Shown above is first a common alternative to the simplest tube mixer circuit and then its improvement. Each input source finds its own triode and all of the plates are tied together. This variation provides the needed isolation, but fails to provide an unity gain output. The obvious fix, reducing the plate resistor value until the gain drops to unity, adds too much distortion and too much power supply noise at the output. Fixing these problem compels a negative power supply. A negative rail allows for a much larger valued cathode resistor. With this new cathode resistor value, the gain drops to unity, the distortion disappears, and the power supply noise drops out of equation (with a small added twist that is). If plate and cathode resistor equal each other, then the anti-phase noise on the negative power supply rail is summed with the positive rail's noise at the plate and they cancel. But if these resistor match in value, the necessary voltage relationships within the circuit cannot exist. Adding one bypassed resistor completes the trick. This resistor's value is the same as all the cathode resistors placed in parallel. Thus, if eight inputs are needed, eight triodes and eight cathode resistors (for example, 80k) are also needed along with one 10k resistor. If you are thinking that what we actually have eight split-load phase splitters working into one common plate resistor, you are right. The functioning is the same and final use differs. Finding what is common in what is apparently different is the key to understanding tube circuits (and life).
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