Web Reference: Tutorial on how to calculate (determine) the transfer function of a dynamic system for control theory purposes The transfer function is a mathematical model for a circuit Describes the input-to-output relationship Laplace-domain expression – algebraic An alternative to the differential-equation model Can use the transfer function to determine a circuit’s output in response to a particular input VV吶ᨬ = VV吶ᨬ⋅ GG吶ᨬ = 吶ᨬ Theorem 1. Any bounded, linear, causal, time-invariant system, G, has a Transfer Function, ^G, so that if y = Gu, then ^y(s) = ^G(s)^u(s) There are several ways of nding the Transfer Function.
YouTube Excerpt: In this video I have solved a circuit containing inductor and capacitor using Laplace transform applications.

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