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Network TheoryNetwork Functions

For zero initial conditions, the output transform of an LTI network with transfer function H(s) and input X(s) is?

  • AY(s)=H(s)+X(s)
  • BY(s)=H(s)X(s)
  • CY(s)=H(s)/X(s)
  • DY(s)=X(s)-H(s)
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Correct Answer: B. Y(s)=H(s)X(s)
Explanation: By definition of the transfer function under zero initial conditions, H(s)=Y(s)/X(s), hence Y(s)=H(s)X(s).
Reference: Standard network theory: transfer function input-output relation
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