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

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.

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