The continuous flow of electrons (electric current) is modulated by the incoming signal.
Like rotating the tap of water a few times until water flows adequately (this is a bias point) and then turning your hand clockwise anti clockwise following the input signal to be amplified. For example at a rate of 440 times per second clockwise anticlockwise clockwise if the input signal were 440Hz.
The grid of an electron tube behaves like a valve of flow. See other posts.
Similar arguments apply to the base of a transistor or the gate of a FET.
Power supply is the electric field potential difference creating the contineous electron flow, presure difference in the case of water flow.
Further reading:
Applied Electronics - T. S. Gray - MIT
Electronics - Neil Storey
A practical introduction to electronic circuits - Martin Hartley Jones
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