By Edward M. Purcell, David J. Morin
For fifty years, Edward M. Purcell's vintage textbook has brought scholars to the realm of electrical energy and magnetism. The 3rd variation has been mentioned up to now and is now in SI devices. It positive aspects thousands of recent examples, difficulties, and figures, and includes discussions of real-life purposes. The textbook covers all of the commonplace introductory issues, reminiscent of electrostatics, magnetism, circuits, electromagnetic waves, and electrical and magnetic fields in topic. Taking a nontraditional procedure, magnetism is derived as a relativistic impact. Mathematical strategies are brought in parallel with the physics issues handy, making the motivations transparent. Macroscopic phenomena are derived carefully from the underlying microscopic physics. With labored examples, hundreds and hundreds of illustrations, and approximately six hundred end-of-chapter difficulties and workouts, this textbook is perfect for electrical energy and magnetism classes. recommendations to the routines can be found for teachers at www.cambridge.org/Purcell-Morin.
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Additional info for Electricity and Magnetism (3rd Edition)
Superposition means combining two sets of sources into one system by adding the second system “on top of” the first without altering the configuration of either one. Our principle ensures that the force on a charge placed at any point in the combined system will be the vector sum of the forces that each set of sources, acting alone, causes to act on a charge at that point. This principle must not be taken lightly for granted. There may well be a domain of phenomena, involving very small distances or very intense forces, where superposition no longer holds.
The negative sign shows that work would have to be done to take the crystal apart into ions. In other words, the electrical energy helps to explain the cohesion of the crystal. If this were the whole story, however, the crystal would collapse, for the potential energy of the charge distribution is obviously lowered by shrinking all the distances. We meet here again the familiar dilemma of classical – that is, nonquantum – physics. 12. Does this make our analysis useless? Not at all. Remarkably, and happily, in the quantum physics of crystals the electrical potential energy can still be given meaning, and can be computed very much in the way we have learned here.
It makes no difference whether we bring q1 toward q2 or the other way around. In either case the work done is the integral of the product: force times displacement, where these are signed quantities. The force that has to be applied to move one charge toward the other is equal and opposite to the Coulomb force. 4. Three charges are brought near one another. First q2 is brought in; then, with q1 and q2 ﬁxed, q3 is brought in. − 1 4π q1 q2 2 0 r dr = 1 4π q1 q2 . 9) Note that because r is changing from ∞ to r12 , the differential dr is negative.