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The correct order in which time domain response is obtained for a network

I. Laplace transform
II. Differential equation
III. Time domain response
IV. Network

  • A.I, II, III, IV
  • B.II, III, IV, I
  • C.III, IV, II, I
  • D.IV, II, I, III

Answer: D

The correct order is network, differential equation, Laplace transform, time domain response, which is IV, II, I, III, option (D). We start from the network and write its differential equation by applying Kirchhoff's laws. The Laplace transform turns that equation into an algebraic one, which is solved for the output. The inverse transform then gives the time domain response. Option (A) begins with the transform before there is an equation to transform. Option (B) puts the response before the network. Option (C) begins with the response, which is the end of the work.

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