Impedance essentially can be viewed as frequency-dependent resistance. While resistance of a circuit is the instantaneous ratio between voltage and current, impedance of a circuit is the ratio between voltage and current for steady-state sinusoidal signals, which can vary with of frequency. As the later parts of this section will show, the voltage and current caused by applying a steady-state sinusoidal signal to any combination of resistors, capacitors, and inductors, are related by a constant factor and a phase shift. Therefore, impedance can be expressed by a complex constant using an extended version Ohm’s law.
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.
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