More than meets the eye?
I think this may be one of those questions that may seem trivially simple at first glance, but are actually deeper than they appear.
Take the matter of the output voltage of a simple transformer power supply (transformer, bridge rectifier). I made a simulation in LTspice (attached below), and this is what I found.
With a 2200µF filter capacitor, the output (according to LTspice) was 9.5V average, 9.56V RMS:
**broken link removed**
Without the filter capacitor, the output was only 6.46V average, 7.42V RMS. (Both were with a 10 Ω load; Kwame's load is actually bigger than this, as he said 6 amps, I think.)
**broken link removed**
So the filter capacitor actually increases both the average and RMS voltages. Just looking at the waveforms, this seems obvious (the area below the curve is larger with a capacitor). Who knew? (OK, maybe you did, but I didn't.)
By the way, this is also a very good demo of our good friend (not!) ripple.
Discuss amongst yourselves.