EEE445_Lectr04

EEE445_Lectr04 - EEE 591/445 Lecture 04 1 Chapter 2...

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Unformatted text preview: EEE 591/445 Lecture 04 1 Chapter 2 Transmission Line Theory 2.1 Lumped circuit model for a transmission line To review transmission line concepts: distributed circuit, transmission line equations and parameters. Definition of Transmission Line An arrangement of two or more conductors used to convey electromagnetic energy from one point to another. Strictly speaking, only geometries that support TEM modes can be considered transmission lines. However, electromagnetic wave propagation in other situations (e.g., material media, hollow tube waveguides, strip and microstrip lines, etc.) can often be treated using equivalent transmission lines. EEE 591/445 Lecture 04 2 E H H I I- Q Q- Electromagnetic Quantities in Transmission Lines Transmission line Eqs may be derived from Maxwells Eqs into 1D wave equations. Historically, the telegraphers equations were obtained from distributed circuits EEE 591/445 Lecture 04 3 Transmission Line Parameters A general lossy transmission line is completely characterized by four parameters: C = (shunt) capacitance per unit length (F/m) L = (series) inductance per unit length (H/ m) (L = [C ]-1 ) R = (series) resistance per unit length ( / m) EEE 591/445 Lecture 04 4 Examples of Uniform Two-Conductor Transmission Lines Transmission line parameters for some common transmission lines obtained from field analysis are given in Table 2.1 (p.55) in Pozar. Note that the results for parallel-plate transmission line are approximate for w >> d EEE 591/445 Lecture 04 5 Lumped Element Circuit Model for a Transmission Line C z L z z z+ z +- +- v(z,t) v(z+ z,t) i(z,t) i(z + z,t) R z G z Fig. 2.1 Infinitesimal piece of transmission line i(z,t) v(z,t) z EEE 591/445 Lecture 04...
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This note was uploaded on 12/14/2010 for the course EEE 445 taught by Professor Georgepan during the Fall '10 term at ASU.

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EEE445_Lectr04 - EEE 591/445 Lecture 04 1 Chapter 2...

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