tut 3 (1) SE

# tut 3 (1) SE - EET309 Tutorial 3 1. For each of the...

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EET309 Tutorial 3 1. For each of the transfer function shown below, find the locations of the poles and zeros. Plot them on the s-plane. (a) 6 5 1 2 + + + s s s (b) ) 45 8 ( 1 4 2 + + + s s s s (c) 24 6 1 2 - - - s s s (d) ) 5 )( 2 ( ) 7 ( 2 + + + s s s s (e) 3 2 4 2 + + s s 2. Write the transfer functions and expressions for the systems which have the dc gains, the poles and zeros shown below: (a) Dc gain = 4 ; Zero = None ; Poles = 0, -5, -2 (b) Dc gain = 1 ; Zero = 0 ; Poles = 1, -3, -8 (c) Dc gain = 20 ; Zero = -1 ; Poles = 0, -3 ± j 2, -5 3. For each of the transfer function shown below, find the output response for the given input: (a) ) 2 )( 1 ( 1 ) ( ) ( + + = s s s R s Y , 1 ) ( = s R (b) ) 2 )( 1 ( 1 ) ( ) ( + + = s s s R s Y , s s R 1 ) ( = (c) ) 5 )( 3 ( 5 . 0 ) ( ) ( + + + = s s s s R s C , 1 ) ( = s R (d) ) 2 ( 1 ) ( ) ( + = s s s R s Y , s s R 1 ) ( =

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EET309 Tutorial 3 4. Find the first and last values for functions below. Find the order and type for each of the function. (a)
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## tut 3 (1) SE - EET309 Tutorial 3 1. For each of the...

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