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ECE102_W09_Final

# ECE102_W09_Final - ECE 102 Winter 2009 Student ID Name(Last...

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ECE 102, Winter 2009 Final 1 of 4 Student ID Name (Last, First) Question 1 (2 + 2 + 2 = 6 points): Consider a feedback system with open loop gain A(s) and feedback factor β (s) . The Bode plots of A(s) are shown below. For this question, you may assume these Bode plots are sufficiently accurate approximations of the exact frequency response. (a) If (s) = 5 10 -5 , what is the gain margin? Is this system stable (and why)? (b) If (s) = 1, what is the phase margin? Is this system stable (and why)? (c) If (s) = 3 10 -6 , what is the gain-bandwidth of the closed loop system A f ? Before you start the exam, fill out your name and student ID, and do the same on the answer pages. Do not take these pages apart , except for the equation sheet (which you may detach). Do NOT write on these question pages , except for your name and student ID. If you would write on them (even simple scribbles) and we find these pages on the table next to you, this may be considered cheating. QUESTIONS 10 1 10 4 10 7 <A ω (rad/s) -90 ° 0 ° -180 ° -270 ° 10 1 10 4 10 7 | A | (dB) (rad/s) 140 0 80

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ECE 102, Winter 2009 Final 2 of 4 V thp = -1 V k p = 10 -3 A/V 2 λ
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ECE102_W09_Final - ECE 102 Winter 2009 Student ID Name(Last...

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