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Capacitance of Spherical Capacitor Formula

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GoCapacitance of Cylindrical 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 R s \cdot a shell}{[Coulomb] \cdot (a shell - R s)}

C - Capacitance?ε_r - Relative Permittivity?R_s - Radius of Sphere?a_shell - Radius of Shell?[Coulomb] - Coulomb constant?

Capacitance of Spherical Capacitor Example

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

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

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

0.0113 = \frac{4.5 \cdot 1.2E+7 \cdot 2.8E+7}{9E+9 \cdot (2.8E+7 - 1.2E+7)}

0.0113F = \frac{4.5 \cdot 1.2E+7m \cdot 2.8E+7m}{9E+9 \cdot (2.8E+7m - 1.2E+7m)}

0.0113 = \frac{4.5 \cdot 1.2E+7 \cdot 2.8E+7}{9E+9 \cdot (2.8E+7 - 1.2E+7)}

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Capacitance of Spherical Capacitor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{4.5 \cdot 1.2E+7m \cdot 2.8E+7m}{[Coulomb] \cdot (2.8E+7m - 1.2E+7m)}

Next Step Substitute values of Constants

∴

C = \frac{4.5 \cdot 1.2E+7m \cdot 2.8E+7m}{9E+9 \cdot (2.8E+7m - 1.2E+7m)}

Next Step Prepare to Evaluate

∴

C = \frac{4.5 \cdot 1.2E+7 \cdot 2.8E+7}{9E+9 \cdot (2.8E+7 - 1.2E+7)}

Next Step Evaluate

∴

C = 0.0112734874828076F

LAST Step Rounding Answer

∴

C = 0.0113F

Capacitance of Spherical 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

Radius of Sphere

Radius of Sphere is the radius of a sphere in electrostatics, used to calculate the electric field and potential at a point in space.

Symbol: R_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

Radius of Shell

Radius of Shell is the distance from the center of the nucleus to the outermost electron in an atom, representing the outer boundary of an electron shell.

Symbol: a_shell

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Shell

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 Cylindrical Capacitor

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

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 Spherical Capacitor?

Capacitance of Spherical Capacitor evaluator uses Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)) to evaluate the Capacitance, Capacitance of Spherical Capacitor formula is defined as a measure of the ability of a spherical capacitor to store electric charge, which depends on the permittivity of the surrounding medium, the radius of the spherical shell, and the distance between the shell and the center of the sphere. Capacitance is denoted by C symbol.

How to evaluate Capacitance of Spherical Capacitor using this online evaluator? To use this online evaluator for Capacitance of Spherical Capacitor, enter Relative Permittivity (ε_r), Radius of Sphere (R_s) & Radius of Shell (a_shell) and hit the calculate button.

FAQs on Capacitance of Spherical Capacitor

What is the formula to find Capacitance of Spherical Capacitor?

The formula of Capacitance of Spherical Capacitor is expressed as Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)). Here is an example- 0.011273 = (4.5*12400000*27600000)/([Coulomb]*(27600000-12400000)).

How to calculate Capacitance of Spherical Capacitor?

With Relative Permittivity (ε_r), Radius of Sphere (R_s) & Radius of Shell (a_shell) we can find Capacitance of Spherical Capacitor using the formula - Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)). 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*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
Capacitance=(Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates

Can the Capacitance of Spherical Capacitor be negative?

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

Which unit is used to measure Capacitance of Spherical Capacitor?

Capacitance of Spherical 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 Spherical Capacitor can be measured.

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Capacitance of Spherical Capacitor Formula

​GoCapacitance Formula

​GoCapacitance of Cylindrical Capacitor Formula

Capacitance of Spherical Capacitor Example

Capacitance of Spherical Capacitor Solution

Capacitance of Spherical Capacitor Formula Elements

Other Formulas to find Capacitance

Other formulas in Capacitance category

How to Evaluate Capacitance of Spherical Capacitor?

FAQs on Capacitance of Spherical Capacitor

Variable Name

GoCapacitance Formula

GoCapacitance of Cylindrical Capacitor Formula