Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 25, Problem 31P
To determine
The drift speed of free electrons.
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A conductor has a cross-sectional area of 2.3 × 10^-6 m^2 and the number of free electrons per unit volume is 8.5 × 10^28 electron/m^3. When the current is 13.7 A, find the drift speed (in mm/s) of the electrons.
Electric field through a copper wire is found to be 0.18 V/m. If the copper wire has 8.46x10²8 electrons per m³ and a conductivity of 1.7×10 m, estimate the drift velocity of the electrons.
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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
Ch. 25 - Prob. 11PCh. 25 - Prob. 12PCh. 25 - Prob. 13PCh. 25 - Prob. 14PCh. 25 - Prob. 15PCh. 25 - Prob. 16PCh. 25 - Prob. 17PCh. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - Prob. 20PCh. 25 - Prob. 21PCh. 25 - Prob. 22PCh. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - Prob. 25PCh. 25 - Prob. 26PCh. 25 - Prob. 27PCh. 25 - