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EECS 215 F07 Problem Set 10

# EECS 215 F07 Problem Set 10 - 3 7 A&S 14.95 8 The...

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1 EECS 215 Winter 2007 Problem Set #10 Assigned: Friday, 11/30/07 Due: Monday , 12/10/07 Homework is due at the beginning of lecture. Reading Assignment: A&S Chapters 11, 14 1. L . 2. A&S 11.47, 3. A&S 11.54, For the circuit below, find the complex power absorbed by each element.

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2 4. A&S 11.69, (look, a “real” problem! The voltage source at your wallplug…) 5. A&S 14.6, For the circuit below, find the H(s)=I 0 (s)/I S (s). ALSO, use Matlab or other graphing software to plot magnitude and phase plots (Bode plots, you choose appropriate axis range). 6. A&S 14.96, The crossover circuit below is a lowpass filter that is connected to a woofer. Find the transfer function H( ω )=V 0 ( ω )/V i ( ω ). EXTRA CREDIT (5 points): plot the magnitude Bode plot and determine musically where the woofer operates (provide the key number and note on an 88-piano keyboard or MIDI note number).
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Unformatted text preview: 3 7. A&S 14.95, 8. The circuit below is known as a “notch” filter, used to remove a narrow range of frequencies (for example, an undesired resonance). a) Determine the transfer function for this circuit. Assume that “IN” and “OUT” are voltages. b) Plot the magnitude Bode plot for this filter. c) Determine the center frequency for the notch filter, and reduction in magnitude at the center frequency (in dB). 9. The circuit below is a low-pass filter known as a Butterworth filter (primary virtue is to have an extremely flat pass band) a) Determine the transfer function H(s)=V out (s)/V in (s). b) Plot the magnitude Bode plot, using frequency in Hz rather than rad/s. c) Determine the cutoff frequency and attenuation for the filter (in dB/decade) V in R 1 R 2 R 3 R 4 R C C 3 C 1 C 2 C 4 V out R=R 1 =R 2 =R 3 =R 4 =1k Ω C=16 nF, C 1 =19 nF, C 2 =13 nF, C 3 =51 nF, C 4 =4.9 nF,...
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EECS 215 F07 Problem Set 10 - 3 7 A&S 14.95 8 The...

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