About Cylindrical Capacitor Calculator (Formula)
The Cylindrical Capacitor Calculator is a tool used to calculate the capacitance of a cylindrical capacitor based on the given parameters. A cylindrical capacitor consists of two concentric cylindrical conductors separated by a dielectric material. The capacitance of such a capacitor is determined by its geometry and the permittivity of the dielectric material.
The formula used to calculate the capacitance of a cylindrical capacitor is as follows:
C = (2 * π * ε) / ln(b/a) * L
Where:
- C represents the capacitance of the cylindrical capacitor, measured in Farads (F).
- π is the mathematical constant pi, approximately equal to 3.14159.
- ε denotes the permittivity of the dielectric material between the conductors.
- ln(b/a) represents the natural logarithm of the ratio of the outer radius (b) to the inner radius (a) of the capacitor.
- L denotes the length of the capacitor.
To use the Cylindrical Capacitor Calculator, you need to provide the following input values:
- Permittivity (ε): The permittivity of the dielectric material, measured in Farads per meter (F/m).
- Outer Radius (b): The radius of the outer conductor of the cylindrical capacitor, measured in meters (m).
- Inner Radius (a): The radius of the inner conductor of the cylindrical capacitor, measured in meters (m).
- Length (L): The length of the cylindrical capacitor, measured in meters (m).
Once you have entered these values, simply click the “Calculate” button, and the calculator will use the provided formula to compute the capacitance of the cylindrical capacitor. The result will be displayed in the output section of the calculator.
The Cylindrical Capacitor Calculator is a convenient tool for engineers, physicists, and students working with cylindrical capacitors. It simplifies the calculation process, allowing users to quickly determine the capacitance based on the given parameters.