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# 329sp09hw13 - ECE 329 Homework 13 Due date see below 1 Due...

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ECE 329 Homework 13 Due date: see below 1. Due date: Tue, Apr 28, 2009, 5PM: The solution of the following problem can be found in our web site — see solution handout for Exam 3, Fall 08. We ask you to first attempt the problem without looking at the solution. After your initial work you are allowed to compare your results with the posted solution and making any adjustments that you like before handing in the assignment by 5 PM on Tue. Consider a transmission line segment of propagation velocity v p = 2 3 c = 2 × 10 8 m/s, characteristic impedance Z o = 50 Ω , and length l . As shown in figure (a) below, the segment is connected in parallel with a 50 Ω resistor and an ideal current source i ( t ) = Re { Ie j ω t } , where I = 2 0 A is the source current phasor and ω = π × 10 8 rad/s; figure (b) depicts an equivalent circuit in terms of input impedance of the transmission line at d = l , namely Z ( l ) V ( l ) I ( l ) . (a) Transmission line circuit (b) Equivalent circuit V ( l/ 2) 0 d l/ 2 + - + - + - 2 0 A 50 Ω 50 Ω Z ( l ) = V ( l ) I ( l ) V (0) I (0) V ( l ) I ( l ) I ( l/ 2) 2 0 A l I R I R In answering the following questions assume that the circuit above is in sinusodial steady-state: a) What is the signal wavelength λ (in m) on the transmission line?

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329sp09hw13 - ECE 329 Homework 13 Due date see below 1 Due...

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