Capacitance of Cylindrical Capacitor Calculator

✖Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics.ⓘ Relative Permittivity [ε_r]			+10% -10%
✖Length of Cylinder is the distance between the two ends of a cylindrical shape, used to calculate the capacitance in electrostatics.ⓘ Length of Cylinder [L_Cylinder]			+10% -10%
✖Outer Radius of Cylinder is the distance from the center of the cylinder to its outer surface in an electrostatic system.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%
✖Inner Radius of Cylinder is the radius of the inner surface of a cylindrical capacitor in electrostatics, used to calculate capacitance and electric field.ⓘ Inner Radius of Cylinder [r₁]			+10% -10%

✖Capacitance is the ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics.ⓘ Capacitance of Cylindrical Capacitor [C]

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Capacitance of Cylindrical Capacitor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
C = (ε_r*L_Cylinder)/(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 ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics.
Relative Permittivity - Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the distance between the two ends of a cylindrical shape, used to calculate the capacitance in electrostatics.
Outer Radius of Cylinder - (Measured in Meter) - Outer Radius of Cylinder is the distance from the center of the cylinder to its outer surface in an electrostatic system.
Inner Radius of Cylinder - (Measured in Meter) - Inner Radius of Cylinder is the radius of the inner surface of a cylindrical capacitor in electrostatics, used to calculate capacitance and electric field.

STEP 1: Convert Input(s) to Base Unit

Relative Permittivity: 4.5 --> No Conversion Required
Length of Cylinder: 60000 Meter --> 60000 Meter No Conversion Required
Outer Radius of Cylinder: 0.075 Meter --> 0.075 Meter No Conversion Required
Inner Radius of Cylinder: 0.0737 Meter --> 0.0737 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (ε_r*L_Cylinder)/(2*[Coulomb]*(r₂-r₁)) --> (4.5*60000)/(2*[Coulomb]*(0.075-0.0737))

Evaluating ... ...

C = 0.0115544428834472

STEP 3: Convert Result to Output's Unit

0.0115544428834472 Farad --> No Conversion Required

FINAL ANSWER

0.0115544428834472 ≈ 0.011554 Farad <-- Capacitance

(Calculation completed in 00.004 seconds)

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< Capacitance Calculators

Capacitance of Spherical Capacitor

LaTeX Go Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))

Capacitance of Cylindrical Capacitor

LaTeX Go Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))

Capacitance of Parallel Plate Capacitor

LaTeX Go Parallel Plate Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Area of Plates)/Distance between Deflecting Plates

Capacitance

LaTeX Go Capacitance = Relative Permittivity*Charge/Voltage

Capacitance of Cylindrical Capacitor Formula

LaTeX Go

Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
C = (ε_r*L_Cylinder)/(2*[Coulomb]*(r₂-r₁))

What is Cylindrical Capacitor?

A cylindrical capacitor consists of two concentric cylindrical conductors separated by an insulating material. The inner cylinder acts as one electrode, while the outer cylinder acts as the other. This setup allows the capacitor to store charge and energy between the cylinders.

How to Calculate Capacitance of Cylindrical Capacitor?

Capacitance of Cylindrical Capacitor calculator uses Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)) to calculate the Capacitance, Capacitance of Cylindrical Capacitor formula is defined as a measure of the ability of a cylindrical capacitor to store electric charge, which depends on the physical characteristics of the capacitor, such as the distance between the plates and the material used. It is an important parameter in electrical engineering and electronics. 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 Relative Permittivity (ε_r), Length of Cylinder (L_Cylinder), 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 -> 0.011554 = (4.5*60000)/(2*[Coulomb]*(0.075-0.0737)).

FAQ

What is Capacitance of Cylindrical Capacitor?

Capacitance of Cylindrical Capacitor formula is defined as a measure of the ability of a cylindrical capacitor to store electric charge, which depends on the physical characteristics of the capacitor, such as the distance between the plates and the material used. It is an important parameter in electrical engineering and electronics and is represented as C = (ε_r*L_Cylinder)/(2*[Coulomb]*(r₂-r₁)) or Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)). Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics, Length of Cylinder is the distance between the two ends of a cylindrical shape, used to calculate the capacitance in electrostatics, Outer Radius of Cylinder is the distance from the center of the cylinder to its outer surface in an electrostatic system & Inner Radius of Cylinder is the radius of the inner surface of a cylindrical capacitor in electrostatics, used to calculate capacitance and electric field.

How to calculate Capacitance of Cylindrical Capacitor?

Capacitance of Cylindrical Capacitor formula is defined as a measure of the ability of a cylindrical capacitor to store electric charge, which depends on the physical characteristics of the capacitor, such as the distance between the plates and the material used. It is an important parameter in electrical engineering and electronics is calculated using Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)). To calculate Capacitance of Cylindrical Capacitor, you need Relative Permittivity (ε_r), Length of Cylinder (L_Cylinder), Outer Radius of Cylinder (r₂) & Inner Radius of Cylinder (r₁). With our tool, you need to enter the respective value for Relative Permittivity, 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 Relative Permittivity, Length of Cylinder, Outer Radius of Cylinder & Inner Radius of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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