Engineering

How to Calculate and Solve for Dielectric Constant | Electrical Properties

Last Updated on August 12, 2022

The dielectric constant is illustrated by the image below.

To compute for dielectric constant, two essential parameters are needed and these parameters are Permittivity of Dielectric Material (ε) and Permittivity of Vacuum (εo).

The formula for calculating the dielectric constant:

εr = ε/εo

Where:

εr = Dielectric Constant
ε = Permittivity of Dielectric Material
εo = Permittivity of Vacuum

Given an example;
Find the dielectric constant when the permittivity of dielectric material is 36 and the permittivity of vacuum is 9.

This implies that;

ε = Permittivity of Dielectric Material = 36
εo = Permittivity of Vacuum = 9

εr = ε / εo
εr = 36 / 9
εr = 4

Therefore, the dielectric constant is 4.

Calculating the Permittivity of Dielectric Material when the Dielectric Constant and the Permittivity of Vacuum is Given.

ε = εro)

Where:

ε = Permittivity of Dielectric Material
εr = Dielectric Constant
εo = Permittivity of Vacuum

Let’s solve an example;
Find the permittivity of dielectric material when the dielectric constant is 14 and the permittivity of vacuum is 17.

This implies that;

εr = Dielectric Constant = 14
εo = Permittivity of Vacuum = 17

ε = εro)
ε = 14 (17)
ε = 238

Therefore, the permittivity of dielectric material is 238.

Calculating the Permittivity of Vacuum when the Dielectric Constant and the Permittivity of Dielectric Material is Given.

εo = ε / εr

Where:

εo = Permittivity of Vacuum
εr = Dielectric Constant
ε = Permittivity of Dielectric Material

Let’s solve an example;
Find the permittivity of vacuum when the dielectric constant is 24 and the permittivity of dielectric material is 48.

This implies that;

εr = Dielectric Constant = 24
ε = Permittivity of Dielectric Material = 48

εo = ε / εr
εo = 48 / 24
εo = 2

Therefore, the permittivity of vacuum is 2.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the dielectric constant.

To get the answer and workings of the dielectric constant using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Electrical Properities under Materials and Metallurgical

Now, Click on Dielectric Constant under Electrical Properities

The screenshot below displays the page or activity to enter your values, to get the answer for the dielectric constant according to the respective parameter which is the Permittivity of Dielectric Material (ε) and Permittivity of Vacuum (εo).

Now, enter the values appropriately and accordingly for the parameters as required by the Permittivity of Dielectric Material (ε) is 36 and Permittivity of Vacuum (εo) is 9.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the dielectric constant and presents the formula, workings and steps too.

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