# Cylindrical Capacitor

on . Posted in Electromagnetism

Cylindrical capacitor, abbreviated as C, also called coaxial capacitor, is a type of capacitor with a cylindrical geometry.  It consists of two coaxial cylinders (cylinders that share the same axis) separated by a dielectric material.  The inner cylinder serves as one electrode, and the outer cylinder serves as the other electrode.  The space between the cylinders is filled with a dielectric material, which insulates the two electrodes and allows the capacitor to store electrical energy.

The capacitance of a cylindrical capacitor depends on several factors, including the dimensions of the cylinders and the properties of the dielectric material.  Cylindrical capacitors find applications in various electronic circuits and systems.  They are particularly useful when a compact design or a specific form factor is required.  The coaxial arrangement helps in achieving a uniform electric field between the two cylinders, making these capacitors suitable for applications where a stable capacitance value is crucial.

### Cylindrical Capacitor formula

$$C = 2 \; \pi \; \epsilon \; [ \; l \;/\; ln \; ( R \;/\; r ) \;]$$
Symbol English Metric
$$C$$ = cylinder capacitance $$F$$ $$s^4-A^2\;/\;kg-m^2$$
$$\pi$$ = Pi $$3.141 592 653 ...$$
$$\epsilon$$ (Greek symbol epsilon) = permittivity of free space $$lbf-ft$$ $$J$$
$$l$$ = capacitor length $$n$$ $$mm$$
$$ln$$ = natural log $$dimensionless$$
$$R$$ = outside radius $$in$$ $$mm$$
$$r$$ = inside radius $$in$$ $$mm$$

Tags: Electrical