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Network TheoryNetwork Synthesis

For a positive-real rational function, any poles on the j-omega axis must be?

  • AMultiple with complex residues
  • BSimple with real nonnegative residues
  • CAlways double poles
  • DLocated only in the right-half plane
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Correct Answer: B. Simple with real nonnegative residues
Explanation: A positive-real function may have simple imaginary-axis poles, and their residues must be real and nonnegative.
Reference: Standard network theory: positive-real pole condition
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