author Turin Prep

Electric Fields in Matter

So far, we have studied electric fields in a vacuum. In this section, we explore how matter influences electrostatics. Matter comes in two main varieties: conductors and dielectrics (insulators).

We will examine how external fields induce charges on conductors or polarize the atoms within insulators. This leads to the concept of bound charges and necessitates the introduction of a new auxiliary field, the Electric Displacement (D).

Conductors

Basic properties, induced charges, surface charge density, and cavities.

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Polarization

Induced dipoles, alignment of polar molecules, and the polarization vector P.

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The Field of a Polarized Object

Bound surface and volume charges, and the physical interpretation of polarization.

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The Electric Displacement

Gauss's Law in the presence of dielectrics and the auxiliary field D.

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Linear Dielectrics

Susceptibility, permittivity, dielectric constants, and boundary value problems.

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