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Problem 1 (20 points) (Chap 3) (Learning objective: Wave equation for TEM transmission line) RG-59 coaxial transmission line can be modeled as having the following equivalent circuit parameters: R'≈0.164 2/m, G'≈ 200 μS/m, C" 67.7 pF/m, and L'≈ 370 nH/m. Let us consider the attenuation in voltage over one meter of RG-59. Assume the source frequency is 100 MHz. (a) If the cable is perfectly impedance-matched at both ends, and the voltage magnitude is 1 V at the source end, then what is the voltage magnitude at the other end? (b) Calculate the phase introduced by the cable. In other words, if the voltage phase is 0° at the source end, then what is the voltage phase at the other end? (c) Even though you may not yet have formally encountered radio waves, you already know how to compute the answers to parts (a) and (b) for a radio wave propagating in free space. Compare your answers to parts (a) and (b) for RG-59 to those for a radio wave at the same frequency that propagates the same distance in free space.

Problem 1 (20 points) (Chap 3) (Learning objective: Wave equation for TEM transmission line) RG-59 coaxial transmission line can be modeled as having the following equivalent circuit parameters: R'≈0.164 2/m, G'≈ 200 μS/m, C" 67.7 pF/m, and L'≈ 370 nH/m. Let us consider the attenuation in voltage over one meter of RG-59. Assume the source frequency is 100 MHz. (a) If the cable is perfectly impedance-matched at both ends, and the voltage magnitude is 1 V at the source end, then what is the voltage magnitude at the other end? (b) Calculate the phase introduced by the cable. In other words, if the voltage phase is 0° at the source end, then what is the voltage phase at the other end? (c) Even though you may not yet have formally encountered radio waves, you already know how to compute the answers to parts (a) and (b) for a radio wave propagating in free space. Compare your answers to parts (a) and (b) for RG-59 to those for a radio wave at the same frequency that propagates the same distance in free space.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 1 (20 points) (Chap 3) (Learning objective: Wave equation for TEM transmission line) RG-59 coaxial transmission line can be modeled as having the following equivalent circuit parameters: R'≈0.164 2/m, G'≈ 200 μS/m, C" 67.7 pF/m, and L'≈ 370 nH/m. Let us consider the attenuation in voltage over one meter of RG-59. Assume the source frequency is 100 MHz. (a) If the cable is perfectly impedance-matched at both ends, and the voltage magnitude is 1 V at the source end, then what is the voltage magnitude at the other end? (b) Calculate the phase introduced by the cable. In other words, if the voltage phase is 0° at the source end, then what is the voltage phase at the other end? (c) Even though you may not yet have formally encountered radio waves, you already know how to compute the answers to parts (a) and (b) for a radio wave propagating in free space. Compare your answers to parts (a) and (b) for RG-59 to those for a radio wave at the same frequency that propagates the same distance in free space.
Transcribed Image Text:Problem 1 (20 points) (Chap 3) (Learning objective: Wave equation for TEM transmission line) RG-59 coaxial transmission line can be modeled as having the following equivalent circuit parameters: R'≈0.164 2/m, G'≈ 200 μS/m, C" 67.7 pF/m, and L'≈ 370 nH/m. Let us consider the attenuation in voltage over one meter of RG-59. Assume the source frequency is 100 MHz. (a) If the cable is perfectly impedance-matched at both ends, and the voltage magnitude is 1 V at the source end, then what is the voltage magnitude at the other end? (b) Calculate the phase introduced by the cable. In other words, if the voltage phase is 0° at the source end, then what is the voltage phase at the other end? (c) Even though you may not yet have formally encountered radio waves, you already know how to compute the answers to parts (a) and (b) for a radio wave propagating in free space. Compare your answers to parts (a) and (b) for RG-59 to those for a radio wave at the same frequency that propagates the same distance in free space.
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