Engineering Physics II - Ch. 3.1



Q.1     Write short notes on dielectric materials.
Ans.    The dielectric materials are generally insulators. However, there is slight difference between dielectric materials and insulators. In practice, dielectric materials conduct electric current to a negligible extent with the range of their resistivity from 1010 to 1020 Wm. The insulators however offer no passage for the flow of current through them. Examples of insulating materials are glass, ceramics, polymers porcelain, wood, paper etc. The concept of dielectric materials was introduced for the first time by Farady. He discovered that the capacitance of a parallel plate capacitor is increased when it is filled by a dielectric material. The capacitance so increased is k times the capacitance without any dielectric. The factor k is then the property of dielectric and called the dielectric constant.

Q.2     What is dielectric constant.
Ans.    Static Dielectric Constant:
            Permittivity or dielectric constant is defined as the ratio of electric flux density D and the electric field intensity E. i.e.,
           

Permittivity of a dielectric material is taken as the product of permittivity of free space Î0 and relative permittivity Îr i.e.,
Î = Î0Îr
In S.I. units, Î0 = 8.854 ´ 10-12 F/m. The relative permittivity Îr is also known as dielectric constant. The dielectric constant of air is 1.006 and generally taken as unity. For any other dielectric material, the value of dielectric constant (Îr) is more than 1. Dielectric constant, being the ratio of Î and Î0, is a dimensionless quantity.

Q.3     What do you mean by polarization of a substance ? Write different mechanism of polarization in a dielectric.                                                                    (AKTU. 2008-09)
Related Questions -
Q.            Explain briefly the different types of polarization in dielectrics.                                                                                                                                                (AKTU. 2010 - 11)
Q.            What is molecular polarisability? Explain electronic polarisability.
                                                                                                                    (AKTU. 2012 - 13)
Ans.        Polarization of a Substance: -
                When a dielectric material is subjected to an electric field, it gets polarised i.e., the positive and negative charges are induced in the dielectric and are of opposite charge to that of applied electric field. It is well known that the amount of positive and negative charges on a molecule are equal, the distribution of the two kinds of charges are such that the centres of positive and negative charge distributions are at points separated by a distance of molecular dimensions. This forms an electric dipole given by m = ql.
Different Mechanism of Polarization: -
(1) Electronic Polarization: -
            The electronic polarization occurs due to the displacement of positive and negative charges in a dielectric material when an external electric field is applied. Fig (a) shows the charge distribution of an atom in the absence of the field while fig. (b) shows the charge distribution in presence of applied electric field. This process occurs throughout the material and the material as a whole is polarized.


The induced dipole moment (Pe) is proportional to field strength (E), i.e.,
            Pe µ E
If there are n atoms in the dielectric, then
            Pe µ nE or Pe = ae nE
where ae is electronic polarizability. The electronic polarizibility is independent of temperature.
(2) Ionic Polarization: -
            Ionic polarization occurs
only in those dielectric materials which possess ionic bonds such as NaCl. When such a material is subjected to an external electric field, the adjacent ions of opposite signs undergo displacement as shown in fig. (b).


            The displacement causes an increase or decrease in the distance separation between the atoms depending upon the location of ion pair. This leads to a net dipole moment. This polarization is also independent of temperature.
(3) Orientational Polarization: -
                Polar dielectrics exhibit orientational or dipolar polarizability. Even in