Capacitance for Parallel Plate Capacitors with Dielectric between them Solution

STEP 0: Pre-Calculation Summary
Formula Used
Parallel Plate Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates
C = (ε*εr*A)/s
This formula uses 5 Variables
Variables Used
Parallel Plate Capacitance - (Measured in Farad) - Parallel Plate Capacitance is the ability of a system of two parallel plates to store electric charge, commonly used in electronic devices and circuits.
Permittivity - Permittivity is the ability of a material to store electric charge and is a measure of how much electric flux is produced per unit of electric field.
Relative Permittivity - Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics.
Area - (Measured in Square Meter) - Area is the measure of the size of a two-dimensional surface, used to calculate the electrostatic potential energy of a charged object.
Distance between Deflecting Plates - (Measured in Meter) - Distance between Deflecting Plates is the separation between two plates in an electrostatic setup, used to measure the deflection of charged particles.
STEP 1: Convert Input(s) to Base Unit
Permittivity: 0.0001 --> No Conversion Required
Relative Permittivity: 4.5 --> No Conversion Required
Area: 0.012 Square Meter --> 0.012 Square Meter No Conversion Required
Distance between Deflecting Plates: 0.000287 Meter --> 0.000287 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (ε*εr*A)/s --> (0.0001*4.5*0.012)/0.000287
Evaluating ... ...
C = 0.018815331010453
STEP 3: Convert Result to Output's Unit
0.018815331010453 Farad --> No Conversion Required
FINAL ANSWER
0.018815331010453 0.018815 Farad <-- Parallel Plate 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 for Parallel Plate Capacitors with Dielectric between them Formula

​LaTeX ​Go
Parallel Plate Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates
C = (ε*εr*A)/s

what is a capacitor?


A capacitor is an electronic component that stores electrical energy in an electric field between two conductive plates separated by an insulating material. It can release this stored energy when needed. Capacitors are used in various applications, such as filtering, energy storage, and signal processing.

How to Calculate Capacitance for Parallel Plate Capacitors with Dielectric between them?

Capacitance for Parallel Plate Capacitors with Dielectric between them calculator uses Parallel Plate Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates to calculate the Parallel Plate Capacitance, Capacitance for Parallel Plate Capacitors with Dielectric between them formula is defined as a measure of the ability of a parallel plate capacitor to store electric charge when a dielectric material is placed between the plates, which depends on the permittivity of the dielectric, the area of the plates, and the distance between them. Parallel Plate Capacitance is denoted by C symbol.

How to calculate Capacitance for Parallel Plate Capacitors with Dielectric between them using this online calculator? To use this online calculator for Capacitance for Parallel Plate Capacitors with Dielectric between them, enter Permittivity (ε), Relative Permittivity r), Area (A) & Distance between Deflecting Plates (s) and hit the calculate button. Here is how the Capacitance for Parallel Plate Capacitors with Dielectric between them calculation can be explained with given input values -> 940.7666 = (0.0001*4.5*0.012)/0.000287.

FAQ

What is Capacitance for Parallel Plate Capacitors with Dielectric between them?
Capacitance for Parallel Plate Capacitors with Dielectric between them formula is defined as a measure of the ability of a parallel plate capacitor to store electric charge when a dielectric material is placed between the plates, which depends on the permittivity of the dielectric, the area of the plates, and the distance between them and is represented as C = (ε*εr*A)/s or Parallel Plate Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates. Permittivity is the ability of a material to store electric charge and is a measure of how much electric flux is produced per unit of electric field, Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics, Area is the measure of the size of a two-dimensional surface, used to calculate the electrostatic potential energy of a charged object & Distance between Deflecting Plates is the separation between two plates in an electrostatic setup, used to measure the deflection of charged particles.
How to calculate Capacitance for Parallel Plate Capacitors with Dielectric between them?
Capacitance for Parallel Plate Capacitors with Dielectric between them formula is defined as a measure of the ability of a parallel plate capacitor to store electric charge when a dielectric material is placed between the plates, which depends on the permittivity of the dielectric, the area of the plates, and the distance between them is calculated using Parallel Plate Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates. To calculate Capacitance for Parallel Plate Capacitors with Dielectric between them, you need Permittivity (ε), Relative Permittivity r), Area (A) & Distance between Deflecting Plates (s). With our tool, you need to enter the respective value for Permittivity, Relative Permittivity, Area & 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 Parallel Plate Capacitance?
In this formula, Parallel Plate Capacitance uses Permittivity, Relative Permittivity, Area & Distance between Deflecting Plates. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Parallel Plate Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Area of Plates)/Distance between Deflecting Plates
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