Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Y = 5

c) Figure 3 depicts a lengthwise cross-section of a coaxial transmission
line, indicating the direction of current flow in the inner and outer
conductors.
load
source
A
2a
2b
B
Figure 3
(i) Starting with the expression of Ampère's law for a long current
carrying conductor, find an expression for the total magnetic flux
linking the area ABCD, and show that the inductance per unit
length of the transmission line at very high frequencies is given by:
L' = Ho In
2π
(ii) Explain why the internal inductance of the conductors is ignored at
high frequencies
(iii) Calculate the inductance per unit length and characteristic
impedance of the coaxial cable of Question 1(c).
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Transcribed Image Text:c) Figure 3 depicts a lengthwise cross-section of a coaxial transmission line, indicating the direction of current flow in the inner and outer conductors. load source A 2a 2b B Figure 3 (i) Starting with the expression of Ampère's law for a long current carrying conductor, find an expression for the total magnetic flux linking the area ABCD, and show that the inductance per unit length of the transmission line at very high frequencies is given by: L' = Ho In 2π (ii) Explain why the internal inductance of the conductors is ignored at high frequencies (iii) Calculate the inductance per unit length and characteristic impedance of the coaxial cable of Question 1(c).
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