Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 24, Problem 45P
A copper wire joins an aluminum wire whose diameter is twice that of the copper. The same current flows in both wires. The density of
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An 18 gauge copper wire (diameter 1.02 mm) carries a current with a current density of 3.20 * 106 A/m2. The density of free electrons for copper is 8.5 * 1028 electrons per cubic meter. Calculate (a) the current in the wire and (b) the magnitude of the drift velocity of electrons in the wire.
A copper wire has a nominal diameter of 1.02 mm. This wire carries a constant current of 1.67
A. The density of free electrons is 8.5 × 1028 electrons per cubic meter. Find the magnitudes of
(a) the current density and (b) the drift velocity
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
Chapter 24 Solutions
Essential University Physics
Ch. 24.1 - Prob. 24.1GICh. 24.2 - Two wires carry the same current I. Wire A has a...Ch. 24.3 - Prob. 24.3GICh. 24.4 - You put a variable resistance across a battery...Ch. 24.5 - Todays power tools are often cordless, powered by...Ch. 24 - Explain the difference between current and current...Ch. 24 - A constant electric field generally produces a...Ch. 24 - Good conductors of electricity are often good...Ch. 24 - Does an electric stove burner draw more current...Ch. 24 - A person and a cow are standing in a field when...
Ch. 24 - You put a 1.5-V battery across a piece of...Ch. 24 - Prob. 7FTDCh. 24 - A 50-W and a 100-W lightbulb are both designed to...Ch. 24 - Equation 24.8a suggests that no power can be...Ch. 24 - Whats wrong with this news report: A power-line...Ch. 24 - A wire carries 1.5 A. How many electrons pass...Ch. 24 - A 12-V car battery is rated at 80 ampere-hours,...Ch. 24 - Biologists measure the total current due to...Ch. 24 - The National Electrical Code specifies a maximum...Ch. 24 - The electric field in an aluminum wire is 85 mV/m....Ch. 24 - What electric field is necessary to drive a 7.5-A...Ch. 24 - Prob. 17ECh. 24 - A 1.0-cm-diameter rod carries a 50-A current when...Ch. 24 - Use Table 24.1 to determine the conductivity of...Ch. 24 - Find the resistance of a heating coil that draws...Ch. 24 - Prob. 21ECh. 24 - Whats the current in a 47-k resistor with 110 V...Ch. 24 - The third rail that carries electric power to a...Ch. 24 - What current flows when a 45-V potential...Ch. 24 - A uniform wire of resistance R is stretched until...Ch. 24 - A cars starter motor draws 125 A with 11 V across...Ch. 24 - A 4.5-W flashlight bulb draws 750 mA. (a) At what...Ch. 24 - A watch uses energy at the rate of 240 W. What...Ch. 24 - A 35- electric stove burner consumes 1.5 kW of...Ch. 24 - An incandescent lightbulb draws 625 mA, while an...Ch. 24 - Though rare, electrocution has been reported under...Ch. 24 - You touch a defective appliance while standing on...Ch. 24 - You have a typical resistance of 100 k. (a) How...Ch. 24 - Example 24.3: Modern houses are often equipped...Ch. 24 - Example 24.3: The maximum current rating for...Ch. 24 - Prob. 36ECh. 24 - Example 24.3: The solar corona is the Sun’s hot...Ch. 24 - Prob. 38ECh. 24 - Example 24.4: A potential difference of 233 mV is...Ch. 24 - Example 24.4: Find the length of the electrolyzer...Ch. 24 - Example 24.4: Magnetic effects involving Jupiter’s...Ch. 24 - An ion channel in a cell membrane carries 2.4 pA...Ch. 24 - A lightbulb filament has diameter 0.050 mm and...Ch. 24 - A gold film in an integrated circuit measures 1.85...Ch. 24 - A copper wire joins an aluminum wire whose...Ch. 24 - Prob. 46PCh. 24 - In a study of proteins mediating cell membrane...Ch. 24 - The single most important use of the element gold...Ch. 24 - The maximum safe current in 12-gauge...Ch. 24 - Silver and iron wires of the same length and...Ch. 24 - You have a cylindrical piece of material 2.4 cm...Ch. 24 - How must the diameters of copper and aluminum wire...Ch. 24 - Youre writing the instruction manual for a power...Ch. 24 - An implanted pacemaker supplies the heart with 72...Ch. 24 - A rectangular pad made of gold is used as a...Ch. 24 - Each pulse produced by the Taser described in the...Ch. 24 - The Nissan Leaf is an all-electric car powered by...Ch. 24 - An electric heater is tested by immersing it in...Ch. 24 - (a) Determine the power associated with the...Ch. 24 - At a particular point in a material with...Ch. 24 - A thermally insulated container of seawater...Ch. 24 - Youre heading out for spring break, but your car...Ch. 24 - Two cylindrical resistors are made from the same...Ch. 24 - Youre working on a new high-speed rail system. It...Ch. 24 - A 100%-efficicnt electric motor is lifting a 15-N...Ch. 24 - A power plant produces 1000 MW to supply a city 40...Ch. 24 - Prob. 67PCh. 24 - A 240-V electric motor is 90% efficient, meaning...Ch. 24 - A metal bar has rectangular cross section 5.0 cm...Ch. 24 - An immersion-type heating coil is connected to a...Ch. 24 - Prob. 71PCh. 24 - The current density in a particle beam with...Ch. 24 - You work for an automobile manufacturer developing...Ch. 24 - During the brownout, the current in conductors...Ch. 24 - Which of the following occurs in the conductors of...Ch. 24 - During the brownout, the power dissipated in...Ch. 24 - Prob. 77PP
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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_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
- Taking 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_forwardA 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_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_forwardWhen a current flows in an aluminum wire of diameter 2.83 mm, the drift speed of the conduction electrons is 0.000147 m/s.How many electrons are flowing past a given point each second? The conduction electron density in aluminum is 6.00×1028 m−3.arrow_forwardA 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=arrow_forward
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