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quiz5_solution[1]

# quiz5_solution[1] - Name Student Number ELEC3909 Quiz 5 1...

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Unformatted text preview: Name: Student Number: ELEC3909 Quiz 5 June 12, 2003 1. It’s the seventh game of the 2009 Stanley Cup ﬁnal and Vancouver is playing Ottawa. Your TV is broken, but you manage to ﬁnd a dusty old black and white TV in the basement. This old TV has an input impedance of 300 Q. You can’t ﬁnd an antenna for the TV, so you have to connect it to the 75 0 cable TV E system. The cable signal is very weak, so you decide to match the TV to 75 0 using the network built from 1“ lengths of 75 (1 cable as suggested below. The cable has a dielectric with eT = 2.25. The game is on channel 2 at 50 MHz. Show your work on the admittance Smith chart attached. 0 TV ‘ W 30:19.5 >3 arm n sirw‘i? a) What is the normalized conductance of the TV input? Plot this on the Smith chart. I mark '1‘ i S -1 g, tggg- g; 0.15 4 . b) Using the Smith chart, what is the reﬂection coefﬁcient F of the TV in the 75 0 system? 1 mark ~ 0. 6i c) What is the shortest length D of cable (in meters) required to transform the TV input to 75 Q in parallel with a susceptance? Is this susceptance capacitive or inductive? Wh- it}: RIF oF M 4 marks D: arm = (M76. 32 = 0.175. c, _¢1_~ = one 2.40? '__L : 70 Ham {5: fault; E2? S'uxlo‘ 15' ' d) To complete the match, a susceptancc synthesized from a stub of length I is connected in parallel with the line as shown. To minimize I, should the stub have a short circuit or open circuit termination? Explain. What lengthlis required? M 1 =15 4marics' £4 L=0,0‘i‘l%= ma. . M ,H' ...
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