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Unformatted text preview: Solution of ECE65 Final (Winter 2006) Notes: 1. For each problem, 20% of points is for the correct final answer. 2. Messy, incoherent papers lose point! Explain what you are doing! 3. Use the following information in solving or designing circuits: OpAmps have a unitygain bandwidth of 10 6 Hz, a maximum output current limit of 100 mA, and a slew rate of 1 V/ s. OpAmps are powered by 15 V power supplies (power supplies not shown), NPN Si transistors have = 200, min = 100, r = 3 k, and r o = 100 k. NMOS transistors have K = 0 . 25 mA/V 2 and V t = 2 V. In circuit design, use 5% tolarence 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 5 mH inductors. Problem 1. In the circuit below, find v o in terms of v 1 and v 2 (Assume OpAmps are ideal). (10 pts) V 2 V 1 R 2 R 1 R 3 V o V 1 V 2 V A V B + _ + + Both OpAmps have negative feedback, so v p 1 = v n 1 = v 1 and v p 2 = v n 2 = v 2 . Then, by nodevoltage method: v 1 v 2 R 2 + v 1 v A R 1 = 0 v A = v 1 1 + R 1 R 2 v 2 R 1 R 2 v 2 v 1 R 2 + v 2 v B R 3 = 0 v B = v 1 R 3 R 2 + v 2 1 + R 3 R 2 Then: v o = v A v B = v 1 1 + R 1 R 2 + R 3 R 2 v 2 1 + R 1 R 2 + R 3 R 2 v o = ( v 1 v 2 ) 1 + R 1 + R 3 R 2 Solution of ECE65 Final (Winter 2006) 1 Problem 2. An OpAmp circuit containing only one OpAmp is attached to a 500 load. (A) Design the OpAmp circuit such that if an input voltage of V i sin( t ) is applied to the circuit, the output voltage would be 4 V i sin( t ) for a frequency range of DC to 100 kHz (Assume OpAmp is ideal for this part ONLY). (B) An input voltage of V i cos(10 5 t ) is applied to the circuit. What is the maximum value of V i for the circuit to operate per its design specifications of part A. (10 pt) V o V i R L R 1 R 2 + Part A: First, we find the transfer function of the circuit: H = v o v i = 4 Since H is independent of frequency, this circuit is an am plifier. Because there is no phase shift between input and output, it should be a noninverting amplifier. Prototype of the circuit is shown with A = 1 + R 2 R 1 Setting A = 4 and choosing R 1 = 10 k, we find R 2 = 30 k (both commercial values)....
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 Winter '08
 najamanverde

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