By Andrew Zangwill

A fascinating writing sort and a powerful concentrate on the physics make this entire, graduate-level textbook specific between present classical electromagnetism textbooks. Charged debris in vacuum and the electrodynamics of constant media are given equivalent consciousness in discussions of electrostatics, magnetostatics, quasistatics, conservation legislation, wave propagation, radiation, scattering, distinct relativity, and box concept. broad use of qualitative arguments just like these utilized by operating physicists makes smooth Electrodynamics a must have for each pupil of this topic. In 24 chapters, the textbook covers many extra issues than may be offered in a standard two-semester direction, making it effortless for teachers to tailor classes to their particular wishes. on the subject of a hundred and twenty labored examples and eighty functions containers support the reader construct actual instinct and improve technical ability. approximately six hundred end-of-chapter homework difficulties motivate scholars to interact actively with the cloth. A recommendations handbook is obtainable for teachers at www.cambridge.org/Zangwill.

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**Example text**

The charge density and electrostatic potential found in this way are used to calculate a wide range of physical properties. Quantitative agreement with experiment is the norm, but only when the microscopic spatial variations are retained in full. 4, which compares the charge density in crystalline silicon as measured by xray diffraction with quantum mechanical calculations of the same quantity. First-principles calculations for diamagnetic molecules and ferromagnetic solids show similar agreement with experiment when the relevant magnetic fields are computed using microscopic magnetostatics.

19 Two Surface Integrals Let S be the surface that bounds a volume V . 20 1 3 dS · r = V. S Electrostatic Dot and Cross Products If a and b are constant vectors, ϕ(r) = (a × r) · (b × r) is the electrostatic potential in some region of space. Find the electric field E = −∇ϕ and then the charge density ρ = 0 ∇ · E associated with this potential. 21 A Decomposition Identity Let A and B be vectors. 22 1 2 ijk (A × B)k + 1 (Ai Bj + Aj Bi ). 2 A Power Theorem Let F (r, t) and G(r, t) be real functions.

Dr r 2 · · · Convince yourself that the test function f (r) does not provide any information. 0 Then try f (r)/r. 7 sin mx is a representation of δ(x). πx An Application of Stokes’ Theorem Without using vector identities, (a) Use Stokes’ Theorem dS · (∇ × A) = ds · A with A = c × F where c is an arbitrary constant vector to establish the equality on the left side of ˆ (∇ · F)} = dS {ˆ ni ∇Fi − n ds × F = C S dS (ˆ n × ∇) × F. S (b) Confirm the equality on the right side of this expression. 8 dS.