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.

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