Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 27, Problem 31P
(a)
To determine
The current in the wire at
(b)
To determine
The current in the wire at
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(a) A 33.5-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.)
(b) If the wire is heated to 32.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
The current passing through a copper wire is I=20 A. The resistivity of copper at room temperature is given as
p = 1.7 x 10-8m. The cylindrical wire has a length of L=30 m and a diameter of D=3,7 mm. Take = 3.
b) Calculate the magnitude of the external electric field required to generate this current, in mV/m.
A spool of copper wire 290 m long and with a diameter of 0.440 mm is at 20.0°C. For copper, the resistivity is
1.70 x 10 8 .m and the temperature coefficient of resistivity is 3.90 x 10- (°C)-1.
(a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.550 A?
V/m
(b) What is the electric power (in W) delivered to the spool while it carries a current of 0.550 A?
W
(c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the
temperature is increased to 400°C?
W
Chapter 27 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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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- Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the currentdensity is modeled as J=cr2=5.00106Am4r2 . Whatis the current through the inner section of the wire from the center to r = 0.5R?arrow_forwardA spool of copper wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For copper, the resistivity is 1.70 x 10-8 0. m and the temperature coefficient of resistivity is 3.90 x 10-3 (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.550 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.550 A? Warrow_forwardQuestion 1. A 34.5 m length of copper wire at 20.0°C has a radius of 0.25 mm. If a potential difference of 9.0 V is applied across the length of the wire, determine (a) the current in the wire. (b) If the wire is heated to 30.0°C while the 9.0 V potential difference is maintained, what is the resulting current in the wire?arrow_forward
- determine the current in the wire. (Use the values in the following table.) If the wire is heated to 34.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?arrow_forwardA rectangular block of copper has sides of length 17 cm, 23 cm, and 41 cm. If the block is connected to a 7.7 V source across two of its opposite faces, find the following. (a) What is the maximum current the block can carry?(b) What is the minimum current the block can carry?arrow_forward(a) A 33.5-m length of copper wire at 20.0°C has a radius of 0.29 mm. If a potential difference of 8.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivitya (0 · m) Temperature Coefficient of Resistivityb a [(°C)-l] Material Silver 1.59 х 10-8 3.8 x 10-3 Copper 1.7 x 10-8 3.9 x 10-3 Gold 2.44 x 10-8 3.4 X 10-3 Aluminum 2.82 x 10-8 3.9 x 10-3 Tungsten 5.6 x 10-8 4.5 x 10-3 Iron 10.0 x 10-8 5.0 x 10-3 Platinum 11 x 10-8 3.92 x 10-3 Lead 22 x 10-8 3.9 x 10-3 Nichrome 1.00 x 10-6 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicond 2.3 x 103 -75 x 10-3 Glass 1010-1014 Hard rubber 1013 Sulfur 1015 Quartz (fused) 75 x 1016 (a) All values at 20°C. All elements in this table are assumed to be free of impurities. (b) See the section "Resistance and Temperature". (c) A nickel-chromium alloy commonly used in heating elements. The resistivity of Nichrome varies with composition and ranges between…arrow_forward
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