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Two students, Amy and Jeff, disagree about an analog system function given by H1(s) s.
Sensible Jeff claims the system has a zero at s 0. Rebellious Amy, however, notes that the system
function can be rewritten as H1(s) 1/s and claims that this implies a system pole at s oo. Who is
correct? Why? What are the poles and zeros of the system H2(s) 1/s?
Solution
H1(S)=S.
means that H1(S)=S/1.
so the system has a zero at S=0.
FOR A GIVEN TRANSFER FUNCTION, THE ROOTS OF THE NUMERATOR EQUATION
IS ZEROS OF THE SYSTEM AND THE ROOTS OF THE DENOMINATOR EQUATION IS
POLES OF THE SYSTEM.
H2(S)=1/S.
HERE THE SYSTEM HAS A POLE AT S=0.

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Two students, Amy and Jeff, disagree about an analog system function .pdf

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