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A#14 - Due Fri 6(9 Find an expression for ω H so that the...

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Assignment #14 – p.1 ECSE-2410 Signals & Systems - Spring 2009 Due Fri 03/20/09 1(24). Sketch the straight-line Bode Magnitude plot. Label all key magnitude, frequency and slope values. Check the slopes of ( ) ω H when 0 ω and when ω . (a) ( ) + + = 50 1 10 1 100 ω ω ω ω j j j H (b) ( ) ( ) + + + = 10 1 1 . 0 1 1 50 ω ω ω ω ω j j j j H c) ( ) ( ) 2 10 1 1 10 + + = ω ω ω ω j j j H 2(24). Text 6.51 3(16). Using the Bode magnitude approximation find the approximate magnitude of ( ) ω H at (a) 10 10 = ω , where ( ) ( ) + + + = 10 1 1 100 1 100 ω ω ω ω j j j H . (b) 5 = ω , where ( ) ( ) + + = 10 1 1 100 ω ω ω j j H 4(9). At what frequency, c ω ω = , is the magnitude of ( ) ( ) + + + = 10 1 5 1 1 ω ω ω ω j j j H equal to zero ? dB 5(9). Sketch the straight-line Bode magnitude plot for the frequency response function, ( ) ω H , of the circuit, 1 . 0 = C 1 2 = R 9 1 = R ( ) t x ( ) t y + +
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