Capacitance Calculator

The Capacitance Calculator completes calculations for systems which have between 2 to 30 capacitors^{Note 1} and will calculate the:

Capacitance of a system when electric charge and potential difference are given
Capacitance of a parallel plate capacitor
Capacitance of a cylindrical-shaped capacitor
Capacitance of a spherical capacitor
Capacitance of a series system of capacitors
Capacitance of a parallel system of capacitors

Note 1: Contact us if you would like more capacitors added to the Capacitance Calculator

Capacitance Calculator Limitations: Medium is considered as homogenous

Capacitance Calculator
Number of Capicitors in the system (min 2, max 30)
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Calculator Precision (Decimal Places)
Electric charge of system (Q) C
Potential difference between plates (ΔV) V
Area of plates (A) m²
Electric constant or vacuum permittivity (ϵ₀) C²/N∙m²	× 10 power of
Dielectric constant (ϵ)
Distance between the plates of capacitor (d) m
Length of cylindrical capacitor (L) m
Base radius of the smaller cylinder (a) m
Base radius of the larger cylinder (b) m
Radius of the inner sphere (r) m
Radius of the outer sphere (R) m
Archimedes constant (π)
Capacitance of the first capacitor connected in a circuit (C₁) F
Capacitance of the second capacitor connected in a circuit (C₂) F

Capacitance Calculator Results (detailed calculations and formula below)
Capacitance of the system calculations
The capacitance of a system when electric charge and potential difference are given is F [Farad]
The capacitance of a parallel plate capacitor is F [Farad]
The capacitance of a cylindrical shaped capacitor is F [Farad]
The capacitance of a spherical shaped capacitor is F [Farad]
The capacitance of a series combination system of capacitors is F [Farad]
The capacitance of a parallel combination system of capacitors is F [Farad]
C = Q/∆V C = / C =
Capacitance of a parallel plate capacitor
C = ϵ × ϵ₀ × A/d C = × × / C = × × C =
Capacitance of cylindrical shaped capacitor calculations calculations
C_C = 2π × ϵ × ϵ₀ × L/lnb/a C_C = (2 × ) × × × /ln/a C_C = × × × L/ln C_C = × × × L/ C_C = × × × C_C =
Capacitance of spherical-shaped capacitor calculations
C_sp = **4π × ϵ × ϵ₀/1/r - 1/R C_sp = (4 × ) × × /1/ - 1/** C_sp = × × / - C_sp = / C_sp =
Capacitance of series combination of capacitors calculations
C_s = 1/ C_s = 1/ C_s = 1/ C_s = 1/ C_s =
Capacitance of a parallel combination of capacitors calculations
C_p = C_p = C_p =
Capacitance Calculator Input Values
Electric charge of system (Q) C [Coulomb]
Potential difference between plates (ΔV) V [Volt]
Area of plates (A) m² [square metres]
Electric constant or vacuum permittivity (ϵ₀) C²/N∙m²
Dielectric constant (ϵ)
Distance between the plates of capacitor (d) m [metre]
Length of cylindrical capacitor (L) m [metre]
Base radius of the smaller cylinder (a) m [metre]
Base radius of the larger cylinder (b) m [metre]
Radius of the inner sphere (r) m [metre]
Radius of the outer sphere (R) m [metre]
Archimedes constant (π)
Capacitance of the first capacitor connected in a circuit (C₁) F [Farad]
Capacitance of the second capacitor connected in a circuit (C₂) F [Farad]

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each capacitance calculation, the Capacitance Calculator will automatically calculate the results and update the Physics formula elements with each element of the capacitance calculation. You can then email or print this capacitance calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Capacitance. This image shows the properties and capacitance formula for the Capacitance. This calculator will calculate the Capacitance of a: system when electric charge and potential difference are given, parallel plate capacitor, cylindrical-shaped capacitor, spherical capacitor, series system of capacitors and parallel system of capacitors

Capacitance of the system Formula and Calculation

C = Q/∆V

Capacitance of a parallel plate capacitor Formula and Calculation

C = ϵ × ϵ₀ × A/d

Capacitance of cylindrical shaped capacitor Formula and Calculation

C_C = 2π × ϵ × ϵ₀ × L/lnb/a

Capacitance of spherical-shaped capacitor Formula and Calculation

C_sp = 4π × ϵ × ϵ₀/1/r - 1/R

Capacitance of series combination of capacitors Formula and Calculation

C_s = 1/1/C₁ + 1/C₂ + 1/C₃ ...

Capacitance of a parallel combination of capacitors Formula and Calculation

C_p = C₁ + C₂...

Electrostatics Physics Tutorials associated with the Capacitance Calculator

The following Physics tutorials are provided within the Electrostatics section of our Free Physics Tutorials. Each Electrostatics tutorial includes detailed Electrostatics formula and example of how to calculate and resolve specific Electrostatics questions and problems. At the end of each Electrostatics tutorial you will find Electrostatics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Electrostatics and test your knowledge of Physics by answering the test questions on Electrostatics.

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