Based on my paper, "Theory of the Capacitor--Third Revision", http://transpower.wordpress.com, I conducted an experiment to see whether energy conservation holds, rather than charge conservation, in the well-known two-capacitor problem. I used a Rigol 1102E oscilloscope, a Fluke 289 digital multimeter (the most accurate DMM available), and the Elenco SC-750R Electronic Snap Circuits. Capacitor one (electrolytic) has a nominal rating of 100 mu-F; the Fluke measured 102 mu-F. Capacitor two (also electrolytic) has a nominal rating of 470 mu-F; the Fluke measured 476 mu-F. The DC voltage source (lithium batteries) has a nominal rating of 4.5 V; the Fluke measured 5.44 V. The Reciprocal System predicted that with these values the voltage of the second capacitor (in parallel), after the switch is closed, would be 4.936 V; conventional theory says that it should be 4.48 V. The experimental result is 4.938 V; the difference being some residual voltage in the second capacitor. Before running the experiment, I shorted out both capacitors, before charging the first, opening the first set of switches, and then closing the second set of switches. I repeated this experiment several times with the same result. Note that it was difficult to get the voltages of the capacitors down to zero before running the experiment, but I managed to get them down to about 1 or 2 mV. Note also that because of capacitor leakage, it was important to set the Fluke to measure the maximum voltage in order to capture the value before leakage. I also measured the connecting resistance and the current to the second capacitor. The resistance was only .25 ohm, and the maximum current was only 3.864 mA. Joule heating loss (i^2 x R) is thus negligible.
Of course, my experiment will need to be replicated by other scientists. If it holds up it will mean that conventional electrical theory is dead wrong. The electrons in ordinary electrical circuits are actually uncharged, and there is therefore no conservation of charge. There has to be energy conservation! And that's what the Reciprocal System says, and what the experiment has shown.