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C. Infinitely Long Coaxial Transmission Line Consider an infinitely long transmission line consisting of two concentric cylinders hav- ing their axes along the z-axis. The cross section of the line is shown in Figure 7.12, where the z-axis is out of the page. The inner conductor has radius a and carries current I, while the outer conductor has inner radius b and thickness t and carries return current -I. We want to determine H everywhere, assuming that current is uniformly distributed in both conductors. Since the current distribution is symmetrical, we apply Ampère's law along the Amperian path for each of the four possible regions: 0 < p < a, a < p< b, b b + t.

C. Infinitely Long Coaxial Transmission Line Consider an infinitely long transmission line consisting of two concentric cylinders hav- ing their axes along the z-axis. The cross section of the line is shown in Figure 7.12, where the z-axis is out of the page. The inner conductor has radius a and carries current I, while the outer conductor has inner radius b and thickness t and carries return current -I. We want to determine H everywhere, assuming that current is uniformly distributed in both conductors. Since the current distribution is symmetrical, we apply Ampère's law along the Amperian path for each of the four possible regions: 0 < p < a, a < p< b, b b + t.

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Deduction of Section 7.4 C – Sadiku's Elements of Electromagnetics 7th Edition – please refer to the first image for it.

Question: I need help to deduce H on the infinitely long coaxial transmission line (section 7.4 C). Please comment each passage and expand every possible equation, as I am having deep trouble understading where does it all come from.

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C. Infinitely Long Coaxial Transmission Line Consider an infinitely long transmission line consisting of two concentric cylinders hav- ing their axes along the z-axis. The cross section of the line is shown in Figure 7.12, where the z-axis is out of the page. The inner conductor has radius a and carries current I, while the outer conductor has inner radius b and thickness t and carries return current -I. We want to determine H everywhere, assuming that current is uniformly distributed in both conductors. Since the current distribution is symmetrical, we apply Ampère's law along the Amperian path for each of the four possible regions: 0 < ps a, a sps b, b<p<b+ t, and p > b + t.
Transcribed Image Text:C. Infinitely Long Coaxial Transmission Line Consider an infinitely long transmission line consisting of two concentric cylinders hav- ing their axes along the z-axis. The cross section of the line is shown in Figure 7.12, where the z-axis is out of the page. The inner conductor has radius a and carries current I, while the outer conductor has inner radius b and thickness t and carries return current -I. We want to determine H everywhere, assuming that current is uniformly distributed in both conductors. Since the current distribution is symmetrical, we apply Ampère's law along the Amperian path for each of the four possible regions: 0 < ps a, a sps b, b<p<b+ t, and p > b + t.
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