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The Resonant Cavity

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Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

Abstract

The displacement current in the fourth Maxwell equation can be neglected in steady or quasi steady conditions, but it is relevant in fast processes and produces new phenomena if connected to the electromagnetic induction.

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Notes

  1. 1.

    R.P. Feynman, R.B. Leighton, M. Sand, The Feynman Lectures on Physics, Vol. II, Chap. 23. We suggest to read the Chaps. 16 and 17 on the electromagnetic induction.

  2. 2.

    The induced electric field is null on the axis of the capacitor and the contour integral of \(E_1\) is clearly null.

  3. 3.

    See for instance: I.M. Gradshteyn and I.M. Rizhik, Table of Integrals, Series, and Products, 8.441, 1.

  4. 4.

    Gradshteyn-Rizhik, 8.441, 2.

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Correspondence to Francesco Lacava .

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© 2016 Springer International Publishing Switzerland

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Lacava, F. (2016). The Resonant Cavity. In: Classical Electrodynamics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-39474-9_8

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