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Capacitance of a Cylindrical Capacitor Calculator

Category Physics ↺
Physics Electricity and Magnetism ↺
Electricity-And-Magnetism Capacitor ↺
✖The dielectric constant of a material is the ratio of its permittivity of the material to the permittivity of vacuum. The dielectric constant is therefore also known as the relative permittivity of the material. Since the dielectric constant is just a ratio of two similar quantities, it is dimensionless.ⓘ dielectric constant [k]
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✖The length of cylinder.ⓘ length of cylinder [l]
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✖The outer radius of the cylinder ⓘ outer radius [r₂]
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✖The inner radius of the cylinder ⓘ inner radius [r₁]
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✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance of a Cylindrical Capacitor [C]
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⎙ 4 Other formulas that you can solve using the same Inputs

Radial Heat flowing through a cylinder
Heat=(Thermal Conductivity*2*pi*(outer radius-inner radius)*Temperature Difference*length of cylinder)/((ln(outer radius/inner radius))*(outer radius-inner radius)) GO
Capacitance of a Parallel Plate Capacitor
parallel plate capacitance=dielectric constant*[Permitivity-vacuum]*Area/radius GO
Capacitance of a Spherical Capacitor
Capacitance=dielectric constant*radius*radius /([Coulomb]*(radius -radius)) GO
Capacitance
Capacitance=dielectric constant*Charge/Voltage GO

⎙ 8 Other formulas that calculate the same Output

Capacitance For The Parallel RLC Circuit When Q-Factor Is Given
Capacitance=(Inductance*Quantity Factor*Quantity Factor)/(Resistance*Resistance) GO
Capacitance For The Series RLC Circuit When Q-Factor Is Given
Capacitance=Inductance/(Quantity Factor*Quantity Factor*Resistance*Resistance) GO
Capacitance of a Spherical Capacitor
Capacitance=dielectric constant*radius*radius /([Coulomb]*(radius -radius)) GO
Equivalent Capacitance for Capacitors in Series
Capacitance=(Capacitance *Capacitance )/(Capacitance +Capacitance ) GO
Capacitance
Capacitance=dielectric constant*Charge/Voltage GO
Capacitance When The Time Constant And Frequency Is Given
Capacitance=1/(2*Time constant*pi*frequency) GO
Equivalent Capacitance for Capacitors in Parallel
Capacitance=Capacitance +Capacitance GO
Capacitance When The Time Constant Is Given
Capacitance=Time constant/Resistance GO

Capacitance of a Cylindrical Capacitor Formula

Capacitance=dielectric constant*length of cylinder/(2*[Coulomb]*(outer radius-inner radius))
More formulas
Capacitance GO
Current Density when Electric Current and Area is Given GO
Current Density when Resistivity is Given GO
Equivalent resistance in series GO
Capacitance of a Parallel Plate Capacitor GO
Capacitance of a Spherical Capacitor GO
Equivalent Capacitance for Capacitors in Parallel GO
Equivalent Capacitance for Capacitors in Series GO
Force between parallel plate capacitors GO
Energy Stored in Capacitor when Capacitance and Voltage are Given GO
Energy Stored in Capacitor when Charge and Capacitance are Given GO
Energy Stored in Capacitor when Charge and Voltage are Given GO
Current Density when Conductivity is Given GO

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' 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 a Cylindrical Capacitor?

Capacitance of a Cylindrical Capacitor calculator uses Capacitance=dielectric constant*length of cylinder/(2*[Coulomb]*(outer radius-inner radius)) to calculate the Capacitance, The capacitance of a Cylindrical Capacitor consists of a hollow or a solid cylindrical conductor surrounded by another concentric hollow spherical cylinder. Capacitance and is denoted by C symbol.

How to calculate Capacitance of a Cylindrical Capacitor using this online calculator? To use this online calculator for Capacitance of a Cylindrical Capacitor, enter dielectric constant (k), length of cylinder (l), inner radius (r₁) and outer radius (r₂) and hit the calculate button. Here is how the Capacitance of a Cylindrical Capacitor calculation can be explained with given input values -> 6.173E-12 = 1*1/(2*[Coulomb]*(10-1)).

FAQ

What is Capacitance of a Cylindrical Capacitor?
The capacitance of a 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-inner radius)). The dielectric constant of a material is the ratio of its permittivity of the material to the permittivity of vacuum. The dielectric constant is therefore also known as the relative permittivity of the material. Since the dielectric constant is just a ratio of two similar quantities, it is dimensionless, The length of cylinder, The inner radius of the cylinder and The outer radius of the cylinder .
How to calculate Capacitance of a Cylindrical Capacitor?
The capacitance of a 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-inner radius)). To calculate Capacitance of a Cylindrical Capacitor, you need dielectric constant (k), length of cylinder (l), inner radius (r₁) and outer radius (r₂). With our tool, you need to enter the respective value for dielectric constant, length of cylinder, inner radius and outer radius 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, inner radius and outer radius. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Capacitance=dielectric constant*Charge/Voltage
  • Capacitance=dielectric constant*radius*radius /([Coulomb]*(radius -radius))
  • Capacitance=Capacitance +Capacitance
  • Capacitance=(Capacitance *Capacitance )/(Capacitance +Capacitance )
  • Capacitance=Time constant/Resistance
  • Capacitance=1/(2*Time constant*pi*frequency)
  • Capacitance=Inductance/(Quantity Factor*Quantity Factor*Resistance*Resistance)
  • Capacitance=(Inductance*Quantity Factor*Quantity Factor)/(Resistance*Resistance)
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