How to Calculate and Solve for Dielectric Displacement | Electrical Properties

The image of dielectric displacement is shown above.

To compute for dielectric displacement, two essential parameters are needed and these parameters are Permittivity of Vacuum (εo) and Electric Field Intensity (E).

The formula for calculating the dielectric displacement;

Do = εoE

Where:

Do = Dielectric Displacement
εo = Permittivity of Vacuum
E = Electric Field Intensity

Given an example;
Find the dielectric displacement when the permittivity of vacuum is 28 and the electric field intensity is 4.

This implies that;

εo = Permittivity of Vacuum = 28
E = Electric Field Intensity = 4

Do = εoE
Do = (28)(4)
Do = 112

Therefore, the dielectric displacement is 112 C/m².

Calculating the Permittivity of Vacuum when the Dielectric Displacement and the Electric Field Intensity is Given.

εo = DoE

Where:

εo = Permittivity of Vacuum
Do = Dielectric Displacement
E = Electric Field Intensity

Let’s solve an example;
Find the permittivity of vacuum when the dielectric displacement is 4 and the electric field intensity is 6.

This implies that;

Do = Dielectric Displacement = 4
E = Electric Field Intensity = 6

εo = DoE
εo = 4(6)
εo = 24

Therefore, the permittivity of vacuum is 24.

Calculating the Electric Field Intensity when the Dielectric Displacement and the Permittivity of Vacuum is Given.

E = εo / Do

Where:

E = Electric Field Intensity
Do = Dielectric Displacement
εo = Permittivity of Vacuum

Let’s solve an example;
Find the electric field intensity when the dielectric displacement is 12 and the permittivity of vacuum is 96.

This implies that;

Do = Dielectric Displacement = 12
εo = Permittivity of Vacuum = 96

E = εo / Do
E = 96 / 12
E = 8

Therefore, the electric field intensity is 8.

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

To get the answer and workings of the dielectric displacement 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
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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 Displacement under Electrical Properities

The screenshot below displays the page or activity to enter your values, to get the answer for the distance displacement according to the respective parameter which is the Permittivity of Vacuum (εo) and Electric Field Intensity (E).

Now, enter the values appropriately and accordingly for the parameters as required by the Permittivity of Vacuum (εois 28 and Electric Field Intensity (E) is 4.

Finally, Click on Calculate

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

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