For DC signals, the linearity of the system implies that H is independent of Vin. For dynamic signals, the transfer function cannot in general be described simply. However, if the input is a sinusoidal signal then the output must also be a sinusoidal signal with the same frequency but possibly a different amplitude and phase. In other words, a linear system can only modify the amplitude and phase of a sinusoidal input.
Impedance is one of the most important concepts in electronic circuits. The purpose of impedance is to generalize the idea of resistance to create a component. To capture the behavior of resistors, capacitors, and inductors, for steadystate sinusoidal signals. This generalization is motivated by the fact that as long as the circuit is linear, its behavior can be analyzed using KVL and KCL.
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