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Solved Problems in Classical ElectromagnetismAnalytical and Numerical Solutions with Comments$
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J. Pierrus

Print publication date: 2018

Print ISBN-13: 9780198821915

Published to Oxford Scholarship Online: October 2018

DOI: 10.1093/oso/9780198821915.001.0001

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Quasi-static electric and magnetic fields in vacuum

Quasi-static electric and magnetic fields in vacuum

(p.249) 5 Quasi-static electric and magnetic fields in vacuum
Solved Problems in Classical Electromagnetism

J. Pierrus

Oxford University Press

In this chapter, the transition from time-independent to time-dependent source densities and fields is made. It is here that Faraday’s famous nineteenth-century experiments on electromagnetic induction are first encountered. This important phenomenon—whereby a changing magnetic field produces an induced electric field (whose curl is now no longer zero)—forms the basis of most of the questions and solutions which follow. Some new and interesting examples—not usually found in other textbooks—are introduced. These are treated both from an analytical and numerical point of view. Also considered here is the standard yet important topic (at least from a practical standpoint) of mutual and self-inductance. Several questions deal with this concept.

Keywords:   quasi-static currents quasi-static fields, electromotive force induced emf, electromagnetic induction Faraday’s law, Lenz’s law magnetic flux, self-inductance mutual inductance

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