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# Evaluatethissystemsclosedloopbehaviorusingrootlocusana

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Unformatted text preview: 2 ! !   :E GH+,!(/!,H&gt;!/I/,&gt;6!,I5&gt;J! a. If the output is taken as the voltage across the capacitor, find the transfer function Vout(s)/V(s)  HE GH+,!(/!,H&gt;!/,&gt;+3I!/,+,&gt;!&gt;**-*!B-*!+!/,&gt;5!(.5K,J!!L//K6&gt;!M(.5K,!N!O!'P*+3!+.3!M/&gt;./-*!N!&amp;;!'P*+3E! assuming zero initial conditions.  (E QQ!1-.B(*6!,H(/!*&gt;/K2,!(.!#+,2+)!-*!9(6K2(.@!B-*!&gt;R,*+!S*&gt;3(,E! b. Given the same assumptions, find the state space representation of the circuit above.  This  ! representation should include both the state equation and the output equation.  &amp;E A*-T(3&gt;!+.!&gt;R+652&gt;!-B!+!UI5&gt;!C!,*+./B&gt;*!BK.S,(-.!VW/X!?(,H!+,!-.&gt;!.-.&quot;7&gt;*-!5-2&gt;!+.3!-.&gt;!.-.&quot;7&gt;*-! c. Draw the Bode plot for this system assuming R = 110 Ω, L = 10 H, C = 0.01 F.  7&gt;*-E!!Y-*!,H&gt;!)2-S@!3(+:*+6!/H-?.!)&gt;2-?0!?H+,!(/!,H&gt;!/,&gt;+3I!/,+,&gt;!&gt;**-*!B-*!+.!(.5K,!-B...
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