Exam 3 Part 1 ans

Exam 3 Part 1 ans - fwphelps@syr.edu- icl.syr.edu – Exam...

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Unformatted text preview: fwphelps@syr.edu- icl.syr.edu – Exam 3_P1 ELE232 – Electrical Fundamentals II – 11APR2008 Exam 3 – Part 1 - Answers Problem 1 : The circuit shown is called a quadrature oscillator. If the output signal V (s) can travel around the loop and return exactly as it left, then the circuit can produce a single frequency sine wave voltage. The condition for oscillation is given by H 1 (s) • H 2 (s) • H 3 (s) • V (s) = V (s) . (a) Find an expression for H 1 (s) . H 1 (s) = " 1 RCs (b) Find an expression for H 2 (s) . H 1 (S) = 1 CS 1 CS + R = 1 RCs + 1 . (c) Find an expression for H 3 (s) . H 3 (s) = 1 + 1 RCs = RCs + 1 RCs (d) Form H 1 (s) • H 2 (s) • H 3 (s) • V (s) = V (s) and discover the values of ‘s’ that satisfies this relationship. " 1 RCs • 1 RCs + 1 • RCs + 1 RCs # $ % & ’ ( V (s) = V (s) . 1 RCs " # $ % & ’ 2 ¡ ( 1 . s 2 ¡ " 1 RC # $ % & ’ ( 2 . s = ± j 1 RC . (e) When the circuit it oscillating, V (t) = A sin( ! t) . What is ω ? Write an expression for V 1 (t) . Based on this result, give a reason why this circuit is called a quadrature oscillator . " ¡ 1 RC ....
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This note was uploaded on 05/08/2008 for the course ELE 232 taught by Professor Phelps during the Spring '08 term at Syracuse.

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Exam 3 Part 1 ans - fwphelps@syr.edu- icl.syr.edu – Exam...

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