# Homework9 - with positive feedback with all resistors 1k...

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UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department Page 1 of 2 EECS 40/42/100, Spring 2007 Prof. Chang-Hasnain Homework #9 Due at 6 pm in 240 Cory on Wednesday, 04/04/07 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 expect those with prior approval from Prof. Chang-Hasnain. 1. Hambley, P14.33 2. Hambley, P14.39 3. Hambley, P14.52 4. Hambley, P14.63 5. Hambley, P14.67 6. Hambley, P10.7 7. Hambley, P10.16 8. Hambley, P10.20 9. Hambley, P10.21 10. Hambley, P10.33 and P10.34a. 11. (EE 40 only – this is problem 10 from homework 8) Consider the following circuit

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Unformatted text preview: with positive feedback, with all resistors 1k, and the capacitor 1uF. 9V 4.5V Vout UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department Page 2 of 2 a) Suppose the capacitor is initially charged to -4.5V. What is V out (0)? b) Assuming this V out does not change for some period of time (call the first time at which is changes t 1 ), Derive expressions for V + (t) and V-(t) for 0<t<t 1 . c) What is the value of t 1 ? (Hint: How does V out depend on V + and V-?) d) Now that V out has changed, Derive new expressions for V + (t) and V-(t) for t 1 <t<t 2 ., where t 2 is the next time V out changes. e) What is the value of t 2 ? f) Plot V + (t), V-(t), and V out (t) for t ranging from 0 to 5ms. g) What function does this circuit perform?...
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