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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?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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