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Network TheoryNetwork Functions

A pole of multiplicity two at s=-a produces a time-domain natural-response term containing?

  • AOnly e^(-at)
  • Bt e^(-at) in addition to e^(-at)
  • Csin(at) only
  • DA constant only
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Correct Answer: B. t e^(-at) in addition to e^(-at)
Explanation: A repeated pole of order two generates terms proportional to e^(-at) and t e^(-at).
Reference: Standard network theory: repeated poles
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