EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Question
Chapter 27, Problem 27.6P
(a)
To determine
The drift speed of the electrons in this wire.
(b)
To determine
The reason that the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper.
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A copper wire has a circular cross section with a radius of 1.25 mm. (a) If the wire carries a current of 3.70 A, find the drift speed of the electrons in this wire. (b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.
A copper wire of cross-sectional area 3.00x10^-6 m2 carries a current of 10.0 A. (a) Assuming that each copper atom contributes one free electron to the metal, find the drift speed of the electrons in this wire. (b) Use the ideal gas model to compare the drift speed with the random rms speed an electron would have at 20.0°C. The density of copper is 8.92 g/cm3, and its atomic mass is 63.5 u
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Chapter 27 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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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- If 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_forwardAn 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_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
- 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_forwardWhat current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103 V is applied to it? (Such a rod may be used to make nuclear- particle detectors, for example.)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
- Resistors are commonly rated at 18W,14W,12W ,1 W and 2 W for use in electrical circuits. If a current of1 = 2.00 A is accidentally passed through a R=1.00 resistor rated at 1 W, what would be the most probable outcome? Is there anything that can be done to prevent such an accident?arrow_forwardA copper wire has a circular cross section with a radius of 3.20 mm. (a) If the wire carries a current of 2.60 A, find the drift speed of the electrons in the wire. (The density of electrons in copper is n = 8.46 ✕ 1028 electrons/m)m/s(b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.arrow_forwardA copper wire of cross-sectional area 1.30 mm? has a current of 7.10 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.arrow_forward
- A copper wire has a circular cross section with a radius of 1.96 mm. HINT (a) If the wire carries a current of 3.68 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge to be n= 1.10 x 1029 electrons/m.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m3. |m/sarrow_forwardA copper wire has a circular cross-section with a radius of1.25 mm. (a) If the wire carries a current of 3.70 A, findthe drift speed of electrons in the wire. (Take the density ofmobile charge carriers in copper to be n= 1.10 x 1029 electrons/m3.) (b) For the same wire size and current, find thedrift speed of electrons if the wire is made of aluminum withn= 2.11 x 1029 electrons/m3.arrow_forwardPlease Asaparrow_forward
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