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Capacitance of Cylindrical Capacitor Formula

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GoCapacitance of Spherical Capacitor Formula

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Capacitance is the ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics. Check FAQs

C = \frac{ε r \cdot L Cylinder}{2 \cdot [Coulomb] \cdot (r 2 - r 1)}

C - Capacitance?ε_r - Relative Permittivity?L_Cylinder - Length of Cylinder?r₂ - Outer Radius of Cylinder?r₁ - Inner Radius of Cylinder?[Coulomb] - Coulomb constant?

Capacitance of Cylindrical Capacitor Example

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Here is how the Capacitance of Cylindrical Capacitor equation looks like with Values.

Here is how the Capacitance of Cylindrical Capacitor equation looks like with Units.

Here is how the Capacitance of Cylindrical Capacitor equation looks like.

0.0116 = \frac{4.5 \cdot 60000}{2 \cdot 9E+9 \cdot (0.075 - 0.0737)}

0.0116F = \frac{4.5 \cdot 60000m}{2 \cdot 9E+9 \cdot (0.075m - 0.0737m)}

0.0116 = \frac{4.5 \cdot 60000}{2 \cdot 9E+9 \cdot (0.075 - 0.0737)}

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Capacitance of Cylindrical Capacitor Solution

Follow our step by step solution on how to calculate Capacitance of Cylindrical Capacitor?

FIRST Step Consider the formula

C = \frac{ε r \cdot L Cylinder}{2 \cdot [Coulomb] \cdot (r 2 - r 1)}

Next Step Substitute values of Variables

∴

C = \frac{4.5 \cdot 60000m}{2 \cdot [Coulomb] \cdot (0.075m - 0.0737m)}

Next Step Substitute values of Constants

∴

C = \frac{4.5 \cdot 60000m}{2 \cdot 9E+9 \cdot (0.075m - 0.0737m)}

Next Step Prepare to Evaluate

∴

C = \frac{4.5 \cdot 60000}{2 \cdot 9E+9 \cdot (0.075 - 0.0737)}

Next Step Evaluate

∴

C = 0.0115544428834472F

LAST Step Rounding Answer

∴

C = 0.0116F

Capacitance of Cylindrical Capacitor Formula Elements

Variables

Constants

Capacitance

Capacitance is the ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics.

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

Relative Permittivity

Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics.

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permittivity

Length of Cylinder

Length of Cylinder is the distance between the two ends of a cylindrical shape, used to calculate the capacitance in electrostatics.

Symbol: L_Cylinder

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cylinder

Outer Radius of Cylinder

Outer Radius of Cylinder is the distance from the center of the cylinder to its outer surface in an electrostatic system.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cylinder

Inner Radius of Cylinder

Inner Radius of Cylinder is the radius of the inner surface of a cylindrical capacitor in electrostatics, used to calculate capacitance and electric field.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Cylinder

Coulomb constant

Coulomb constant appears in Coulomb's law and quantifies the electrostatic force between two point charges. It plays a fundamental role in the study of electrostatics.

Symbol: [Coulomb]

Value: 8.9875E+9

Other Formulas to find Capacitance

Go Capacitance

C = ε r \cdot \frac{Q}{V}

Go Capacitance of Spherical Capacitor

C = \frac{ε r \cdot R s \cdot a shell}{[Coulomb] \cdot (a shell - R s)}

Go Capacitor with Dielectric

C = \frac{ε \cdot ε r \cdot A}{s}

Other formulas in Capacitance category

Go Capacitance of Parallel Plate Capacitor

C ∥ = \frac{ε r \cdot [Permitivity-vacuum] \cdot A plate}{s}

Go Capacitance for Parallel Plate Capacitors with Dielectric between them

C ∥ = \frac{ε \cdot ε r \cdot A}{s}

Go Equivalent Capacitance for Two Capacitors in Parallel

C eq, Parallel = C 1 + C 2

Go Equivalent Capacitance for Two Capacitors in Series

C eq, Series = \frac{C 1 \cdot C 2}{C 1 + C 2}

How to Evaluate Capacitance of Cylindrical Capacitor?

Capacitance of Cylindrical Capacitor evaluator uses Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)) to evaluate 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 evaluate Capacitance of Cylindrical Capacitor using this online evaluator? To use this online evaluator 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.

FAQs on Capacitance of Cylindrical Capacitor

What is the formula to find Capacitance of Cylindrical Capacitor?

The formula of Capacitance of Cylindrical Capacitor is expressed as Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)). Here is an example- 0.011554 = (4.5*60000)/(2*[Coulomb]*(0.075-0.0737)).

How to calculate Capacitance of Cylindrical Capacitor?

With Relative Permittivity (ε_r), Length of Cylinder (L_Cylinder), Outer Radius of Cylinder (r₂) & Inner Radius of Cylinder (r₁) we can find Capacitance of Cylindrical Capacitor using the formula - Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder)). This formula also uses Coulomb constant .

What are the other ways to Calculate Capacitance?

Here are the different ways to Calculate Capacitance-

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

Can the Capacitance of Cylindrical Capacitor be negative?

No, the Capacitance of Cylindrical Capacitor, measured in Capacitance cannot be negative.

Which unit is used to measure Capacitance of Cylindrical Capacitor?

Capacitance of Cylindrical Capacitor is usually measured using the Farad[F] for Capacitance. Kilofarad[F], Millifarad[F], Microfarad[F] are the few other units in which Capacitance of Cylindrical Capacitor can be measured.

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Capacitance of Cylindrical Capacitor Formula

​GoCapacitance Formula

​GoCapacitance of Spherical Capacitor Formula

Capacitance of Cylindrical Capacitor Example

Capacitance of Cylindrical Capacitor Solution

Capacitance of Cylindrical Capacitor Formula Elements

Other Formulas to find Capacitance

Other formulas in Capacitance category

How to Evaluate Capacitance of Cylindrical Capacitor?

FAQs on Capacitance of Cylindrical Capacitor

Variable Name

GoCapacitance Formula

GoCapacitance of Spherical Capacitor Formula