Can't argue with your math but I think there is a simpler way to look at it, something I should have brought up before. You need to consider 2 factors.
To make a match first look at ratio of source Zout to amp Zin. Convention says 1:10 minimum, I say closer to 1:100 is much better. In Pubul's case with 50 Zout and 100k Zin he is way above minimum at 1:2000.
Then pick a passive as low as you can get away with. At full volume (worst case) the combination of amp Zin and passive should be at least 10X source Zout but let's go with 100X. Pubul's 50 ohm source should see at least 5K so a 10K passive looks to be a great match. A 10K passive in parallel with the 100K amp is 9K.
For the reasons your math points out going with a passive much greater than required can cause problems just like going too low with too low being worse. That's why you see Placette building 9K passives. In Pubul's case many would argue a 50K pot is too high.
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To make a match first look at ratio of source Zout to amp Zin. Convention says 1:10 minimum, I say closer to 1:100 is much better. In Pubul's case with 50 Zout and 100k Zin he is way above minimum at 1:2000.
Then pick a passive as low as you can get away with. At full volume (worst case) the combination of amp Zin and passive should be at least 10X source Zout but let's go with 100X. Pubul's 50 ohm source should see at least 5K so a 10K passive looks to be a great match. A 10K passive in parallel with the 100K amp is 9K.
For the reasons your math points out going with a passive much greater than required can cause problems just like going too low with too low being worse. That's why you see Placette building 9K passives. In Pubul's case many would argue a 50K pot is too high.
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