Final_2009_solutions

Final_2009_solutions - Final exam, 2009 Solutions...

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ECSE 451/Webb/April 09 1 Final_2009_solutions: 1 Final exam, 2009 Solutions Final_2009_solutions: 2 1. Here: There are two sections, connected together and shorted at the ends:
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ECSE 451/Webb/April 09 2 Final_2009_solutions: 3 For line 2: For a short-circuited transmission line, length l : For line 1: So : Final_2009_solutions: 4 The cut-off frequency must obey this equation.
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ECSE 451/Webb/April 09 3 Final_2009_solutions: 5 2. () () 9 9 10 887 . 2 5 . 0 10 5 × + × + = ω β c Final_2009_solutions: 6 At high frequencies, the phase velocity tends to the plane wave velocity in the substrate.
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ECSE 451/Webb/April 09 4 Final_2009_solutions: 7 The most compact design uses a quarter-wavelength of waveguide, terminated in a short circuit. View from above () () 9 9 10 887 . 2 5 . 0 10 5 × + × + = ω β c Final_2009_solutions: 8 3. I s s s jB G Y + = The Thevenin equivalent:
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ECSE 451/Webb/April 09 5 Final_2009_solutions: 9 From part (a): But: since magnitude of I is peak current So:
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Final_2009_solutions - Final exam, 2009 Solutions...

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