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Example 2: Find: Z(=? 1+j5× s plane J 1+j5 j5× a) (b) (a) The pole-zero constellation of some impedance Z(s) (b)a portion of the rubber-sheet model of the magnitude of z(s) s+2 Z(s)=k s+2 (s+1-j5)(s+1+j5) or Z(s)=k s2+2s+26 J:z(0)=1,∴1=k→k=13 Z(s)=13-+2 s2+2s+26Example 2: Find: Z(s)=? ( 1 5)( 1 5) 2 ( ) s j s j s Z s k + − + + + = 2 26 2 ( ) 2 + + + = s s s or Z s k 2 26 2 ( ) 13 2 + + +  = s s s 13 Z s 26 2 If : Z(0) = 1, 1 = k  k = (a) (b) (a) The pole-zero constellation of some impedance Z(s); (b) A portion of the rubber-sheet model of the magnitude of Z(s). j  − 2 −1+ j5 −1− j5 s plane j  −1+ j5
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