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Indian Institute of Technology (IIT), Palakkad
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Capacitance Solution

STEP 0: Pre-Calculation Summary
Formula Used
capacitance = dielectric constant*Charge/Voltage
C = k*q/V
This formula uses 3 Variables
Variables Used
dielectric constant- The dielectric constant of a material is the ratio of its permittivity of the material to the permittivity of vacuum. The dielectric constant is therefore also known as the relative permittivity of the material. Since the dielectric constant is just a ratio of two similar quantities, it is dimensionless.
Charge - A charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter. (Measured in Coulomb)
Voltage - Voltage, electric potential difference, electric pressure, or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points. (Measured in Volt)
STEP 1: Convert Input(s) to Base Unit
dielectric constant: 1 --> No Conversion Required
Charge: 1 Coulomb --> 1 Coulomb No Conversion Required
Voltage: 120 Volt --> 120 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = k*q/V --> 1*1/120
Evaluating ... ...
C = 0.00833333333333333
STEP 3: Convert Result to Output's Unit
0.00833333333333333 Farad --> No Conversion Required
FINAL ANSWER
0.00833333333333333 Farad <-- Capacitance
(Calculation completed in 00.016 seconds)
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11 Other formulas that you can solve using the same Inputs

Capacitance of a Spherical Capacitor
capacitance = dielectric constant*radius*radius/([Coulomb]*(radius-radius)) Go
Capacitance of a Cylindrical Capacitor
capacitance = dielectric constant*length of cylinder/(2*[Coulomb]*(outer radius-inner radius)) Go
Capacitance of a Parallel Plate Capacitor
parallel_plate_capacitance = dielectric constant*[Permitivity-vacuum]*Area/radius Go
Back EMF
electromotive_force = Voltage-(Armature Current*Armature resistance) Go
Velocity of an electron due to voltage
velocity_dueto_voltage = ((2*[Charge-e]*Voltage)/[Mass-e])^1/2 Go
Force between parallel plate capacitors
force = Charge^2/(2*parallel plate capacitance*radius) Go
Electrostatic Potential due to point charge
electrostatic_potential = [Coulomb]*Charge/radius Go
Electric Field due to point charge
electric_field = [Coulomb]*Charge/(radius^2) Go
Energy Stored in Capacitor when Capacitance and Voltage are Given
electrostatic_potential_energy = 1/2*Capacitance*Voltage^2 Go
Energy Stored in Capacitor when Charge and Capacitance are Given
electrostatic_potential_energy = Charge^2/(2*Capacitance) Go
Energy Stored in Capacitor when Charge and Voltage are Given
electrostatic_potential_energy = 1/2*Charge*Voltage Go

11 Other formulas that calculate the same Output

Capacitance of a Spherical Capacitor
capacitance = dielectric constant*radius*radius/([Coulomb]*(radius-radius)) Go
Capacitance of a Cylindrical Capacitor
capacitance = dielectric constant*length of cylinder/(2*[Coulomb]*(outer radius-inner radius)) Go
Capacitance For The Parallel RLC Circuit When Q-Factor Is Given
capacitance = (Inductance*Quantity Factor*Quantity Factor)/(Resistance*Resistance) Go
Capacitance For The Series RLC Circuit When Q-Factor Is Given
capacitance = Inductance/(Quantity Factor*Quantity Factor*Resistance*Resistance) Go
Capacitor with dielectric
capacitance = Permittivity*Constant a*Area of plates/Distance between deflecting plates Go
Equivalent Capacitance for Capacitors in Series
capacitance = (Capacitance*Capacitance)/(Capacitance+Capacitance) Go
Capacitance for Parallel Plate Capacitors with Dielectric Between Them
capacitance = Permittivity*Area of plates/Distance between deflecting plates Go
Total capacitance between gate and channel of MOSFETs
capacitance = Oxide Capacitance*Width of the Channel*Length of the Channel Go
Capacitance When The Time Constant And Frequency Is Given
capacitance = 1/(2*Time constant*pi*frequency) Go
Capacitance When The Time Constant Is Given
capacitance = Time constant/Resistance Go
Equivalent Capacitance for Capacitors in Parallel
capacitance = Capacitance+Capacitance Go

Capacitance Formula

capacitance = dielectric constant*Charge/Voltage
C = k*q/V

What is Capacitance?

Capacitance, the property of an electric conductor, or set of conductors, that is measured by the amount of separated electric charge that can be stored on it per unit change in electrical potential. The SI unit of capacitance is the farad (symbol: F), named after the English physicist Michael Faraday. A 1-farad capacitor, when charged with 1 coulomb of electrical charge, has a potential difference of 1 volt between its plates.

How to Calculate Capacitance?

Capacitance calculator uses capacitance = dielectric constant*Charge/Voltage to calculate the Capacitance, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. Capacitance and is denoted by C symbol.

How to calculate Capacitance using this online calculator? To use this online calculator for Capacitance, enter dielectric constant (k), Charge (q) and Voltage (V) and hit the calculate button. Here is how the Capacitance calculation can be explained with given input values -> 0.008333 = 1*1/120.

FAQ

What is Capacitance?
Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential and is represented as C = k*q/V or capacitance = dielectric constant*Charge/Voltage. The dielectric constant of a material is the ratio of its permittivity of the material to the permittivity of vacuum. The dielectric constant is therefore also known as the relative permittivity of the material. Since the dielectric constant is just a ratio of two similar quantities, it is dimensionless, A charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter and Voltage, electric potential difference, electric pressure, or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.
How to calculate Capacitance?
Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential is calculated using capacitance = dielectric constant*Charge/Voltage. To calculate Capacitance, you need dielectric constant (k), Charge (q) and Voltage (V). With our tool, you need to enter the respective value for dielectric constant, Charge and Voltage 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, Charge and Voltage. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • capacitance = dielectric constant*radius*radius/([Coulomb]*(radius-radius))
  • capacitance = dielectric constant*length of cylinder/(2*[Coulomb]*(outer radius-inner radius))
  • capacitance = Capacitance+Capacitance
  • capacitance = (Capacitance*Capacitance)/(Capacitance+Capacitance)
  • capacitance = Time constant/Resistance
  • capacitance = 1/(2*Time constant*pi*frequency)
  • capacitance = Inductance/(Quantity Factor*Quantity Factor*Resistance*Resistance)
  • capacitance = (Inductance*Quantity Factor*Quantity Factor)/(Resistance*Resistance)
  • capacitance = Permittivity*Constant a*Area of plates/Distance between deflecting plates
  • capacitance = Permittivity*Area of plates/Distance between deflecting plates
  • capacitance = Oxide Capacitance*Width of the Channel*Length of the Channel
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