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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 unity-gainbandwidth of 106Hz, a maximum output current limit of 100 mA, and a slew rate of 1 V/μs.OpAmps are powered by±15 V power supplies (power supplies not shown),NPN Si transistors haveβ= 200,βmin= 100,rπ= 3 kΩ, andro= 100 kΩ.NMOS transistors haveK= 0.25 mA/V2andVt= 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 (×10nwherenis an integer). You can also use 5 mH inductors.Problem 1.In the circuit below, findvoin terms ofv1andv2(Assume OpAmps are ideal).(10 pts)V2V1R2R1R3VoV1VAVB++-Solution of ECE65 Final (Winter 2006)1
Problem 2.An OpAmp circuit containing only one OpAmp is attached to a 500 Ω load.(A) Design the OpAmp circuit such that if an input voltage ofVisin(ωt) is applied to thecircuit, the output voltage would be 4Visin(ωt) for a frequency range of DC to 100 kHz(Assume OpAmp is ideal for this part ONLY).(B) An input voltage ofVicos(105t) is applied to the circuit. What is the maximum valueofVifor the circuit to operate per its design specifications of part A. (10 pt)