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Network TheoryNetwork Functions

A transfer function has poles at -1 and -10. Which pole normally dominates the long-time response if its mode is present?

  • APole at -10
  • BPole at -1
  • CBoth always decay at identical rates
  • DNeither pole affects settling
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Correct Answer: B. Pole at -1
Explanation: The pole closest to the imaginary axis, -1, has the slowest exponential decay and therefore dominates the long-time response.
Reference: Standard network theory: dominant pole
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