A hollow cylindrical shell of radius a is centered on the z axis and carries a uniform

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A hollow cylindrical shell of radius a is centered on the z axis and carries a uniform surface current density of Kaaφ.

(a) Show that H is not a function of ϕ or z.

(b) Show that Hϕ and Hρ are everywhere zero.

(c) Show that Hz = 0 for ρ > a.

(d) Show that Hz = Ka for ρ < a.

(e) A second shell, ρ = b, carries a current Kbaϕ. Find H everywhere.

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Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

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