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Physics · Ch 1 — Electrostatics

Dielectrics or insulators

1.7.4

Dielectrics or insulators

A dielectric is a non-conducting material with no free electrons -- every electron in a dielectric remains bound within its own atom or molecule. Ebonite, glass and mica are common examples. Dielectric materials fall into two categories, depending on their molecular structure. In non-polar molecules, the centre of the positive charge (the nuclei) and the centre of the negative charge (the electron cloud) coincide exactly, so the molecule has zero dipole moment when no external field is present; when an external electric field is applied, however, the field pulls the positive and negative charge centres apart by a tiny distance, inducing a small dipole moment in each molecule, aligned with the applied field. In polar molecules (such as water), by contrast, the positive and negative charge centres are already permanently offset even with no applied field, so each molecule carries its own permanent dipole moment; in the absence of an external field, however, thermal motion orients these permanent dipoles randomly in every direction, so their contributions cancel and the material shows no net polarisation on average. When an external field is applied to a polar dielectric, the field exerts a torque on each permanent dipole (as derived in section 1.4.3), twisting the molecules to align, at least partially, with the field direction; the resulting partial alignment gives the material a net polarisation, even though each individual dipole's magnitude is unchanged, only i …

Figure 1.48Non-polar molecules in the presence of an external electric field

What this figure shows. A molecule with its positive and negative charge centres normally coinciding exactly (a non-polar molecule, with zero dipole moment in the absence of any field) is shown first undisturbed, then shown with its positive and negative charge clouds slightly displaced apart from each other once an external field E is switched on, creating a small induced dipole moment aligned with the applied field. The tiny separation shown is exaggerated for clarity; in reality the displacement of the charge centres within a molecule under a typical laboratory field is minute, but it is precisely this induced separation that gives rise …

Figure 1.49(a) Randomly oriented polar molecules with no external field (b) aligned by an external field

What this figure shows. In panel (a), many polar molecules -- each already possessing its own permanent dipole moment even without any applied field -- are drawn scattered with their individual dipole-moment arrows pointing in every random direction, so that their vector sum, and hence the material's net polarisation, averages to zero overall. In panel (b), once an external field E is switched on, the same molecules' dipole moments are shown twisting to align, at least partially, with the field direction, giving the material as a whole a net induced polarisation even though each individual molecule's dipole moment magnitude does not its …