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 divergence and curl of this vector field are V . 0 = (cot#)/r and V x 6 = d>/r.
These results make sense geometrically. The tangent curves of 0 are circles with
constant longitude. These curves diverge at all points except the equator (9 = n/2)
2.5 □ THE HELMHOLTZ THEOREM We end this chapter with a theorem in
vector calculus that requires an understanding of the basic concepts defined
earlier. Preliminaries A vector function (or field) F(x) that has zero curl, V x F = 0,
is called ...
(It may help to write the curl in Cartesian coordinates to see that this step is
correct.) Hence B(x) = V x MO f J(xW 4n J |x - x'| (8.41) Equation (8.41) is
important. It says that B(x) is equal to the curl of a vector function, B = V x A. The
function A(x) ...
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History and Perspective
Basic Principles of Electrostatics
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