Homework 3 - ECE 2100 Spring 2011 Homework Assignment 3 Due...

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ECE 2100 Spring 2011 Homework Assignment 3 Due March 3, 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 RL circuit, what its time constant? d. What will the RL step response be? Hint: what are I( ) and Vout( ) if Vin(t)=1V·u(t)? RC circuit RL circuit 2) Prelab: Consider the following RLC circuit which is driven by the function generator as shown below. The square wave transitions from zero to +1.0 V. a. 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? b. Calculate ω d , if the circuit is under damped, then calculate the expected period of oscillation. c. Find an equation for v(t) for the step response. This corresponds to the transition where the function generator “switches" from zero volts up to V 0 at time t = 0. d. How small of a resistor (call it R 2 ) would have to be placed in parallel with the LC combination to achieve a critically damped response? I(t) I(t)
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3) Book problem 5.2 4) Book problem 5.14 5) Book problem 5.28 6) Book problem 5.29
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7) Book problem 6.8 8) You are part of a start-up developing a new form of USB-driven defibrillator for doctors who love their I-phones (I didn’t say it was good start up: during a recession you take what you can get). The idea is to use voltage step-up circuit to charge up a capacitor to more than 200 Volts, and then close a switch to discharge that capacitor across the heart
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Homework 3 - ECE 2100 Spring 2011 Homework Assignment 3 Due...

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