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by nick__m 1760 days ago
many post like your's turn around those formulas

  V=RI and W=VI 
combined to give

  WireLossInWatt = RI²
assume a 120W bulb and a 2.5mm diameter 1km long copper conductor (around 7ohm).

  at 120V you need 1A so you lose 1²A² × 7ohms = 7W

  at 12V you need 10A so you lose 10²A² × 7ohms = 700W
That example with a small diameter long cable is a bit extreme but I hope it's illustrative