Capacitor with Dielectric Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates
C = (ε*εr*Aplate)/d
This formula uses 5 Variables
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.
Permittivity - Permittivity is the ability of a material to store electrical potential energy.
Relative Permittivity - Relative Permittivity is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.
Area of Plates - (Measured in Square Meter) - Area of plates or the n-type or p-type region is the area where a particular amount of electric charges are stored.
Distance between Deflecting Plates - (Measured in Meter) - Distance between Deflecting Plates in Cathode ray tube is used to measure the electrostatic deflection as well as its sensitivity.
STEP 1: Convert Input(s) to Base Unit
Permittivity: 5 --> No Conversion Required
Relative Permittivity: 3.14 --> No Conversion Required
Area of Plates: 400 Square Millimeter --> 0.0004 Square Meter (Check conversion here)
Distance between Deflecting Plates: 250 Millimeter --> 0.25 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (ε*εr*Aplate)/d --> (5*3.14*0.0004)/0.25
Evaluating ... ...
C = 0.02512
STEP 3: Convert Result to Output's Unit
0.02512 Farad --> No Conversion Required
FINAL ANSWER
0.02512 Farad <-- Capacitance
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Capacitor with Dielectric Formula

Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates
C = (ε*εr*Aplate)/d

what is a capacitor ?

A capacitor is a device that stores electrical energy in an electric field. It is a passive electronic component with two terminals. The effect of a capacitor is known as capacitance.

How to Calculate Capacitor with Dielectric?

Capacitor with Dielectric calculator uses Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates to calculate the Capacitance, The capacitor with dielectric is the electrically insulating material between the metallic plates of a capacitor. The polarization of the dielectric by the applied electric field increases the capacitor's surface charge for the given electric field strength. Capacitance is denoted by C symbol.

How to calculate Capacitor with Dielectric using this online calculator? To use this online calculator for Capacitor with Dielectric, enter Permittivity (ε), Relative Permittivity r), Area of Plates (Aplate) & Distance between Deflecting Plates (d) and hit the calculate button. Here is how the Capacitor with Dielectric calculation can be explained with given input values -> 0.02512 = (5*3.14*0.0004)/0.25.

FAQ

What is Capacitor with Dielectric?
The capacitor with dielectric is the electrically insulating material between the metallic plates of a capacitor. The polarization of the dielectric by the applied electric field increases the capacitor's surface charge for the given electric field strength and is represented as C = (ε*εr*Aplate)/d or Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates. Permittivity is the ability of a material to store electrical potential energy, Relative Permittivity is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum, Area of plates or the n-type or p-type region is the area where a particular amount of electric charges are stored & Distance between Deflecting Plates in Cathode ray tube is used to measure the electrostatic deflection as well as its sensitivity.
How to calculate Capacitor with Dielectric?
The capacitor with dielectric is the electrically insulating material between the metallic plates of a capacitor. The polarization of the dielectric by the applied electric field increases the capacitor's surface charge for the given electric field strength is calculated using Capacitance = (Permittivity*Relative Permittivity*Area of Plates)/Distance between Deflecting Plates. To calculate Capacitor with Dielectric, you need Permittivity (ε), Relative Permittivity r), Area of Plates (Aplate) & Distance between Deflecting Plates (d). With our tool, you need to enter the respective value for Permittivity, Relative Permittivity, Area of Plates & Distance between Deflecting Plates 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 Permittivity, Relative Permittivity, Area of Plates & Distance between Deflecting Plates. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Capacitance = Dielectric Constant*Charge/Voltage
  • Capacitance = (Dielectric Constant*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
  • Capacitance = (Dielectric Constant*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
  • Capacitance = (Permittivity*Dielectric Constant*Area of Plates)/Distance between Deflecting Plates
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