How to Calculate and Solve for Polarization of Dielectric Medium | Electrical Properties

The image of polarization of dielectric medium is shown below.

To compute for polarization of dielectric medium, three essential parameters are needed and these parameters are Permittivity of Vacuum (εo), Dielectric Constant (εr) and Electric Field Intensity (E).

The formula for calculating polarization of dielectric medium:

P = εor – 1)E

Where:

P = Polarization of a Dielectric Medium
εo = Permittivity of Vacuum
εr = Dielectric Constant
E = Electric Field Intensity

Let’s solve an example;
Find the polarization of dielectric medium when the permittivity of vacuum is 12, the dielectric constant is 6 and the electric field intensity is 4.

This implies that;

εo = Permittivity of Vacuum = 12
εr = Dielectric Constant = 6
E = Electric Field Intensity = 4

P = εor – 1)E
P = (12)(6 – 1)(4)
P = (12)(5)(4)
P = 240

Therefore, the polarization of dielectric medium is 240 C/m².

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.

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.