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.
In some circuits, there are virtual grounds, which are nodes at the same voltage as ground, but are not connected to a power supply. When current flows into the virtual ground, the voltage at the virtual ground may change relative to the real ground, and the consequences of this situation must be analyzed carefully.
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