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Homework 3

# Homework 3 - ECE 2100 Homework assignment 3 Due Spring 2010...

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ECE 2100 Spring 2010 Homework assignment 3 Due March 11, 2010 Covered: Chapters 5-7: Inductors and capacitors, Natural and step responses of RC and RL circuits, natural and step responses of RLC circuits, under, over and critically damped responses. 1) Prelab: Consider the following RC circuit and RL circuits: a. For the RC circuit, what its time constant? b. What will the RC step response be? Hint: what are I( ) and Vout( ) if Vin(t)=1V·u(t)? c. For the LC circuit, what its time constant? d. What will the LC step response be? Hint: what are I( ) and Vout( ) if Vin(t)=1V·u(t)? 2) Prelab: Consider the following RLC circuit which is driven by the function generator as shown below. Note that the 50 load which appears on the output of the function generator is also placed in the circuit diagram. The square wave transitions from zero to +1.0 V. a. What is the equivalent parallel resistance in this RLC circuit? b. Calculate the parameters α and ω 0 for this circuit and determine the type of response which v(t) will have. Is it under damped, over damped, or critically damped?

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