (in square meters, \( m^2 \)), and
- \( d \) is the distance between the plates (in meters, \( m \)).
Purpose of the Calculator
This calculator can solve for any of the four variables \( C \), \( A \), \( d \), or \( \varepsilon_r \) when you provide the other three. It uses the following rearranged formulas to solve for each missing variable.
- To solve for \( C \) (capacitance):
\[
C = \frac{\varepsilon_0 \varepsilon_r A}{d}
\]
- To solve for \( A \) (area):
\[
A = \frac{C \cdot d}{\varepsilon_0 \varepsilon_r}
\]
- To solve for \( d \) (distance):
\[
d = \frac{\varepsilon_0 \varepsilon_r A}{C}
\]
- To solve for \( \varepsilon_r \) (relative dielectric constant):
\[
\varepsilon_r = \frac{C \cdot d}{A \cdot \varepsilon_0}
\]
More info
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