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Final+Review+Questions

Final+Review+Questions - EECS 70B Spring 2011 Review...

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Unformatted text preview: EECS 70B Spring 2011 Review Questions for the Final Exam 1. (10 pts) If ( ) cos f t t ϖ = , prove that 2 2 { ( )} ( ) s LT f t F s s ϖ = = + . Show the zeros and poles of F(s) on the s-plane. If f(t) represents voltage, what is the unit for F(s)? 2. (10 pts) The Laplace Transform has the property that ( ) { } ( ) (0 ) df t LT sF s f dt- =- . Apply this on an inductor having i-v relation of ( ) ( ) L L di t v t L dt = to obtain the circuit model for inductor in s- domain. 3. (10 pts) Consider a linear circuit having an impulse response, ( ) cos(4 ) ( ) t h t e t u t- = . (a) Find H(s) for this circuit. (b) Find y(t) if x(t) = u(t) using Laplace Transform method, assuming all initial conditions are 0. (c) Repeat (b) using convolution. 4. (25 pts) Consider the following circuit: Vs(t) R1 10 Ohm R2 10 Ohm C1 0.1 F- + Vo (a) For ( ) 10 ( ) t s v t e u t- = , find v o (t) for t > 0 with initial condition v c (0- ) = 5V using the Laplace Transform Method (b) If v s (t) is replaced by 10cos(2 ) ( )...
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Final+Review+Questions - EECS 70B Spring 2011 Review...

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