Because current always flows in loops, input and output each need two terminal. A transistor only has three terminals so one must be "in common". Once you pick the common terminal the other two are constrained because the transistor only has gain one way. This this leads to the classification of the three basic topologies of single transistor amplifier: common emitter, common collector, and common base. There are also FET and vacuum tube equivalents with different names but the same topology.
Thank you all for your insights.
From what I gather, the term 'common' in these configurations relates to AC analysis, where the power supply is effectively a short circuit for signal paths. Consequently, for AC signals, the collector is common to both the input and output, which contrasts with a DC analysis perspective. However, I'm still not clear on what the AC signal paths would look like in this circuit. Perhaps examining a circuit specifically designed for AC amplification would help? In a DC analysis, it appears to me that the currents overlap at the emitter, as shown in the figure below. This is likely always the case for any NPN-transistor configuration, as magic pointed out in a recent post.
Could someone clarify how the AC signal paths differ from the DC current loops I've drawn? Following magic's suggestion, I have tried to read about FET-amplifiers on this page:
https://www.electronics-notes.com/articles/analogue_circuits/fet-field-effect-transistor/fet-circuit-configurations.phpHowever, it is not clear to me how they work either. I do not understand what the N-channel and P-channel are, or even where the power for amplification comes from. Perhaps someone can suggest a more basic introduction?
Additionally, ejeffrey mentioned 'gain one way,' and I do not fully understand what this means. How does this concept relate to signal amplification in the transistor, and how does it influence our understanding of 'common' terminals?
While it seems we can often identify the common terminal in practice as the one directly connected to a power source or ground, as suggested by magic, it does not seem to always work. Here is an example of a common emitter amplifier where neither terminal is directly connected to the power source or ground, with one terminal connected to the power source through a resistor and the other to ground through a resistor and a capacitor in parallel.
https://www.electronics-tutorials.ws/amplifier/amp_2.htmlAs you can tell, these basic concepts are rather difficult for me to grasp, and I very much appreciate your help in sorting them out!