UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department EECS 40 Fall 2007 Prof Chang Hasnain Homework 6 Due at 5 pm in 240 Cory on Thursday 10 25 07 Total Points 100 Put 1 your name and 2 discussion section number on your homework You need to put down all the derivation steps to obtain full credits of the problems Numerical answers alone will at best receive low percentage partial credits No late submission will be accepted except those with prior approval from Prof Chang Hasnain Problems of this HW are from Hambley 4th Edition Series Resonance 23 pts 1 P6 73 6 pts 2 P6 74 6 pts 3 P6 80 11 pts Parallel Resonance 13 pts 4 6 83 7 pts 5 6 87 6 pts Second Order Filter 26 pts 6 6 89 8 pts 7 6 92 6 pts 8 6 97 12 pts You may sketch the Bode plot by hand What kind of filter is that Bonus Problem from Lecture 20 pts In Bode phase plots the phase always has a negative slope which represents a delay Why does d phi d omega having a negative slope represent a delay Page 1 of 3 UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department Operational Amplifiers 9 List characteristics of an ideal operational amplifier Search a schematic of a real operational amplifier How many primitive elements transistor resistors does it contain Why do we use such a complicated device for often quite trivial tasks 4 pts 10 Operational Amplifier 16 pts Calculate vo as a function of vA and vB On your way box in every equation you write down that does not follow algebraically from previous equations but rather uses a circuit analysis fact Page 2 of 3 UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department 11 Operational Amplifier 17 pts To measure the temperature in a furnace a temperature sensitive resistor RG is used The evaluation electronics need to be remote from the furnace due to the high temperatures The lines are modeled by the ohmic resistances RLi The following circuit shall be used to compensate the impact of the lines All operational amplifiers may be assumed to be ideal a Identify the basic configurations in which operational amplifiers 1 2 and 3 are used What is the purpose of operational amplifier 1 9 pts b Calculate vo in dependence on I and all resistances 8 pts On your way box in equations for Vout1 Vout2 Vin3 and Vo in terms of resistors and I and each other where you do not have a joint system of equations but simply a linear chain of dependencies so that plugging in would be easy c Imagine trying to find values for RL1 R1 R2 R6 so the affect of the lines is compensated This is not very hard if RL1 RL3 0 points Page 3 of 3
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