summer 2004 EE 3120 test #2

# summer 2004 EE 3120 test #2 - Name EE 3120 SSN Some trig...

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Name:_____________________________________ EE 3120 Test # 2 SSN:_______________________________________ Summer 2004 Some trig identities: 2 1 cos ( ) (1 cos2 ) 2 α = + 1. Considering that we can perform a complete circuit analysis in the time domain, (for an RLC circuit for example) why is the Laplace transform sometimes used in instead? 2. Given f ( t ), find F( s ) and the region of convergence of s . a. 2 ( ) 1 sin t f t t e t - = + + b. 2 ( ) cos (5 ) f t t = 3. Use the initial value theorem to determine the value of (0 ) f + for the following transfer function. 2 3 2 (3 6)( 2) ( ) ( 5 7 3) s s H s s s s s - - = - + +

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4. Given F( s ), find a real valued function f ( t ). 2 ( ) ( 1)( 2 5) s F s s s s = + + +
5. Find the output y ( t ) using either graphical convolution of u ( t) and h ( t ), or using the Laplace transform. ( ) ( ) ( 1) ( ) 2 ( )

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## This note was uploaded on 02/06/2012 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

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summer 2004 EE 3120 test #2 - Name EE 3120 SSN Some trig...

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