Capacitor with Dielectric Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates
C = (ε*εr*A)/s
This formula uses 5 Variables
Variables Used
Capacitance - (Measured in Farad) - Capacitance is the ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics.
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 <-- Capacitance
(Calculation completed in 00.020 seconds)

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

Capacitor with Dielectric Formula

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

what is Dielectric Capacitor ?

A dielectric capacitor is a capacitor that includes a dielectric material between its conductive plates. The dielectric material increases the capacitor's ability to store charge by reducing the electric field and allowing more charge to be stored for a given voltage.






How to Calculate Capacitor with Dielectric?

Capacitor with Dielectric calculator uses Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates to calculate the Capacitance, Capacitor with Dielectric formula is defined as a measure of the ability of a capacitor to store electric charge when a dielectric material is placed between its plates, which affects the capacitance value depending on the permittivity of the dielectric and the plate area. 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 (A) & Distance between Deflecting Plates (s) and hit the calculate button. Here is how the Capacitor with Dielectric calculation can be explained with given input values -> 940.7666 = (0.0001*4.5*0.012)/0.000287.

FAQ

What is Capacitor with Dielectric?
Capacitor with Dielectric formula is defined as a measure of the ability of a capacitor to store electric charge when a dielectric material is placed between its plates, which affects the capacitance value depending on the permittivity of the dielectric and the plate area and is represented as C = (ε*εr*A)/s or 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 Capacitor with Dielectric?
Capacitor with Dielectric formula is defined as a measure of the ability of a capacitor to store electric charge when a dielectric material is placed between its plates, which affects the capacitance value depending on the permittivity of the dielectric and the plate area is calculated using Capacitance = (Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates. To calculate Capacitor with Dielectric, 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 Capacitance?
In this formula, Capacitance uses Permittivity, Relative Permittivity, Area & Distance between Deflecting Plates. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Capacitance = Relative Permittivity*Charge/Voltage
  • Capacitance = (Relative Permittivity*Radius of Sphere*Radius of Shell)/([Coulomb]*(Radius of Shell-Radius of Sphere))
  • Capacitance = (Relative Permittivity*Length of Cylinder)/(2*[Coulomb]*(Outer Radius of Cylinder-Inner Radius of Cylinder))
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