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clickerquiz5sec1 - 1 t x(e The particular solution for 2 t...

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Quiz #05.1 p.1 ECSE-2410 Signals & Systems - Fall 2007 Fri 09/21/07 1. The step response of an LTI system is   ) ( 1 t u e t y t step . Its impulse response is (a) ) ( 1 ) ( t u e t h t (b) ) ( ) ( t u e t h t (c) ) ( ) ( t u e t h t (d) ) ( ) ( t u t h (e) ) ( 1 ) ( t e t h t
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2. The particular solution of ) sin( 2 ) ( 2 ) ( t t y dt t dy is of the form (a) ) sin( ) ( 1 t k t y p (b) ) sin( ) ( 2 1 t e k t y t p (c) ) cos( ) sin( ) ( 2 1 t k t k t y p (d) ) cos( ) sin( ) ( 2 1 t k t k t y p (e) ) sin( ) ( 2 2 1 t k e k t y t p
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3. Which statement is TRUE. (a) , 1 ) 0 ( , 0 ) ( 2 ) ( y t y dt t dy has no solution, because 0 ) ( t x . (b) We cannot solve , 0 ) 0 ( ), ( 2 ) ( 2 ) ( y t t y dt t dy for the impulse response directly by classical methods. (c) To find the step response of ) ( 2 ) ( 2 ) ( t x t y dt t dy , let ) ( ) ( t t x and then use dt t dh t y step ) ( ) ( . (d) , 0 ) 0 ( ), ( 2 ) ( 2 ) ( y t x t y dt t dy has a solution only if
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Unformatted text preview: 1 ) ( t x . (e) The particular solution for ) ( 2 ) ( t y dt t dy is , ) ( 2 t Ae t y t p 4. The time constant, , for the step response shown is (a) (b) 1 (c) 2 (d) 3 (e) 4 1 2 3 4 5 6 7 8 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Initial ( t =0) slope ) ( t y step t 5. The response of the circuit shown to input is approximately (a) (d) (b) (e) (c) t 1 1 ) ( t x 2 t ) ( t y t ) ( t y 2 t ) ( t y 2 t ) ( t y 2 t 1 ) ( t y 1 2 C ) ( t y ) ( t x R...
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