Capacitance of Spherical Capacitor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
C = (K*Rs*ashell)/([Coulomb]*(ashell-Rs))
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 ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Dielectric Constant - The Dielectric Constant of a material is the ratio of its permittivity of the material to the permittivity of a vacuum.
Radius of Sphere - (Measured in Meter) - Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.
Radius of Shell - (Measured in Meter) - The Radius of shell is the measure of the Radius of the shell.
STEP 1: Convert Input(s) to Base Unit
Dielectric Constant: 4.5 --> No Conversion Required
Radius of Sphere: 1300 Millimeter --> 1.3 Meter (Check conversion here)
Radius of Shell: 1600 Millimeter --> 1.6 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (K*Rs*ashell)/([Coulomb]*(ashell-Rs)) --> (4.5*1.3*1.6)/([Coulomb]*(1.6-1.3))
Evaluating ... ...
C = 3.47146817298236E-09
STEP 3: Convert Result to Output's Unit
3.47146817298236E-09 Farad --> No Conversion Required
FINAL ANSWER
3.47146817298236E-09 3.5E-9 Farad <-- Capacitance
(Calculation completed in 00.004 seconds)

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6 Capacitance Calculators

Capacitance of Spherical Capacitor
Go Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
Capacitance of Cylindrical Capacitor
Go Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
Capacitance of Parallel Plate Capacitor
Go Parallel Plate Capacitance = (Dielectric Constant*[Permitivity-vacuum]*Area of Plates)/Distance between Two Masses
Capacitor with Dielectric
Go Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates
Capacitance for Parallel Plate Capacitors with Dielectric between them
Go Capacitance = (Permittivity*Dielectric Constant*Area of Plates)/Distance between Deflecting Plates
Capacitance
Go Capacitance = Dielectric Constant*Charge/Voltage

Capacitance of Spherical Capacitor Formula

Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
C = (K*Rs*ashell)/([Coulomb]*(ashell-Rs))

How to find spherical conductor?

The capacitance for spherical conductors can be obtained by evaluating the voltage difference between the conductors for a given charge on each. By applying Gauss's law to a charged conducting sphere, the electric field outside is found. The voltage between the spheres 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 Spherical Capacitor?

Capacitance of Spherical Capacitor calculator uses Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)) to calculate the Capacitance, The capacitance of Spherical Capacitor is a conducting sphere of radius 'a' surrounded concentrically by conducting spherical shell of inner radius 'b'. The inner shell has a total charge +Q and the outer shell has a charge -Q. 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 Dielectric Constant (K), Radius of Sphere (Rs) & Radius of Shell (ashell) and hit the calculate button. Here is how the Capacitance of Spherical Capacitor calculation can be explained with given input values -> 3.5E-9 = (4.5*1.3*1.6)/([Coulomb]*(1.6-1.3)).

FAQ

What is Capacitance of Spherical Capacitor?
The capacitance of Spherical Capacitor is a conducting sphere of radius 'a' surrounded concentrically by conducting spherical shell of inner radius 'b'. The inner shell has a total charge +Q and the outer shell has a charge -Q and is represented as C = (K*Rs*ashell)/([Coulomb]*(ashell-Rs)) or Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)). The Dielectric Constant of a material is the ratio of its permittivity of the material to the permittivity of a vacuum, Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface & The Radius of shell is the measure of the Radius of the shell.
How to calculate Capacitance of Spherical Capacitor?
The capacitance of Spherical Capacitor is a conducting sphere of radius 'a' surrounded concentrically by conducting spherical shell of inner radius 'b'. The inner shell has a total charge +Q and the outer shell has a charge -Q is calculated using Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere)). To calculate Capacitance of Spherical Capacitor, you need Dielectric Constant (K), Radius of Sphere (Rs) & Radius of Shell (ashell). With our tool, you need to enter the respective value for Dielectric Constant, 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 Dielectric Constant, Radius of Sphere & Radius of Shell. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Capacitance = Dielectric Constant*Charge/Voltage
  • Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
  • Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates
  • Capacitance = (Permittivity*Dielectric Constant*Area of Plates)/Distance between Deflecting Plates
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