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 27.3P
To determine
The drift speed of the electrons in the wire.
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An aluminum wire having a cross-sectional area equal to 3.50 x 10-6 m2 carries a current of 6.00 A. The density of
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of the electrons in the wire.
mm/s
An aluminum wire having a cross-sectional area
equal to 5.20 10-6 m² carries a current of 3.00 A. The
density of aluminum is 2.70 g/cm³. Assume each
3
aluminum atom supplies one conduction electron per
atom. Find the drift speed of the electrons in the
wire.
mm/s
A 0.68-mm-diameter copper wire carries a tiny current of 2.5 μA. The molar mass of copper is 63.5 g/mole and its density is 8900 kg/m^3. NA=6.02×10^23
Estimate the electron drift velocity. Assume one free electron per atom.
Express your answer to two significant figures and include the appropriate units.
vd=
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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- 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_forwardIf the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?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_forward
- A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a cross-sectional area of 0.600 mm2. What is the current in the wire?arrow_forwardThe quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time according to the equation q = 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density?arrow_forwardConsider 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_forward
- Figure P21.6 represents a section of a conductor of nonuniform diameter carrying a current of I = 5.00 A. The radius of cross-section A1 is r1 = 0.400 cm. (a) What is the magnitude of the current density across A1? The radius r2 at A2 is larger than the radius r1 at A1. (b) Is the current at A2 larger, smaller, or the same? (c) Is the current density at A2 larger, smaller, or the same? Assume A2 = 4A1. Specify the (d) radius, (e) current, and (f) current density at A2. Figure P21.6arrow_forwardAn aluminum wire having a cross-sectional area equal to 4.60 x 106 m² carries a current of 3.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire.arrow_forwardAn aluminum wire having a cross-sectional area equal to 3.10 x 10-6 m² carries a current of 6.00 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/sarrow_forward
- A copper wire of cross-sectional area 1.40 mm² has a current of 3.90 A flowing along its length. What is the drift speed of the conduction electrons? Assume 1.30 conduction electrons per copper atom. The mass density of copper is 9.00 g/cm³ and its molar mass is 64.0 g/mol. mm/sarrow_forwardA 0.70-mm-diameter copper wire carries a tiny current of 2.9 μA. The molar mass of copper is 63.5 g/mole and its density is 8900 kg/m3. NA=6.02×10^23 Estimate the electron drift velocity. Assume one free electron per atom.arrow_forwardAn aluminum wire having a cross-sectional area equal to 5.10*10^-6 m^2 carries a current of 4.00 A. The density of aluminum is 2.70 g/cm^3. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire.arrow_forward
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