ElectromagnetismElectromagnetism 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 4-momentum of P is defined by p" = mrf (12.32) where m is the rest mass.
The rest mass is a Lorentz scalar.15 The 4-momentum is a 4- vector because rf-
is a 4- vector and m a scalar. Energy and Momentum The temporal component of
p11 is identified as E/c, where E is the total particle energy. The spatial
components make up the spatial momentum p. That is, .J1 = ( P°\ \ P3 I I Etc \ Px
Py \Pz ) (12.33) Writing these components in terms of the particle velocity u in an
arbitrary ...
Furthermore, the structure of the field equations, including those of magnetism, is
completely determined by the requirement of relativistic covariance. Although
axiomitization is merely formalism, it is interesting that relativity demands certain
interactions of particles and fields. 12.7 □ THE ENERGY-MOMENTUM FLUX
TENSOR We will study one final theoretical development, relating to energy and
momentum of the electromagnetic field. The covariant form of the electromagnetic
theory ...
All of our considerations of field energy and momentum in this section start from
tensor equations, so the conclusions are consistent with Einstein's postulate of
relativity. To verify that (12.1 15) does satisfy the continuity equation (12.1 12), we
note that the 4-space divergence of (12.1 15) can be written in the form dT11v III
:=iuw) if f^+^+^i). (12,17) fio I \3^/ 2 * L dx)i dx„ dxp J J v (We have used the fact
that gt1vd/dxv = d/dxt1.) By Maxwell's equation (12.55) the quantity dFv /dxv,
which ...
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Contents
History and Perspective | 1 |
Vector Calculus | 9 |
Basic Principles of Electrostatics | 44 |
Copyright | |
14 other sections not shown