SK Chapter 17 : problems 1, 5, 12, 20, 24, 25, 26, 43, 44, 45, 70 Plus, the following three problems. P1 Wire A and wire B are made of the same material and have the same length. The diameter of wi... re A is twice the diameter of wire B. If the resistance of wire B is R, then what is the resistance of wire A? (Neglect any effects that temperature may have on resistance.) (a) R, (b) 2R, (c) R/2, (d) 4R, (e) R/4, Picture the Problem The resistances of the wires are given by R = ρL A , where L is the length of the wire and A is its cross-sectional area. Because the resistance of a wire varies inversely with its cross-sectional area and its cross-sectional area varies with the square of its diameter, the wire that has the larger diameter will have a resistance that is one fourth the resistance of the wire that has the smaller diameter. Because wire A has a diameter that is twice that of wire B, its resistance is one-fourth the resistance of wire B. (e) is correc [Show More]
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