Cylindrical Capacitor Calculator

How to Use the Calculator

1. Enter the length of the cylindrical capacitor in meters.
2. Enter the inner radius of the cylindrical capacitor in meters.
3. Enter the outer radius of the cylindrical capacitor in meters.
4. Enter the permittivity of the dielectric material used in the capacitor. The default value is the permittivity of free space (8.854e-12 F/m).
5. Click the "Calculate" button to calculate the capacitance.
6. The result will be displayed in farads (F).

Working Principle

A cylindrical capacitor consists of two concentric cylindrical conductors separated by a dielectric material. The capacitance of a cylindrical capacitor can be calculated using the formula:

C = 2πεL / ln(outer_radius / inner_radius)

Where:

• C is the capacitance of the cylindrical capacitor in farads (F).
• πε is the permittivity of the dielectric material in farads per meter (F/m).
• L is the length of the cylindrical capacitor in meters (m).
• outer_radius is the outer radius of the cylindrical capacitor in meters (m).
• inner_radius is the inner radius of the cylindrical capacitor in meters (m).

This formula assumes that the length of the cylindrical capacitor is much greater than its radius, which allows for the approximation that the electric field is uniform along the length of the capacitor.