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Unformatted text preview: Department of Electrical & Computer Engineering 94 Brett Rd. Piscataway NJ 08854-2820 332:222 Principles of Electrical Engineering II 1. Home-work due on Feb 15, 2011 No Kidding, all HW must be done by yourself 2. Print the enclosed HW and do all your work right on the printed sheets in the space provided for each aspect of the problem. Otherwise, it is not graded. 3. Write your name in legible CAPITAL LETTERS, otherwise HW is not graded. 4. Staple all the sheets that pertain to each HW problem separately. Each HW problem is graded separately, so do not staple different problems together. 5. Submit the HW at the beginning of class, HW is not accepted at the end of class. Late submission has the same effect as no submission. 6. To get credit, your submitted work must be self contained and easy to follow. All the directions of variables in a circuit must be marked, i.e. you must draw appropriate circuit or circuits and mark the variables and their directions. 7. Keep a copy of whatever you submit. Some of your HW may not be returned. Some of the unreturned HW will be looked at the time of giving the final grade especially when you are on the border of two letter grades. 8. Solutions of these HW problems will not be posted. However, you are encouraged to come to office hours to discuss any aspects related to these problems as well as any aspects of the course. Email correspondence about HW must be brief. It is time consuming to write lengthy email responses. Note that there are over 120 students enrolled in the course. 9. Like in the case of driving an automobile, laws of Circuit Analysis are simple and straightforward. However, it takes practice to be at home with Circuit Analysis. This is where doing HW plays a significant role. Principles of Electrical Engineering II Transfer Function of a Second Order LPF Op-Amp Circuit This is a home-work problem which will be collected and graded. 1 sC1 Vo Vg + Vg − G N R1 V1 R2 P 1 sC2 Vo − + Determine the transfer function of the ideal Op-Amp circuit shown where the output is Vo and the input is Vg . Express it in the form 2 Kωo H (s ) = 2 , 2 s + βs + ωo 2 and identify the values of K , β , and ωo in terms of the circuit parameters R1 , R2 , C1 , and C2 . ZL + Vo − Use Node Voltage Method of analysis. Note: You can intuitively justify the behavior of the circuit by considering the following aspects of the behavior of the capacitance. • At high frequencies, the capacitor impedance is zero (that is, it is basically a short circuit). • At low frequencies, the capacitor impedance is infinite (that is, it is basically an open circuit). ...
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