Question

Choose the correct relation between electric susceptibility (xc) and dielectric constant(K).

1) X = K+ 1
2) X = K- 1
3) Xc = Eo (K-1)
4) Both (2) & (3)​

Answer 1

Answer:

2)X=K-1

Explanation:

Electric susceptibility ($x_{c}$)

Dielectric constant(K).

Materials in which the induced polarization is proportional to the electric field are called linear dielectrics. The constant is called the dielectric constant K of the material. The presence of the dielectric material therefore reduces the electric field by a factor K.

    For linear dielectric $P=$∈ο$x_{c} *E$

                    and dielectric D=∈ο*E+P                 (D=∈F)

                           D=∈ο*E+∈ο$x_{c} *E$

                           ∈F= ∈ο*E+∈ο$x_{c} *E$

                              ∈=∈ο+∈ο$x_{c}$                             (K=    ∈ /  ∈ο)

                               ∈ /  ∈ο=1+$x_{c}$

                                K=1+$x_{c}$

                                $x_{c}$=K-1

                     Where $x_{c}$ is electric suspatability

                      E= electric field

                       D= di electric

                        ∈ and   ∈ο are permitivity

The project code is #SPJ3