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# How to Calculate and Solve for Dielectric Displacement in Relation to Polarization | Electrical Properties

Last Updated on August 12, 2022

The image of dielectric displacement in relation to polarization is illustrated below.

To compute for dielectric displacement in relation to polarization, three essential parameters are needed and these parameters are Permittivity of Vacuum (εo), Electric Field Intensity (E) and Polarization (P).

The formula for calculating dielectric displacement in relation to polarization:

D = εoE + P

Where:

D = Dielectric Displacement in Relation to Polarization
εo = Permittivity of Vacuum
E = Electric Field Intensity
P = Polarization

Let’s solve an example;
Find the dielectric displacement in relation to polarization when the permittivity of vacuum is 8, the electric field intensity is 6 and the polarization is 2.

This implies that;

εo = Permittivity of Vacuum = 8
E = Electric Field Intensity = 6
P = Polarization = 2

D = εoE + P
D = (8)(6) + 2
D = (48) + 2
D = 50

Therefore, the dielectric displacement in relation to polarization is 50 C/m².

Calculating the Permittivity of Vacuum when the Dielectric Displacement in Relation to Polarization, the Electric Field Intensity and the Polarization is Given.

εo = D – P / E

Where:

εo = Permittivity of Vacuum
D = Dielectric Displacement in relation to polarization
E = Electric Field Intensity
P = Polarization

Let’s solve an example;
Find the permittivity of vacuum when the dielectric displacement in relation to polarization is 22, the electric field intensity is 6 and the polarization is 4.

This implies that;

D = Dielectric Displacement in relation to polarization = 22
E = Electric Field Intensity = 6
P = Polarization = 4

εo = D – P / E
εo = 22 – 4 / 6
εo = 18 / 6
εo = 3

Therefore, the permittivity of vacuum is 3.

Calculating the Electric Field Intensity when the Dielectric Displacement in Relation to Polarization, the Polarization and the Permittivity of Vacuum is Given.

E = D – P / εo

Where:

E = Electric Field Intensity
D = Dielectric Displacement in relation to polarization
εo = Permittivity of Vacuum
p = Polarization

Let’s solve an example;
Find the electric field intensity when the dielectric displacement in relation to polarization is 52, the polarization is 7 and the permittivity of vacuum is 9.

This implies that;

D = Dielectric Displacement in relation to polarization = 52
εo = Permittivity of Vacuum = 9
P = Polarization = 7

E = D – P / εo
E = 52 – 7 / 9
E = 45 / 9
E = 5

Therefore, the electric field intensity is 5.

Calulating the Polarization when the Dielectric Displacement in Relation to Polarization, the Permittivity of Vacuum and the Polarization is Given.

P = D – εoE

Where:

p = Polarization
E = Electric Field Intensity
D = Dielectric Displacement in relation to polarization
εo = Permittivity of Vacuum

Let’s solve an example;
Find the polarization when the electric field intensity is 2, the permittivity of vacuum is 9 and the dielectric displacement in relation to polarization is 48.

This implies that;

E = Electric Field Intensity = 2
D = Dielectric Displacement in relation to polarization = 48
εo = Permittivity of Vacuum = 9

P = D – εoE
P = 48 – 9(2)
P = 48 – 18
P = 30

Therefore, the polarization is 30.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the dielectric displacement in relation to polarization.

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

You can get this app via any of these means:

You can also try the demo version via https://www.nickzom.org/calculator

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 in Relation to Polarization under Electrical Properities

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

Now, enter the values appropriately and accordingly for the parameters as required by the Permittivity of Vacuum (εo) is 8, Electric Field Intensity (E) is 6 and Polarization (P) is 2.

Finally, Click on Calculate

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