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Transfer function g(s)=vo(s)/vi(s) is G(s) = s/2s +1
In frequency domain Inductor L transforms to sL and Capacitor C transforms to 1/sC using this ,the output voltage in frequency i.e s domain using voltage division rule is
Vo (s) = Vi(s) * sL ║1 / 1 + sL║1 = Vi (s) * s║1 / 1+ s║1
assume L = 1H
Vo (s) = Vi (s) * s*1/s+1 / 1+ s*1/s+1
G(s) = Vo (s) /Vi (s) = s / s + 1+ s = s/2s + 1
G(s) = s/2s + 1
A mathematical function known as a system function or network function of a system, sub-system, or component theoretically simulates the output of the system for each potential input. Electronics and control systems use them extensively. This function, which is sometimes called a transfer curve or characteristic curve, is a two-dimensional graph of an independent scalar input vs a dependent scalar output. In electronics and control theory, transfer functions for components are used to build and analyze systems that are constructed from components, particularly when utilizing the block diagram technique.
The transfer function's parameters and units simulate the output response of the device for a variety of potential inputs.
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