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Parasitic power theft: A power line running East-West at 150kVAC carrying a 75 MWatt load is 10...

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Physics

Parasitic power theft:

A power line running East-West at 150kVAC carrying a 75MWatt load is 10 meters overhead. A thief makes a 100 turn loop ofinsulated copper wire around a plastic garbage can with a 70cmdiameter. The voltage generated in this coil is used to chargebatteries for a fish-finder, lights and radio in his fish hut. Thebattery charger is electrically equivalent to a 5 ohmresistor.

a) What orientation of the garbage pail winding willallow the greatest rate of electricity theft?

b) Determine the voltage generated across the batterycharger.

c) Residential power costs $0.10/kWh. What is the valueof the power stolen per day.

d) Why would metal can be a bad choice?


e) Above the indication is that the other wire for the ACpower transmission is very far away. In fact they both hang fromthe same structure. If each wire carries a 100amp current and theyare separated by 50cm, determine the force per unit length on thewires

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