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09W-quiz-1-sol

# 09W-quiz-1-sol - ECE65(Winter 2009 Midterm 1 Notes 1 Write...

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ECE65 (Winter 2009), Midterm 1 Notes: 1. Write your answers on these three sheets. 2. For each problem, 20% of points are alloacted for the correct final answer. 3. Use the following information in designing circuits: OpAmps are powered by ± 15 V power supplies (power supplies not shown), have a unity-gain bandwidth of 10 6 Hz, a short-circuit current limit (maximum output current limit) of 50 mA, and a slew rate of 1 V/ μ s. In circuit design, use commercial resistor and capacitor values of 1, 1.1, 1.2, 1.3, 1.5, 1.6, 1.8, 2, 2.2, 2.4, 2.7, 3., 3.3, 3.6, 3.9, 4.3, 4.7, 5.1, 5.6, 6.2, 6.8, 7.5, 8.2, 9.1 ( × 10 n where n is an integer). You can also use only 10 mH inductors. Problem 1. Design a RLC bandpass filter with a lower cut-off frequency of 10 kHz and a bandwidth of 30 kHz. What is the center frequency and Q of this filter? (10pts) For a 2nd order band-pass filter: B (Hz) = f u f l f u = 10 + 30 = 40 kHz f 0 = radicalBig f u f l = 2 . 0 × 10 4 Hz B (Hz) = f 0 Q Q = f 0 B = 2 × 10 4 2 × 10 4 = 0 . 67 i o - + - + V V L C R Prototype of an RLC circuit is shown with: ω 0 = 1 LC B (rad/s) = R L Using L = 10 mH, we get: ω 0 = 2 πf 0 = 1

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