Capacitance of Parallel Plate

📊 intermediate

$$C = \frac{\epsilon_0 A}{d}$$

Calculates the storage capacity of a parallel plate capacitor.

Variables & Units

$C$

Capacitance

Unit: Farad ($F$)

$\epsilon_0$

Permittivity of free space

Unit: $8.854 \times 10^{-12} F/m$

$A$

Area of one plate

Unit: Square meter ($m^2$)

$d$

Distance between plates

Unit: Meter ($m$)

Key Information

📐 Derived From

Gauss's Law for electric fields.

💡 Example

Designing a touch screen sensor.

🔧 Applications

Electronics and signal processing.

⚠️ Constraints

Assumes vacuum between plates and no fringe fields.

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