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12Spring_hw07 - 8 Ω the capacitor with a value C to be...

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ECE210/211 - Spring 2012 - Homework 07 1. Textbook problem 5.1 2. Textbook problem 5.3 3. Textbook problem 5.9 4. Textbook problem 5.11 5. Textbook problem 5.13 parts e, f, g, h 6. Consider the Figure 3.15(b) from the textbook. (a) Find the frequency response of the system shown in Figure 3.15(b) from the textbook, for R = 500 Ω , and L = 0 . 1 Henries. (b) Now insert a resistor R s = 100Ω in series between the voltage source and the inductor. Find the frequency response. (c) What kind of filter is this? (Lowpass, highpass, bandpass, or bandstop) What is(are) the 3 dB cutoff frequency(ies) of this filter? (d) For the input v s ( t ) = sin(1000 t ) , find the output v o ( t ) 7. Consider the circuit in Figure 4.1(a) of the text, but with the resistance being a "tweeter" (high-frequency) loudspeaker with the standard purely resistive impedance of
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Unformatted text preview: 8 Ω , the capacitor with a value C to be determined, and the input voltage a cosinusoid of frequency ω . (a) Find the frequency response of this system (b) The tweeter loudspeaker is designed to best reproduce frequencies above 2 kHz , so it is desired to build an audio "crossover" filter accordingly. Determine the value of the capacitor, C , that will give you a 3 dB cutoff frequency of exactly 2 kHz . (Don’t forget to convert from Hz (cycles/sec) to radians/sec in your analysis!) (c) Sketch on separate graphs the magnitude response, and the phase response, of this filter from-10 kHz to 10 kHz . (d) Show that this filter has a highpass frequency response (you can refer to your sketch(es) in Part (c) if you wish.) Page 1 of 1 by D. Jones...
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