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I'm familiar with this analogy:

"The voltage is equivalent to the water pressure, the current is equivalent to the flow rate, and the resistance is like the pipe size." -HowStuffWorks.com

Power comes to our house on high-voltage, low current lines. Through a transformer, it gets converted to lower voltage, higher current. Neglecting losses, power is conserved.

If current is the rate of flow of electrons and my high-voltage lines are therefore carrying few electrons/sec (low current) ... how can I possibly get more electrons/sec (high current) after the transformer stage?

I know that the analogy is not perfect but am I thinking of it incorrectly? Please help ... it's bugging me so much ...