Thickness of Dielectric Calculator

✖Relative Permittivity is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.ⓘ Relative Permittivity [ε_r]			+10% -10%
✖Surface Area is the effective surface area of the electrodes.ⓘ Surface Area [A]			+10% -10%
✖Capacitance Of Dielectric is the amount of charge that can be stored at a given voltage by a dielectric.ⓘ Capacitance of Dielectric [C_d]			+10% -10%

✖Thickness of Dielectric is the thickness of the used dielectric.ⓘ Thickness of Dielectric [t_d]

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Formula

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Thickness of Dielectric

Formula

`"t"_{"d"} = ("ε"_{"r"}*8.85*10^-12*"A")/(4*pi*"C"_{"d"})`

Example

`"41.06846μm"=("3.14"*8.85*10^-12*"13m²")/(4*pi*"0.70μF")`

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Thickness of Dielectric Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric)
t_d = (ε_r*8.85*10^-12*A)/(4*pi*C_d)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thickness of Dielectric - (Measured in Meter) - Thickness of Dielectric is the thickness of the used dielectric.
Relative Permittivity - Relative Permittivity is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.
Surface Area - (Measured in Square Meter) - Surface Area is the effective surface area of the electrodes.
Capacitance of Dielectric - (Measured in Farad) - Capacitance Of Dielectric is the amount of charge that can be stored at a given voltage by a dielectric.

STEP 1: Convert Input(s) to Base Unit

Relative Permittivity: 3.14 --> No Conversion Required
Surface Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Capacitance of Dielectric: 0.7 Microfarad --> 7E-07 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_d = (ε_r*8.85*10^-12*A)/(4*pi*C_d) --> (3.14*8.85*10^-12*13)/(4*pi*7E-07)

Evaluating ... ...

t_d = 4.10684551975349E-05

STEP 3: Convert Result to Output's Unit

4.10684551975349E-05 Meter -->41.0684551975349 Micrometer (Check conversion here)

FINAL ANSWER

41.0684551975349 ≈ 41.06846 Micrometer <-- Thickness of Dielectric

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< 6 Dielectric Heating Calculators

Thickness of Dielectric

Go Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric)

Capacitance Dielectric

Go Capacitance of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Thickness of Dielectric)

Dielectric Loss

Go Power Loss = Voltage^2/(2*Capacitive Reactance)*sin(2*Phase Difference)

Power Loss Density

Go Power Density = Frequency*Complex Relative Permittivity*8.85418782*10^-12*Electric Field Strength^2

Net Resistance

Go Resistance = Capacitive Reactance/Loss Tangent

Loss Tangent

Go Loss Tangent = Capacitive Reactance/Resistance

Thickness of Dielectric Formula

Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric)
t_d = (ε_r*8.85*10^-12*A)/(4*pi*C_d)

What are the advantages of dielectric heating?

The advantages of dielectric heat for drying, cooking, thawing, and melting of foods are that heat generation is rapid and occurs throughout the body of the food material. An additional advantage for drying is that water is heated more quickly than the other components of the food.

How to Calculate Thickness of Dielectric?

Thickness of Dielectric calculator uses Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric) to calculate the Thickness of Dielectric, The Thickness of Dielectric formula is defined as the thickness of dielectric used. Thickness of Dielectric is denoted by t_d symbol.

How to calculate Thickness of Dielectric using this online calculator? To use this online calculator for Thickness of Dielectric, enter Relative Permittivity (ε_r), Surface Area (A) & Capacitance of Dielectric (C_d) and hit the calculate button. Here is how the Thickness of Dielectric calculation can be explained with given input values -> 4.1E+7 = (3.14*8.85*10^-12*13)/(4*pi*7E-07).

FAQ

What is Thickness of Dielectric?

The Thickness of Dielectric formula is defined as the thickness of dielectric used and is represented as t_d = (ε_r*8.85*10^-12*A)/(4*pi*C_d) or Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric). Relative Permittivity is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum, Surface Area is the effective surface area of the electrodes & Capacitance Of Dielectric is the amount of charge that can be stored at a given voltage by a dielectric.

How to calculate Thickness of Dielectric?

The Thickness of Dielectric formula is defined as the thickness of dielectric used is calculated using Thickness of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Capacitance of Dielectric). To calculate Thickness of Dielectric, you need Relative Permittivity (ε_r), Surface Area (A) & Capacitance of Dielectric (C_d). With our tool, you need to enter the respective value for Relative Permittivity, Surface Area & Capacitance of Dielectric and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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