Capacitance of Spherical 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%
✖Radius of Sphere is the radius of a sphere in electrostatics, used to calculate the electric field and potential at a point in space.ⓘ Radius of Sphere [R_s]			+10% -10%
✖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.ⓘ Radius of Shell [a_shell]			+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 Spherical Capacitor [C]

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Capacitance of Spherical Capacitor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
C = (ε_r*R_s*a_shell)/([Coulomb]*(a_shell-R_s))
This formula uses 1 Constants, 4 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.
Radius of Sphere - (Measured in Meter) - Radius of Sphere is the radius of a sphere in electrostatics, used to calculate the electric field and potential at a point in space.
Radius of Shell - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Relative Permittivity: 4.5 --> No Conversion Required
Radius of Sphere: 12400000 Meter --> 12400000 Meter No Conversion Required
Radius of Shell: 27600000 Meter --> 27600000 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (ε_r*R_s*a_shell)/([Coulomb]*(a_shell-R_s)) --> (4.5*12400000*27600000)/([Coulomb]*(27600000-12400000))

Evaluating ... ...

C = 0.0112734874828076

STEP 3: Convert Result to Output's Unit

0.0112734874828076 Farad --> No Conversion Required

FINAL ANSWER

0.0112734874828076 ≈ 0.011273 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 Spherical Capacitor Formula

LaTeX Go

Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
C = (ε_r*R_s*a_shell)/([Coulomb]*(a_shell-R_s))

What is spherical conductor?

A spherical conductor is a conductor with a spherical shape. When charged, the electric charge distributes uniformly over its surface due to the symmetry of the sphere. This uniform distribution results in a specific electric field pattern around the sphere.

How to Calculate Capacitance of Spherical Capacitor?

Capacitance of Spherical Capacitor calculator uses Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)) to calculate 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 calculate Capacitance of Spherical Capacitor using this online calculator? To use this online calculator 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. Here is how the Capacitance of Spherical Capacitor calculation can be explained with given input values -> 0.011273 = (4.5*12400000*27600000)/([Coulomb]*(27600000-12400000)).

FAQ

What is Capacitance of Spherical Capacitor?

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 and is represented as C = (ε_r*R_s*a_shell)/([Coulomb]*(a_shell-R_s)) or Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)). Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics, Radius of Sphere is the radius of a sphere in electrostatics, used to calculate the electric field and potential at a point in space & 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.

How to calculate Capacitance of Spherical Capacitor?

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 is calculated using Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)). To calculate Capacitance of Spherical Capacitor, you need Relative Permittivity (ε_r), Radius of Sphere (R_s) & Radius of Shell (a_shell). With our tool, you need to enter the respective value for Relative Permittivity, Radius of Sphere & Radius of Shell 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, Radius of Sphere & Radius of Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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