Different types of wire are rated according to their gauge. Each gauge corresponds to a different cross-sectional area bya complicated formula that is unimportant for our purposes. In the American Wire Gauge (AWG) system, the smaller thegauge, the larger the diameter of the wire. A #10 AWG wirehas a diameter of 0.100 in. The Underwriters Laboratories,Inc. (UL), which sets many safety standards for the United States,requires that this gauge of copper wire should carry no more than55.0 A in power transmission applications in order to prevent thepossibility of it becoming too hot and causing a fire.
a. What is the resistance of 1,000.0 ft of #10 AWG copperwire?
b. At what rate would heat energy be dissipated by this lengthof #10 AWG copper wire if it is required to carry the maximum ratedcurrent of 55.0 A?