dielectric constant

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 (ε_o), Dielectric Constant (ε_r) and Electric Field Intensity (E).

The formula for calculating polarization of dielectric medium:

P = ε_o(ε_r – 1)E

Where:

P = Polarization of a Dielectric Medium
ε_o = Permittivity of Vacuum
ε_r = 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;

ε_o = Permittivity of Vacuum = 12
ε_r = Dielectric Constant = 6
E = Electric Field Intensity = 4

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

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

The dielectric constant is illustrated by the image below.

To compute for dielectric constant, two essential parameters are needed and these parameters are Permittivity of Dielectric Material (ε) and Permittivity of Vacuum (ε_o).

The formula for calculating the dielectric constant:

ε_r = ^ε/_εo

Where:

ε_r = Dielectric Constant
ε = Permittivity of Dielectric Material
ε_o = Permittivity of Vacuum

Given an example;
Find the dielectric constant when the permittivity of dielectric material is 36 and the permittivity of vacuum is 9.

This implies that;

ε = Permittivity of Dielectric Material = 36
ε_o = Permittivity of Vacuum = 9

ε_r = ^ε / _ε_o
ε_r = ³⁶ / ₉ε_r = 4

Therefore, the dielectric constant is 4.

Calculating the Permittivity of Dielectric Material when the Dielectric Constant and the Permittivity of Vacuum is Given.

ε = ε_r (ε_o)

Where:

ε = Permittivity of Dielectric Material
ε_r = Dielectric Constant
ε_o = Permittivity of Vacuum

Let’s solve an example;
Find the permittivity of dielectric material when the dielectric constant is 14 and the permittivity of vacuum is 17.

This implies that;

ε_r = Dielectric Constant = 14
ε_o = Permittivity of Vacuum = 17

ε = ε_r (ε_o)
ε = 14 (17)
ε = 238

Therefore, the permittivity of dielectric material is 238.

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

How to Calculate and Solve for Dielectric Constant | Electrical Properties