Quiz_III_Solution

# Quiz_III_Solution - 2 3 2 = s s s s F Problem 3 10 points...

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Quiz III (Oct. 17, 2008) ECE2040B: Circuits Analysis, Fall 2008 School of Electrical and Computer Georgia Institute of Technology Name: ___________________________ Email: ________________________________ It is a closed book test. However, one page (8½’’X11’’) of HAND-WRITTEN notes is permitted. 1 (10pt) 2 (10pt) Total (30pt) 3 (10pt) Bonus (5pt)

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Table 1 : Important Laplace Transform Pairs Table 2 : Laplace Transform Properties
Problem 1 ( 10 points ): Find the Laplace transform of the function, ( )( ) 1 2 = t u te t f t .

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Problem 2 ( 10 points ): Find the inverse Laplace transform of the function,

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Unformatted text preview: ( ) 2 3 2 + + = s s s s F . Problem 3 ( 10 points ): Solve the following differential equation using Laplace transform ( ) ( ) ( ) t t i dt t di cos = + with initial condition: ( ) . 1 = i Bonus Problem ( 5 points ) Denote the Laplace transform of ( ) t f to be ( ) s F . Find the Laplace transform of ( ) ( ) ( ) ( ) ( ) 1 1 1 cos 2 − − + + = t u t f t t t g . ( Please note that no partial credit for the bonus problem. Only those who get the correct final answer receive bonus points. The final answer will be in terms of ( ) s F )...
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Quiz_III_Solution - 2 3 2 = s s s s F Problem 3 10 points...

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