Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 25, Problem 4P
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When a current flows in an aluminum wire of diameter 4.67 mm,4.67 mm, the drift speed of the conduction electrons is 0.000149 m/s.0.000149 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.
When 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.
A copper wire of cross-sectional area 1.30 mm2 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.
Chapter 25 Solutions
Physics for Scientists and Engineers
Ch. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - Prob. 8PCh. 25 - Prob. 9PCh. 25 - Prob. 10P
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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_forwardFigure 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_forward
- A 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_forwardIf a metallic wire of cross sectional area 4.0 x 10-6 m2 carries a current of 6.0 A and has a mobile charge density of 4.24 x 1028 carriers/m3, what is the average drift velocity of the mobile charge carriers? (charge value = 1.6 x 10-19 C)arrow_forwardA copper wire has a circular cross section with a radius of 2.36 mm. (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 carriers in copper to be n = 1.10 ✕ 1029 electrons/m3.) 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 ✕ 1029 electrons/m3. m/sarrow_forward
- Calculate the drift velocity (in ×10-6 m/s) of electrons in a silver cylindrical conductor with a diameter of 2.0 cm carrying 5.0 A current, given there is one free electron per silver atom. ρsilver = 10490 kg/m3 atomic mass of silver = 107.9 g/mol Avogadro's number = 6.02×1023 atoms/molarrow_forwardA copper wire is dCu = 0.0500 cm in diameter, 3.00 m long, and has a charge carrier density of 8.50x10^28 electrons/m3. The copper wire is attached to an equal length of aluminum wire with diameter dAl = 0.0100 cm and charge carrier density of 6.02x10^28 electrons/m3. A current of 0.400 A flows through the copper wire. a. The ratio of current densities in the two wires, JCu/JAl is:___. b. The ratio of drift velocities in the two wires, vd–Cu/vd–Al is:____.arrow_forwardCalculate the drift velocity of electrons when a current of 1.5 A flows in a copper wire of crosssectional area of 5.0 mm2. The electron density in copper is 9.0 x 1028 m-3.(e = 1.6 x 10-19 C)arrow_forward
- Two pieces of copper wire have the same length, but wire A has square cross section of side s, whereas wire B has circular cross section of diameter s. Which of the following is TRUE? A. The resistivity of both wires is the same B. The resistance of both wires is the same C. The resistance of wire A is greater than B D. The resistance of wire B is greater than Aarrow_forwardAn aluminum wire of radius 1.00 mm carries a current of 1.00 mA. The density of aluminum is 2.70x103kg/m3, and 1 mole of aluminum has a mass of 26.98g. There is one conduction electron per aluminum atom. a. The current density in the wire is:___ A/m2 b. The drift velocity of the electrons carrying this current is:___ x10-8m/s c. The distance traveled by an electron in 10 hours is:___mm.arrow_forwardA long, cylindrical wire with a length of 1.5 m and a cross-sectional area of 5.0 mm2 carries a steady current of 5.0 A. If the number density of free electron carriers in the wire is 8.0 x 1028 e- ' s/m3, what is the drift velocity of the free electrons that carry the current? a. 6.5 x 10-7 m/s b. 7.8 x 10-7 m/s c. 4.2 x 10-7 m/s d. 9.7 x 10-7 m/s e. 2.1 x 10-6 m/sarrow_forward
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