ee250_HW5_sol

# ee250_HW5_sol - s s s s s s f s s s s s s f s s s s = = = +...

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1 EE 250 Winter 2010 University of Alberta HOMEWORK 5 (due Monday Feb 8 th , 2010) Instructor : Karthik Shankar (Make sure your answers show the work in solving the problem. If the final answer is wrong, partial credit will be provided if the work is shown to have made progress towards the solution. Do not expect any credit if the T.A. cannot logically follow what you have put on your submitted homework) 1. Find the poles and zeros of the impedance seen looking into the terminals a,b of the circuit below. SOLUTION 2. Find the poles and zeros of the impedance seen looking into the terminals a,b of the circuit below. SOLUTION

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2 3. Finding Laplace Transforms a) b) SOLUTIONS a)
3 b) 4. Inverse Laplace Transforms of : a) b) SOLUTIONS

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4 (b)
5 5. Find the Initial and Final values of the time function f(t) if F (s) is given as : a) 2 3 2 2 3 2 0 0 ( 2 2) (0) Lim[ F( )] Lim 0 ( 6)( 4 8 4 _ ( 2 2) ( ) Lim[ F( )] Lim 0 ( 6)( 4 8 4 _ s s s s s s s f s s s s s s s s s f s s s s s s →∞ →∞ + + = = = + + + + + + ∞ = = = + + + + b) 2 2 0 0 (2 ) (0) Lim[ F( )] Lim 2 ( 2 3) _ (2 ) ( ) Lim[ F( )] Lim 0 ( 2 3) _

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Unformatted text preview: s s s s s s f s s s s s s f s s s s = = = + + = = = + + 6 6. Draw the pole-zero plot and determine the stability of the circuit given the following transfer function : 2 2 2 ( 3)[( 1) 16] ( ) ( 1) [( 2) 9] s s G s s s s-+ + = + + + SOLUTION 7. You are given the pole-zero plot of a transfer function H (s). Determine H(s) given H(0)=1 Ans : 2 2 6 8 ( ) 2 s s s s + + = + H 8. 7 8 9. There is no initial energy stored in the circuit below at the time the voltage source is energized. a) Find V and I b) Find v and i at time t SOLUTION 9 10. There is no initial energy stored in the circuit in any of the reactive components at the time the switch is closed. The sinusoidal current source is generating the signal 60 cos(4000t) mA. a) Find the transfer function g I I b) Find ( ) I s c) Find i(t) SOLUTION 10 [c]...
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## This note was uploaded on 12/20/2010 for the course E E 240 taught by Professor Shankar during the Spring '10 term at University of Alberta.

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ee250_HW5_sol - s s s s s s f s s s s s s f s s s s = = = +...

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