HW9 sol ECE2100 Page 1 - cpb-us-w2.wpmucdn.com€¦ · HW9_sol Page 10 . Problem 6: Determine the...
Transcript of HW9 sol ECE2100 Page 1 - cpb-us-w2.wpmucdn.com€¦ · HW9_sol Page 10 . Problem 6: Determine the...
HW9 Solutions ECE2100 Autumn 2014Problems encircled in red were graded
Problems start from next page
HW9_sol ECE2100 Page 1
HW9_sol Page 1
Problem 1: Determine the Magnitude frequency response.
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Problem 2: Use MATLAB to plot the magnitude frequency response of the circuit given in Problem 1 in the range 2.5x104 and 4.5x104 radians/sec. What type of filter is it? LP? BP? or HP?
>> R = 10^3>> L = 10^‐3>> C = 10^‐6>> w_min = 2.5e4>> w_max = 4.5e4>> w=[w_min: (w_max‐w_min)/100: w_max];>> M = R./sqrt( (R‐w.^2*L*R*C).^2 + w.^2*L^2 );>> plot(w, M)
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Problem 3: Design an active low pass filter with a dc magnitude gain of 1 V/V and a cutoff frequency of 10,000 rad/sec. Assume that you have a 1 microFarad capacitor at your disposal.
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Problem 4: Design an active Band Pass filter with a magnitude response shown below. Assume that you have 1 nanoFarad capacitors at your disposal.
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Problem 5: Design an active Band Reject filter with a magnitude response shown below. Assume that you have 1 nanoFarad capacitors at your disposal.
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Problem 6: Determine the Laplace transform of
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Problem 7: Determine the Laplace transform of
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Problem 8: Determine the Laplace transform of
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Problem 9: Determine the Laplace transform of
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Problem 10: Convert the following differential equation to s‐domain (take Laplace transform of both the sides and use the time derivative property)
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HW9_sol Page 16