Household wiring has sometimes used aluminium instead of

Chapter 18, Problem 6SL

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Problem 6SL

Household wiring has sometimes used aluminium instead of copper. (a) Using Table 18–1, find the ratio of the resistance of a copper wire to that of an aluminum wire of the same length and diameter. (b) Typical copper wire used for home wiring in the U.S. has a diameter of 1.63 mm. What is the resistance of 125 m of this wire? (c) What would be the resistance of the same wire if it were made of aluminum? (d) How much power would be dissipated in each wire if it carried 18 A of current? (e) What should be the diameter of the aluminum wire for it to have the same resistance as the copper wire? (f ) In Section 18–4, a statement is made about the resistance of copper and aluminum wires of the same weight. Using Table 10–1 for the densities of copper and aluminum, find the resistance of an aluminum wire of the same mass and length as the copper wire in part (b). Is the statement true?

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