Capacitance of Cylindrical Capacitor Calculator

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✖The Dielectric Constant of a material is the ratio of its permittivity of the material to the permittivity of a vacuum.ⓘ Dielectric Constant [K]			+10% -10%
✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [l]			+10% -10%
✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r₁]			+10% -10%

✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance of Cylindrical Capacitor [C]

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Formula

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Capacitance of Cylindrical Capacitor

Formula

`"C" = ("K"*"l")/(2*"[Coulomb]"*("r"_{"2"}-"r"_{"1"}))`

Example

`"3.2E^-16F"=("4.5"*"0.006mm")/(2*"[Coulomb]"*("7500mm"-"2750mm"))`

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Capacitance of Cylindrical Capacitor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
C = (K*l)/(2*[Coulomb]*(r₂-r₁))
This formula uses 1 Constants, 5 Variables

Constants Used

[Coulomb] - Coulomb constant Value Taken As 8.9875E+9

Variables Used

Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Dielectric Constant - The Dielectric Constant of a material is the ratio of its permittivity of the material to the permittivity of a vacuum.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Dielectric Constant: 4.5 --> No Conversion Required
Length of Cylinder: 0.006 Millimeter --> 6E-06 Meter (Check conversion here)
Outer Radius of Cylinder: 7500 Millimeter --> 7.5 Meter (Check conversion here)
Inner Radius of Cylinder: 2750 Millimeter --> 2.75 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (K*l)/(2*[Coulomb]*(r₂-r₁)) --> (4.5*6E-06)/(2*[Coulomb]*(7.5-2.75))

Evaluating ... ...

C = 3.16226857862765E-16

STEP 3: Convert Result to Output's Unit

3.16226857862765E-16 Farad --> No Conversion Required

FINAL ANSWER

3.16226857862765E-16 ≈ 3.2E-16 Farad <-- Capacitance

(Calculation completed in 00.004 seconds)

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< 6 Capacitance Calculators

Capacitance of Spherical Capacitor

Go Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))

Capacitance of Cylindrical Capacitor

Go Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))

Capacitance of Parallel Plate Capacitor

Go Parallel Plate Capacitance = (Dielectric Constant*[Permitivity-vacuum]*Area of Plates)/Distance between Two Masses

Capacitor with Dielectric

Go Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates

Capacitance for Parallel Plate Capacitors with Dielectric between them

Go Capacitance = (Permittivity*Dielectric Constant*Area of Plates)/Distance between Deflecting Plates

Capacitance

Go Capacitance = Dielectric Constant*Charge/Voltage

Capacitance of Cylindrical Capacitor Formula

Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
C = (K*l)/(2*[Coulomb]*(r₂-r₁))

How to find Cylindrical Capacitor?

The capacitance for cylindrical or spherical conductors can be obtained by evaluating the voltage difference between the conductors for a given charge on each. By applying Gauss's law to an infinite cylinder in a vacuum, the electric field outside a charged cylinder is founded. The voltage between the cylinders can be found by integrating the electric field along a radial line. Thereby, the capacitance can be found by taking the ratio of Q/V (Charge/Potential difference).

How to Calculate Capacitance of Cylindrical Capacitor?

Capacitance of Cylindrical Capacitor calculator uses Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)) to calculate the Capacitance, The capacitance of cylindrical capacitor consists of a hollow or a solid cylindrical conductor surrounded by another concentric hollow spherical cylinder. Capacitance is denoted by C symbol.

How to calculate Capacitance of Cylindrical Capacitor using this online calculator? To use this online calculator for Capacitance of Cylindrical Capacitor, enter Dielectric Constant (K), Length of Cylinder (l), Outer Radius of Cylinder (r₂) & Inner Radius of Cylinder (r₁) and hit the calculate button. Here is how the Capacitance of Cylindrical Capacitor calculation can be explained with given input values -> 3.2E-16 = (4.5*6E-06)/(2*[Coulomb]*(7.5-2.75)).

FAQ

What is Capacitance of Cylindrical Capacitor?

The capacitance of cylindrical capacitor consists of a hollow or a solid cylindrical conductor surrounded by another concentric hollow spherical cylinder and is represented as C = (K*l)/(2*[Coulomb]*(r₂-r₁)) or Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)). The Dielectric Constant of a material is the ratio of its permittivity of the material to the permittivity of a vacuum, Length of Cylinder is the vertical height of the Cylinder, The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder & The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.

How to calculate Capacitance of Cylindrical Capacitor?

The capacitance of cylindrical capacitor consists of a hollow or a solid cylindrical conductor surrounded by another concentric hollow spherical cylinder is calculated using Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)). To calculate Capacitance of Cylindrical Capacitor, you need Dielectric Constant (K), Length of Cylinder (l), Outer Radius of Cylinder (r₂) & Inner Radius of Cylinder (r₁). With our tool, you need to enter the respective value for Dielectric Constant, Length of Cylinder, Outer Radius of Cylinder & Inner Radius of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Capacitance?

In this formula, Capacitance uses Dielectric Constant, Length of Cylinder, Outer Radius of Cylinder & Inner Radius of Cylinder. We can use 4 other way(s) to calculate the same, which is/are as follows -

Capacitance = Dielectric Constant*Charge/Voltage
Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates
Capacitance = (Permittivity*Dielectric Constant*Area of Plates)/Distance between Deflecting Plates

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