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# Module 2c - Content of lecture 3 Bounce diagrams for...

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2/2/2009 1 Content of lecture 3 Bounce diagrams for transients and for pulses Quick return on Smith chart Measuring unknown impedances using a transmission line (2 methods) Scattering parameters (S-matrix) Signal dispersion on transmission lines 1 Elements of Electromagnetics Fourth Edition Sadiku 2 Figure 11.25 Transients on a transmission line: (a) a line driven by a pulse generator, (b) the equivalent circuit at z = 0, t = 0 + .

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2/2/2009 2 Elements of Electromagnetics Fourth Edition Sadiku 3 Figure 11.26 Bounce diagram for (a) a voltage wave and (b) a current wave. Bounce diagrams exist for currents as well (but I - = - G I + ) Elements of Electromagnetics Fourth Edition Sadiku 4 Figure 11.27 For Example 11.8.
2/2/2009 3 Elements of Electromagnetics Fourth Edition Sadiku 5 Figure 11.28 Voltage bounce diagram for Example 11.8. Elements of Electromagnetics Fourth Edition Sadiku 6 Figure 11.29 Voltage (not to scale) for Example 11.8: (a) at the generator end, (b) at the load end.

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2/2/2009 4 Elements of Electromagnetics Fourth Edition Sadiku 7 Figure 11.30 Equivalent circuits for the line in Figure 11.27 for (a) t = 0, and (b) t = ∞. Pulse input circuit (V switched on at t=0, off at t=T) Page 8 V(t=0) = V s Z 0 /(Z s +Z 0 ) until t = T Then V=0 until the reflected pulse comes back from the line end
2/2/2009 5 Bounce diagram for pulse response Page 9 Here T = t l /2 This bounce diagram shows V(t) measured at z=- l /2 NB, here for instance 0< G (0)<1 -1< G (- l )<0 Bounce diagram for pulse response Page 10 Here T = t l /2 This bounce diagram shows V(t) measured at z=0

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