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Chapter V Dielectric Study of ……<br />

-<br />

displacement current. The electric displacement can be separated into the<br />

vacuum contribution and the contribution from the material as,<br />

D = 0 E + P = 0 E + 0 E = 0 E (1 +) (5.14)<br />

Where, P is the polarization of the medium and is its susceptibility. The<br />

relative permittivity and susceptibility of a sample are related r = + 1.<br />

5.4.1 Complex permittivity<br />

In figure (5.6), the dielectric permittivity spectrum over wide range of<br />

frequencies is presented. Various processes such as ionic and dipolar<br />

relaxation, atomic and electronic resonance at higher energies are labeled.<br />

Figure: 5.6 Dielectric permittivity spectrum (www.wikipedia.org).<br />

Unlike in vacuum, the response of normal materials to external fields<br />

depends on the frequency of the applied field. In fact, a polarization of<br />

material does not respond instantaneously to an applied field. For this reason<br />

the permittivity is often treated as a complex function of the frequency of the<br />

applied field [2, 5]. The definition of complex permittivity is<br />

= 0 * (ω) i t<br />

E e<br />

<br />

0 (5.15)<br />

i t<br />

D e<br />

<br />

196

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