We have this tidbit from operative MC:
Sorry Czar, but have to go with Gort and El Guapo on this one.
An ampere is indeed a coulomb (~6x10^18 electrons) per second. However, the energy is not carried by the electrons themselves, it propagates down the wire as an electromagnetic field. Similar to how sound energy propagates through the air at 700 mph, though the air molecules themselves do not move that fast from the sound source to your ear.
Czar: Wattage is a measure of power. The pipe size would be ampacity, measured in gauge. Current, as in a river current, is definable as a rate.
MC: Wattage is power, but joules are energy. Wattage is energy per unit time (a joule is a watt-second). Wattage is the rate you're looking for, not the amperage. Energy is what's delivered to your home, not electrons. Amperage and voltage are the packaging.
So the nerd throwdown is in full effect at the castle - the Czar is so riled up he zapped Dat Ho and Sleestak. Since wattage (power) came up, I'll add that. In fact, it is a pretty basic formula: P=IV, where P is power measured in Watts, I is current measured in Amps and V is the potential difference measured in Volts.