Problem 9.20(a) Show that the skin depth in a poor conductor (σ << we) is (2/0)√√√ε/μ (inde-pendent of frequency). Find the skin depth (in meters) for (pure) water. (Use thestatic values of ε, μ, and σ; your answers will be valid, then, only at relativelylow frequencies.)(b) Show that the skin depth in a good conductor (σ » we) is λ/2л (where λ is thewavelength in the conductor). Find the skin depth (in nanometers) for a typicalmetal (σ 107 (2 m)¯¹) in the visible range (w≈ 10¹5/s), assuming € ≈ €0 andμ≈μo. Why are metals opaque?(c) Show that in a good conductor the magnetic field lags the electric field by 45°,and find the ratio of their amplitudes. For a numerical example, use the "typicalmetal" in part (b).

Answered: Image /qna-images/answer/3a3730c5-c2b5-41ee-99cf-9a0eb43153c5.jpg

Answered: Problem 9.20 (a) Show that the skin…

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter7: Tunneling Phenomena

Section7.1: The Square Barrier

Problem 2E

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