Answer to Question #194460 in Physics for richard

Question

In a dielectric material with ∈_r=3.6 , D= 285 nC/m^2. Find the magnitudes of E, P, and electric susceptibility

Answer 1

As we know,

$$D=\epsilon_0\epsilon_rE,\\\space\\ E=\frac{D}{\epsilon_0\epsilon_r}=8941\text{ V/m}.$$

On the other hand, we know that

$$D=\epsilon_0E+P,\\ P=D-\epsilon_0E=205.8·10^{-9}\text{ C/m}^2.$$

Find electric susceptibility:

$$P=\epsilon_0\chi_eE,\\\space\\ \chi_e=\frac{P}{\epsilon_0E}=2.6.$$