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Network TheoryNetwork Functions

A complex-conjugate pole pair at s=-2 plus or minus j5 produces a natural response with an envelope proportional to?

  • Ae^(+2t)
  • Be^(-2t)
  • Ce^(-5t)
  • DA constant
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Correct Answer: B. e^(-2t)
Explanation: The real part of the poles determines the exponential envelope, so the oscillation decays as e^(-2t).
Reference: Standard network theory: complex poles
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