Gauss's Law - Equation For Linear Materials

Equation For Linear Materials

In homogeneous, isotropic, nondispersive, linear materials, there is a simple relationship between E and D:

where ε is the permittivity of the material. For the case of vacuum (aka free space), ε = ε0. Under these circumstances, Gauss's law modifies to

for the integral form, and

for the differential form.

Read more about this topic:  Gauss's Law

Famous quotes containing the words equation and/or materials:

    Jail sentences have many functions, but one is surely to send a message about what our society abhors and what it values. This week, the equation was twofold: female infidelity twice as bad as male abuse, the life of a woman half as valuable as that of a man. The killing of the woman taken in adultery has a long history and survives today in many cultures. One of those is our own.
    Anna Quindlen (b. 1952)

    Herein is the explanation of the analogies, which exist in all the arts. They are the re-appearance of one mind, working in many materials to many temporary ends. Raphael paints wisdom, Handel sings it, Phidias carves it, Shakspeare writes it, Wren builds it, Columbus sails it, Luther preaches it, Washington arms it, Watt mechanizes it. Painting was called “silent poetry,” and poetry “speaking painting.” The laws of each art are convertible into the laws of every other.
    Ralph Waldo Emerson (1803–1882)