Hello again,
In a word, "Fixed!".
Ok, that doesnt do this little project justice either
The parts came in today (much sooner than expected) so i pulled the other two caps and
soldered in the 5 new caps. Two were 1000uf 10v and two were 2200uf 10v and one was 2200uf 16v.
I tested the supply and this time the +12v line supports lots of current, and the power supply does not
turn off. Before the repair almost any load on the +12v line would cause the power supply to
immediately turn off. Although i have not yet tested it fully, i believe this tells me that it is now working
properly. Of course more tests would be nice too so my next question has to do with that...
When testing the various outputs, what ratio does the +3.3v and +5v lines have to the +12v line
with respect to current? In other words, it would not be good to load the +3.3v line with 10 ohms
(which is only around 300ma) while loading the +12v line with 12 amps for example, because that is
not how the power supply operates in the typical computer. Any ideas how these outputs should
be loaded for a 'proper' test?
BTW, here are some tests that were performed on the capacitors in question. The waveforms
tell the story as the bad cap has a huge amount of ripple while the good cap has very little.
Dont forget to compare the vertical scales in each figure as they are very different. The
bad cap has something like 100 times more ripple than the good cap.
The huge peak to peak ripple across the bad cap shows that it's capacitance is way too low now,
and the straight vertical part of the waveform (the vertical straight part is not curved but perfectly
straight up and down) shows the ESR of the cap, and we can see that the ESR of the bad cap
is much greater than the ESR of the good cap because the vertical part in the left waveform is
much longer than the vertical part in the right waveform, which is the resistive part showing up.

LEDs vs Bulbs, LEDs are winning.