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# Volumetric Energy Density of Parallel Plate, Cylindrical and Spherical Capacitors. Online Calculator.

## The online calculator for calculating the volumetric energy density of the electric field in a capacitor helps you to calculate the volumetric energy density of the electric field of a flat (parallel plate), cylindrical and spherical capacitor and gives a detailed solution. Units of measurement can include any SI prefixes. The calculator automatically converts one SI prefix to another. Calculator calculates: Volumetric energy density of the electric field in flat (parallel plate) capacitor.Volumetric energy density of the electric field in cylindrical capacitor.Volumetric energy density of the electric field in spherical capacitor.

Volumetric Energy Density of the Electric Field in Flat (Parallel Plate) Capacitor Calculator

A parallel plate capacitor consists of two parallel conducting plates separated by a dielectric, located at a small distance from each other.

In a parallel plate capacitor, the electric field E is uniform and does not depend on the distance d between the plates, since the distance d is small compared to the dimensions of the plates.

Volumetric energy density of the electric field in flat (parallel plate) capacitor is determined by the formula, where
Q - charge on the plate
Îµ0 â€“ vacuum permittivity, Îµ0 = 8.85418781762039 Ã— 10-12
Îµ â€“ permittivity of dielectric
S - Area of one plate (it is assumed that the plates are the same)

The SI unit of energy W is joule (J).
Permittivity Îµ =
Electric charge Q =
Area of one plate (it is assumed that the plates are the same) S =
The SI unit of energy w

Volumetric Energy Density of the Electric Field in Cylindrical Capacitor Calculator

A cylindrical capacitor is a capacitor, the plates of which are two cylinders, the inner one with the radius R1 and the outer one with the radius R2. Between the plates there is a dielectric whose permittivity is Îµ.

Volumetric energy density of the electric field in cylindrical capacitor is determined by the formula, where
Q - electric charge
Ï€ â€“ the number Pi (3.1415926535897932384626433832795â€¦)
Îµ0 â€“ vacuum permittivity, Îµ0 = 8.85418781762039 Ã— 10-12
Îµ â€“ permittivity of dielectric
l â€“ length of the cylinder
r is the distance from the axis of symmeters of the cylinders to the point at which it is necessary to find the volumetric energy density of the electric field. It is important R1 < r < R2, since in the region from the center of the capacitor to R1, as well as in the region exceeding R2, there are no charges and the field equals zero.

The SI unit of energy W is joule (J).
Permittivity Îµ =
Electric charge Q =
Length l =
The SI unit of energy w

Volumetric Energy Density of the Electric Field in Spherical Capacitor Calculator

A spherical capacitor is a capacitor whose plates are two concentric spheres with radii R1 and R2, between which there is a dielectric whose permittivity is Îµ.

Volumetric energy density of the electric field in spherical capacitor is determined by the formula, where
Q - electric charge
Ï€ â€“ the number Pi (3.1415926535897932384626433832795â€¦)
Îµ0 â€“ vacuum permittivity, Îµ0 = 8.85418781762039 Ã— 10-12
Îµ â€“ permittivity of dielectric
r is the distance from the axis of symmeters of the cylinders to the point at which it is necessary to find the volumetric energy density of the electric field. It is important R1 < r < R2, since in the region from the center of the capacitor to R1, as well as in the region exceeding R2, there are no charges and the field equals zero.

The SI unit of energy W is joule (J).
Permittivity Îµ =
Electric charge Q =