Physics for Scientists and Engineers, Volume 1, Chapters 1-22
8th Edition
ISBN: 9781439048382
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 27, Problem 27.31P
(a)
To determine
The current in the wire.
(b)
To determine
The resulting current 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, Volume 1, Chapters 1-22
Ch. 27 - Consider positive and negative charges of equal...Ch. 27 - Prob. 27.2QQCh. 27 - Prob. 27.3QQCh. 27 - When does an incandescent lightbulb carry more...Ch. 27 - For the two lightbulbs shown in Figure 27.13, rank...Ch. 27 - Car batteries are often rated in ampere-hours....Ch. 27 - Prob. 27.2OQCh. 27 - A cylindrical metal wire at room temperature is...Ch. 27 - Prob. 27.4OQCh. 27 - A potential difference of 1.00 V is maintained...
Ch. 27 - Three wires are made of copper having circular...Ch. 27 - A metal wire of resistance R is cut into three...Ch. 27 - A metal wire has a resistance of 10.0 at a...Ch. 27 - The current-versus-voltage behavior of a certain...Ch. 27 - Two conductors made of die same material are...Ch. 27 - Two conducting wires A and B of the same length...Ch. 27 - Two lightbulbs both operate on 120 V. One has a...Ch. 27 - Wire B has twice the length and twice the radius...Ch. 27 - If you were 10 design an electric healer using...Ch. 27 - Prob. 27.2CQCh. 27 - When the potential difference across a certain...Ch. 27 - Over the lime interval after a difference in...Ch. 27 - How does the resistance for copper and for silicon...Ch. 27 - Use the atomic theory of matter to explain why the...Ch. 27 - If charges flow very slowly through a metal, why...Ch. 27 - Newspaper articles often contain statements such...Ch. 27 - Prob. 27.1PCh. 27 - A small sphere that carries a charge q is whirled...Ch. 27 - Prob. 27.3PCh. 27 - In the Bohr model of the hydrogen atom (which will...Ch. 27 - A proton beam in an accelerator carries a current...Ch. 27 - Prob. 27.6PCh. 27 - Prob. 27.7PCh. 27 - Figure P26.6 represents a section of a conductor...Ch. 27 - The quantity of charge q (in coulombs) that has...Ch. 27 - A Van de Graaff generator (see Problem 24)...Ch. 27 - The electron beam emerging from a certain...Ch. 27 - An electric current in a conductor varies with...Ch. 27 - A teapot with a surface area of 700 cm2 is to be...Ch. 27 - A lightbulb has a resistance of 240 when...Ch. 27 - Prob. 27.15PCh. 27 - A 0.900-V potential difference is maintained...Ch. 27 - An electric heater carries a current of 13.5 A...Ch. 27 - Prob. 27.18PCh. 27 - Prob. 27.19PCh. 27 - Prob. 27.20PCh. 27 - A portion of Nichrome wire of radius 2.50 mm is to...Ch. 27 - If the current carried by a conductor is doubled,...Ch. 27 - Prob. 27.23PCh. 27 - Prob. 27.24PCh. 27 - If the magnitude of the drill velocity of free...Ch. 27 - Prob. 27.26PCh. 27 - Prob. 27.27PCh. 27 - While taking photographs in Death Valley on a day...Ch. 27 - Prob. 27.29PCh. 27 - Plethysmographs are devices used for measuring...Ch. 27 - Prob. 27.31PCh. 27 - An engineer needs a resistor with a zero overall...Ch. 27 - An aluminum wire with a diameter of 0.100 mm has a...Ch. 27 - Review. Ail aluminum rod has a resistance of 1.23 ...Ch. 27 - At what temperature will aluminum have a...Ch. 27 - Assume that global lightning on the Earth...Ch. 27 - In a hydroelectric installation, a turbine...Ch. 27 - A Van de Graaff generator (see Fig. 25.23) is...Ch. 27 - A certain waffle iron is rated at 1.00 kW when...Ch. 27 - The potential difference across a resting neuron...Ch. 27 - Suppose your portable DVD player draws a current...Ch. 27 - Review. A well-insulated electric water healer...Ch. 27 - A 100-W lightbulb connected to a 120-V source...Ch. 27 - The cost of energy delivered to residences by...Ch. 27 - Prob. 27.45PCh. 27 - Residential building codes typically require the...Ch. 