Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 27, Problem 79AP
To determine
The resistance of the wire.
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Gold is the most ductile of all metals. For example, one gramof gold can be drawn into a wire 2.40 km long. The density ofgold is 19.3 x 103 kg/m3, and its resistivity is 2.44 x 10-8 Ω ⋅ m.What is the resistance of such a wire at 20.0°C?
As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with uniform cross-section. You use up 95% of the copper and make a wire with a resistance of 0.893 Ω. The resistivity of copper is 1.72 10-8 Ω · m and its density is 8.92 103 kg/m3.
What length of wire do you end up with?
What is the diameter of the wire?
An aluminum wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.630 Ω. At 20°C, the resistivity of aluminum is 2.82 ✕ 10−8 Ω · m and its density is 2,700 kg/m3.
How long (in m) is the wire?
What is the diameter (in mm) of the wire?
Chapter 27 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 27.1 - Consider positive and negative charges of equal...Ch. 27.2 - Prob. 27.2QQCh. 27.2 - Prob. 27.3QQCh. 27.4 - When does an incandescent lightbulb carry more...Ch. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1OQCh. 27 - Prob. 2OQCh. 27 - Prob. 3OQCh. 27 - Prob. 4OQCh. 27 - Prob. 5OQ
Ch. 27 - Prob. 6OQCh. 27 - Prob. 7OQCh. 27 - Prob. 8OQCh. 27 - Prob. 9OQCh. 27 - Prob. 10OQCh. 27 - Prob. 11OQCh. 27 - Prob. 12OQCh. 27 - Prob. 13OQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQCh. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 1PCh. 27 - A small sphere that carries a charge q is whirled...Ch. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - The quantity of charge q (in coulombs) that has...Ch. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - A wire 50.0 m long and 2.00 mm in diameter is...Ch. 27 - A 0.900-V potential difference is maintained...Ch. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - While taking photographs in Death Valley on a day...Ch. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - At what temperature will aluminum have a...Ch. 27 - Assume that global lightning on the Earth...Ch. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - The potential difference across a resting neuron...Ch. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - Prob. 43PCh. 27 - Prob. 44PCh. 27 - Prob. 45PCh. 27 - Prob. 46PCh. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - Prob. 52PCh. 27 - Prob. 53PCh. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - Prob. 56PCh. 27 - Prob. 57APCh. 27 - Prob. 58APCh. 27 - Prob. 59APCh. 27 - Prob. 60APCh. 27 - Prob. 61APCh. 27 - Prob. 62APCh. 27 - Prob. 63APCh. 27 - Review. An office worker uses an immersion heater...Ch. 27 - Prob. 65APCh. 27 - Prob. 66APCh. 27 - Prob. 67APCh. 27 - Prob. 68APCh. 27 - Prob. 69APCh. 27 - Prob. 70APCh. 27 - Prob. 71APCh. 27 - Prob. 72APCh. 27 - Prob. 73APCh. 27 - Prob. 74APCh. 27 - Prob. 75APCh. 27 - Prob. 76APCh. 27 - Review. A parallel-plate capacitor consists of...Ch. 27 - The dielectric material between the plates of a...Ch. 27 - Prob. 79APCh. 27 - Prob. 80APCh. 27 - Prob. 81APCh. 27 - Prob. 82CPCh. 27 - Prob. 83CPCh. 27 - Material with uniform resistivity is formed into...Ch. 27 - Prob. 85CP
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- An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.arrow_forwardTaking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49arrow_forwardExplain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.arrow_forward
- Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.38 km long. The density of gold is 19.3 ✕ 103 kg/m3, and its resistivity is 2.44 ✕ 10−8 Ω · m. What is the resistance of such a wire at 20.0°C?MΩarrow_forwardWhat is the resistance (in units of Q) of a wire made of a material with a resistivity of 3.2 × 10-8 0 . m , if its length is 36.4 m and its diameter is 0.50 mm?arrow_forwardGold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.15 km long. The density of gold is 19.3 ✕ 103 kg/m3, and its resistivity is 2.44 ✕ 10−8 Ω · m. What is the resistance of such a wire at 20.0°C? ??? MΩarrow_forward
- A coaxial cable consists of an inner conductor with radius ri = 0.25 cm and an outer radius of ro = 0.5 cm and has a length of 10 meters. Plastic, with a resistivity of ρ = 2.00 × 1013 Ω · m , separates the two conductors. What is the resistance of the cable?arrow_forwardTwo wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.816Ω. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 10-8 Ω·m, and that of aluminum to be 2.82 x 10-8 Ω·m.arrow_forwardA copper wire of length 2.5 m and cross-sectional area 2.4 x 10-7 m2 has a resistivity of 1.7 x 10-8 Ω m. What is the resistance of the wire?arrow_forward
- A 4.0 m length of gold wire is connected to a 1.5 V battery, and a current of 4.0 mA flows through it. What is the diameter of the wire? (The resistivity of gold is 2.44 × 10-8 Ω·m)arrow_forwardAn extension cord has a resistivity of p = 7.5 x 10-8 Ω.m. The cord is made from copper wire with a diameter D = 0.45 cm and it is L = 9.9 m long. (a) What is the resistance in ohms? R = (b) If a current of I= 2.95 A passes through the wire what voltage is the cord connected to, in volts? V=arrow_forwardGold is the most ductile of all metals. For example, 2 gram of gold can be drawn into a wire 2.4 km long. The density of gold is 19.3 x 103 kg/m3, and its resistivity is 2.44 x 10-8 Vm. What is the resistance of such a wire at 20.0°C? 2984 Ohms 1356 Ohms 1356250 Ohms 565Ohmsarrow_forward
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