Question

Find the polarization P in a dielectric material with E, =2.8. If D = 3.0 X 10 Cm?.

Assuming that the material is homogeneous and is isotropic, Note: X. = g, - 1

Answer 1

To find the polarization P in a dielectric material, we can use the equation P = ε₀χE, where P is the polarization, ε₀ is the permittivity of free space, χ is the electric susceptibility of the material, and E is the electric field strength.

Given:

E = 2.8

D = 3.0 x 10 Cm

To find the polarization P, we need to determine the electric susceptibility χ.

The electric susceptibility χ is related to the electric displacement D by the equation D = ε₀E + P.

We can rearrange this equation to solve for P:

P = D - ε₀E

Substituting the given values, we have:

P = (3.0 x 10 Cm) - (8.85 x 10^-12 C^2/Nm^2)(2.8)

Now we can calculate the value of P:

P = 3.0 x 10 Cm - 24.78 x 10^-12 Cm^2/N

Simplifying:

P = 3.0 x 10 Cm - 2.478 x 10^-11 Cm

P = -2.148 x 10^-11 Cm

Therefore, the polarization P in the dielectric material is approximately -2.148 x 10^-11 Cm.