Electromagnetism sets a new standard in physics education. Throughout the book, the theory is illustrated with real-life applications in modern technology. It also includes detailed work examples and step-by-step explanations to help readers develop their problem-solving strategies and skills and consolidate their understanding. In addition to a meticulous development of thse traditional, analytical mathematical approaches, readers are also introduced to a range of techniques required for solving problems using computers. Electromagnetism provides an ideal preparation for readers who plan advanced studies in electrodynamics as well as those moving into industry or engineering .
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The integration region is the whole dielectric volume. Now we shall rewrite (6.14)
in a familiar form. First, note that (x — x')/|x — x'|3 is equal to V'(l/|x — x'|), where V
is the gradient operator for x'. Next, convert the integrand by the identity P(Iy(v ...
We denote by J(x) the volume current density at the point x. The definition of J(x)
is that if dA is an infinitesimal area at x in the volume, then J(x) . dA is the net
charge per unit time passing through dA; that is, as illustrated in Fig. 7.3. In other
This local conservation of charge is described mathematically by the continuity
equation dp Here p(x, t) is the volume charge density (= charge per unit volume),
and J(x, t) is the volume current density (= current per unit area). Equation (7.6) is
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History and Perspective
Basic Principles of Electrostatics
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