27 - Assuming the cost of energy from the electric...Ch. 27 - An 11.0-W energy-efficient fluorescent lightbulb...Ch. 27 - A coil of Nichrome wire is 25.0 m long. The wire...Ch. 27 - Review. A rechargeable battery of mass 15.0 g...Ch. 27 - A 500-W heating coil designed to operate from 110...Ch. 27 - Why is the following situation impossible? A...Ch. 27 - A certain toaster has a heating element made of...Ch. 27 - Make an order-of-magnitude estimate of the cost of...Ch. 27 - Review. The healing element of an electric coffee...Ch. 27 - A 120-V motor has mechanical power output of 2.50...Ch. 27 - Prob. 27.57APCh. 27 - Prob. 27.58APCh. 27 - Prob. 27.59APCh. 27 - Lightbulb A is marked 25 W 120 V, and lightbulb B...Ch. 27 - One wire in a high-voltage transmission line...Ch. 27 - An experiment is conducted to measure the...Ch. 27 - A charge Q is placed on a capacitor of capacitance...Ch. 27 - Review. An office worker uses an immersion heater...Ch. 27 - Prob. 27.65APCh. 27 - An all-electric car (not a hybrid) is designed to...Ch. 27 - Prob. 27.67APCh. 27 - Prob. 27.68APCh. 27 - An electric utility company supplies a customers...Ch. 27 - The strain in a wire can be monitored and computed...Ch. 27 - An oceanographer is studying how the ion...Ch. 27 - Why is the following situation impossible? An...Ch. 27 - Prob. 27.73APCh. 27 - A close analogy exists between the flow of energy...Ch. 27 - Review. When a straight wire is warmed, its...Ch. 27 - Prob. 27.76APCh. 27 - Review. A parallel-plate capacitor consists of...Ch. 27 - The dielectric material between the plates of a...Ch. 27 - Prob. 27.79APCh. 27 - Prob. 27.80APCh. 27 - The potential difference across the filament of a...Ch. 27 - Prob. 27.82CPCh. 27 - A spherical shell with inner radius ra and outer...Ch. 27 - Material with uniform resistivity is formed into...Ch. 27 - A material of resistivity is formed into the...
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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_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_forwardA wire of Nichrome is 1.0 m long and 2.5 mm2in cross-sectional area. It carries a current of 4.0 A. When a 12.0 V potential difference is applied between the ends. Calculate the conductivity δ of the Nichrome.arrow_forward
- 2) a) A 40-m length of copper wire at 20 deg c has a diameter of 0.3 mm. If a potential difference of 10 V is applied accross the length of the wire, determine the current in the wire b) If the wire is heated to 40 deg C while the 10-V potential is maintained, what is the resulting current in the wire?arrow_forwardThe electron density in copper is 8.49 x 1028 m-3. When a 0.8 A current is present in a copper wire with a 7 cm² cross- section, the electron drift velocity (in 10-6 m/s), with direction defined relative to the current density, isarrow_forwardIf a current of 2.4 A is flowing in a cylindrical wire of diameter 2.0 mm, what is the average current density in this wire? If the current density in a wire or radius R is given by J = kr, 0 < r < R, calculate the current in the wire.arrow_forward
- Do it quickly, will upvote you.arrow_forwardA small but measurable current of 1.2 * 10-10 A exists in a copper wire whose diameter is 2.5 mm.The number of charge carriers per unit volume is 8.49 * 10^28 m-3. Assuming the current is uniform, calculate the (a) current density and (b) electron drift speed.arrow_forwardA spool of aluminum wire 290 m long and with a diameter of 0.360 mm is at 20.0°C. For aluminum, the resistivity is 2.82 x 10-8 Q ·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 0.600 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.600 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 310°C?arrow_forward
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