Question

What is the electric susceptibility of dielectric medium Shaala?

Answer 1

It looks like you're asking about the electric susceptibility of a dielectric medium, but there seems to be a bit of confusion with the term "Shaala." If "Shaala" refers to something specific, let me know, and I'll clarify that!

Electric Susceptibility (χₑ) of a Dielectric Medium:

In simple terms, electric susceptibility (χₑ) is a measure of how much a dielectric material will become polarized when exposed to an electric field. It tells us how easily the material can be polarized by the electric field.

When you apply an electric field to a dielectric material (like rubber, glass, or air), the positive and negative charges inside the material slightly shift, creating an induced dipole. The extent to which this polarization occurs depends on the material's electric susceptibility.

Mathematically, the relationship between the electric field E and the polarization P (the dipole moment per unit volume) is given by:

\[
P = \chi_e \epsilon_0 E
\]

where:

1. \( P \) is the polarization,
   

1. \( \chi_e \) is the electric susceptibility,
   

1. \( \epsilon_0 \) is the permittivity of free space (a constant),
   

1. \( E \) is the applied electric field.
   

Key Points:

1. Positive susceptibility means the material becomes polarized in the direction of the applied electric field.
   

1. High susceptibility means the material is easily polarized by the field (like water or air).
   

1. Low susceptibility means the material resists polarization (like metals).
   

The electric susceptibility is also related to the relative permittivity (or dielectric constant) \( \varepsilon_r \) of the material:

\[
\varepsilon_r = 1 + \chi_e
\]

So, if you know the relative permittivity of a material, you can find its susceptibility.

I hope that helps! Let me know if you need more details or have a different question in mind!