Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 28, Problem 13PQ
To determine
The drift speed of the free electron in the wire.
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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.
What current (in A) in a copper wire with a cross-sectional area of 3.65 x 10-1 mm2 would result in a drift speed equal 4.33 x 10-4 m/s? (Given ncopper = 8.46 x 1028 electrons / m3)
A gold wire of 0.500 mm diameter has 8.50 × 1028 conduction electrons per cubic meter. If the drift speed is 4.30 μm/s, what is the current in the wire?
Chapter 28 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 28.1 - Prob. 28.1CECh. 28.2 - Prob. 28.2CECh. 28.3 - Prob. 28.3CECh. 28.5 - When a lightbulb burns out, its filament breaks so...Ch. 28.6 - A battery with terminal potential is connected to...Ch. 28.7 - A battery of terminal potential is connected to a...Ch. 28 - Prob. 1PQCh. 28 - Prob. 2PQCh. 28 - Prob. 3PQCh. 28 - Prob. 4PQ
Ch. 28 - Prob. 5PQCh. 28 - Prob. 6PQCh. 28 - Prob. 7PQCh. 28 - Prob. 8PQCh. 28 - Prob. 9PQCh. 28 - Prob. 10PQCh. 28 - Prob. 11PQCh. 28 - Prob. 12PQCh. 28 - Prob. 13PQCh. 28 - Prob. 14PQCh. 28 - The current in a wire varies with time (measured...Ch. 28 - Prob. 16PQCh. 28 - The amount of charge that flows through a copper...Ch. 28 - Prob. 18PQCh. 28 - Prob. 19PQCh. 28 - Prob. 20PQCh. 28 - Prob. 21PQCh. 28 - Prob. 22PQCh. 28 - A copper wire that is 2.00 mm in radius with...Ch. 28 - Prob. 24PQCh. 28 - Prob. 25PQCh. 28 - Prob. 26PQCh. 28 - What is the electric field in an aluminum wire if...Ch. 28 - Prob. 28PQCh. 28 - Prob. 29PQCh. 28 - Prob. 30PQCh. 28 - Prob. 31PQCh. 28 - Prob. 32PQCh. 28 - Two concentric, metal spherical shells of radii a...Ch. 28 - Prob. 34PQCh. 28 - Prob. 35PQCh. 28 - Prob. 36PQCh. 28 - Prob. 37PQCh. 28 - A lightbulb is connected to a variable power...Ch. 28 - Prob. 39PQCh. 28 - Prob. 40PQCh. 28 - Prob. 41PQCh. 28 - Prob. 42PQCh. 28 - Prob. 43PQCh. 28 - A Two wires with different resistivities, 1 and 2,...Ch. 28 - A copper and a gold wire are supposed to have the...Ch. 28 - Gold bricks are formed with the dimensions 7358134...Ch. 28 - Prob. 47PQCh. 28 - Prob. 48PQCh. 28 - Prob. 49PQCh. 28 - Prob. 50PQCh. 28 - Prob. 51PQCh. 28 - Prob. 52PQCh. 28 - Prob. 53PQCh. 28 - Prob. 54PQCh. 28 - A two-slice bread toaster consumes 850.0 W of...Ch. 28 - Prob. 56PQCh. 28 - Prob. 57PQCh. 28 - Prob. 58PQCh. 28 - Prob. 59PQCh. 28 - Prob. 60PQCh. 28 - Prob. 61PQCh. 28 - Prob. 62PQCh. 28 - Prob. 63PQCh. 28 - Prob. 64PQCh. 28 - Prob. 65PQCh. 28 - Prob. 66PQCh. 28 - Prob. 67PQCh. 28 - Prob. 68PQCh. 28 - Prob. 69PQCh. 28 - Prob. 70PQCh. 28 - Prob. 71PQCh. 28 - Prob. 72PQCh. 28 - Prob. 73PQCh. 28 - Prob. 74PQCh. 28 - Review When a metal rod is heated, its resistance...Ch. 28 - Prob. 76PQCh. 28 - Prob. 77PQCh. 28 - Prob. 78PQCh. 28 - Prob. 79PQCh. 28 - Prob. 80PQCh. 28 - Prob. 81PQCh. 28 - A conducting material with resistivity is shaped...
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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 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_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_forward
- How many electrons flow through a point in a wire in 3.00s if there is a constant current of I= 4.00 Aarrow_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_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
- If 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 current of I = 7.3 A is passing through a conductor with cross sectional area A = 6.5 × 10-4 m2. The charge carriers in the conductor, electrons, have a number density n = 2.1 x 1027 m-3. Calculate the numerical value of the drift velocity, v, in m/s. vd =arrow_forwardA typical wire for laboratory experiments is made of copper and has a radius 0.815 mm.Calculate the drift speed of electrons in such a wire carrying a current of 1 A, assuming one freeelectron per atom. (density of copper 8.93 g/cm3 and molar mass of copper 63.5 g/mol)arrow_forward
- A cylindrical conducting wire which is 342.57cm long, 85.39mm thick and resistivity of 3.13Ω.m, (a) has the resistance of R = ? If current I = 12.9A is generated by flowing of 217 electrons/m3 via a conductor, Then the electrons through this conductor (b) have a density J = ?and (c) are drifting at a speed of VD = ?arrow_forwardA 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.arrow_forwardWhen 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.arrow_forward
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