The Thorny Math of Impedance:
Nearly all ARC vacuum tube preamps are rated to drive a connected load (read amplifiers) of not less than 20,000 ohms (20K ohms). What does this mean? The output stage of a vacuum tube preamp has a high source impedance of (usually) several hundred ohms. Vacuum tubes, because of their inherently high internal resistance (known as impedance) compared to a transistor, are limited in their ability to supply current into a connected load. Solid state preamps, on the other hand, usually have a very low source impedance of< 100 ohms.
Now let's use a (tiny) bit of math to sort this out. When you connect more than one amplifier to a preamp, the loading on the preamp's output stage is considered in parallel.
That means each amplifier's input resistance (input impedance) is less than the individual load by some amount as expressed by the parallel resistance equation 1/ Z1 + 1 / Z2 = 1/ Z total, where Z = amplifier input impedance. An easy example: 100 Kohm+ 100 Kohm. Using the 1/X button on your kid's scientific calculator converts 100 Kohm to
.00001. Add .00001 + .00001 = .00002. Hit the 1/X key again and you have 50,000 ohms (SOK ohms). This is the
parallel impedance the preamplifier's output stage must drive.
Now let's take a real world example to see why adding a subwoofer or second amplifier to a vacuum tube preamp is problematic. The REFS SE is rated to drive not less than a 20K ohm load. A connected REF75 SE power amp presents the REFS SE with a 300 Kohm input impedance. Good so far. But say we connect a typical self-powered subwoofer to the second set of main outputs on the REFS SE. Our theoretical subwoofer has an input impedance of 20 K
ohm. Well, 20 Kohm is OK, right? Not so fast, audio tweaker! We must use the parallel resistance equation above: 1/ 300K ohm+ 1/ 20K ohm, or .000003333 + .00005 =.00005333. Hit 1/X and you have 18,750 ohms. This is below our minimum recommended load for the REFS SE.
It gets even worse: Many powered subwoofers have input impedances of 10K ohms. Plug this into the example above and your net parallel load on the REFSSE drops to 9677 ohms !