Santhakumar Raja

I am the founder of Pedagogy Zone, a dedicated education platform that provides reliable and up-to-date information on academic trends, learning resources, and educational developments.

Dielectric Materials – Solved Problems

1. If an ionic crystal is subjected to an electric field of 1000 V/m and the resulting polarization is 4.3 × 10-8 cm², Calculate the relative permittivity of the crystal. Given E = 1000 V/m, ε0 =8.85×10-12 F/m, P = 4.3 × 10-8 C/m², εr = ? Solution :- [latex] \begin{aligned} P & =\varepsilon_{\mathrm{o}}\left(\varepsilon_{\mathrm{r}}-1\right) \mathrm{E} \\

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Ferro-Electricity and Applications

Ferro-electricity When a dielectric material exhibits electric polarization even in the absence of external field, it is known as ferro-electricity and these materials are termed as ferro-electrics. Ferro-electric Ferro-electrics are anisotropic crystals which exhibit spontaneous polarization, i.e., they exhibit polarization even in the absence of external electric field. Examples (i) Rochelle salt. (ii) Barium titanate

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Clausius – Mossotti Equation

If N be the number of molecules per unit volume and α the molecular polarizability then Total polarization [latex] \quad \mathrm{P}=\mathrm{N} \alpha \mathrm{E}_{\mathrm{int}} [/latex] eqn, (10) [latex] \therefore \quad E_{\text {int }}=\frac{\mathrm{P}}{\mathrm{N} \alpha} [/latex] Further, we know that [latex] \begin{aligned} \mathrm{D} & =\varepsilon \mathrm{E}=\varepsilon_{0} \mathrm{E}+\mathrm{P} \\ \left(\varepsilon-\varepsilon_{0}\right) \mathrm{E} & =\mathrm{P} \\ \mathrm{E} & =\frac{\mathrm{P}}{\varepsilon-\varepsilon_{0}} \end{aligned} [/latex]

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Types of Polarisation – Pedagogy Zone

When the dielectric material is placed in an electric field, the electric field realigns the dipoles resulting in polarization. Polarization occurs in a dielectric material when it is subjected to an external electric field. There are four polarisation mechanisms. They are Electronic polarization, Ionic polarization, Orientation polarisation and Space charge polarisation. Electronic or Induced Polarisation

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