Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 13, Problem 13.6P

Consider an air-filled coaxial transmission line having inner and outer radii a and b. (a) Show that skin effect loss in the line is minimized when b/a = 3.6, yielding characteristic impedance Z 0 = 77 Ω . (b) Show that the maximum power the line can carry before air breakdown occurs is achieved when b/a = 1.65., yielding characteristic impedance Z0 = 30 ohms. Assume low loss, such that the attenuation coefficient is given by Eq. (54a) in Chapter 10.

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c) An RC circuit is given in Figure Q1.1, where Vi(t) and Vo(t) are the input and output voltages. (i) Derive the transfer function of the circuit. (ii) With a unit step change of Vi(t) applied to the circuit, derive the time response of Vo(t) with this step change. Vi(t) C₁ Vo(1) R₂ C2 C3 | R = 20 ΚΩ = 50 ΚΩ C=C2=C3=25 μF Figure Q1.1. RC circuit.
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