For the following systems, sketch the poles and zero(s) in the complex plane, circle the dominant pole(s), and find an approximation (if any) that contains at most two dominant poles. (Note: a single pole may be dominant) (a) G(s) = s+10 (s+.5)(²+35+25) s+100 (b) G(s) = (s+50)(¹+30+23)

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Chapter17: Resistive-inductive Series Circuits
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Please sketch poles and zeroes and circling the dominant pole(s). Also, show work required to reach the given solution for the approximation of each function.

1. For the following systems, sketch the poles and zero(s) in the complex plane, circle the dominant
pole(s), and find an approximation (if any) that contains at most two dominant poles. (Note: a single
pole may be dominant)
(a) G(s) =
s+10
(s+.5)(²+35+25)
s+100
(b) G(s) = (s+50)(²+35+25)
Transcribed Image Text:1. For the following systems, sketch the poles and zero(s) in the complex plane, circle the dominant pole(s), and find an approximation (if any) that contains at most two dominant poles. (Note: a single pole may be dominant) (a) G(s) = s+10 (s+.5)(²+35+25) s+100 (b) G(s) = (s+50)(²+35+25)
Solutions:
10
1. (a) Ĝ(s) = (10.5)(²+3=125)
2
(b) G(s) = 24+25
Transcribed Image Text:Solutions: 10 1. (a) Ĝ(s) = (10.5)(²+3=125) 2 (b) G(s) = 24+25
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