If this is maintained, but voltage changed from 480V to 240V, by what ratio will supply line losses change?
Power voltage x current Therefore current power/voltage. Thus, if power is constant at 2000kW current at 480 volts will be: I 2000,000/480 4166.67amps At 240 volts: I 2000,000/240 8333.33 amps However, line losses are current (squared) x resistance Thus the ratio will be 4166.67 (squared) / 8333.33 (squared), resistance remaining constant of course. I make that 0.25 (or 4, if you are thinking that way up!) That help?
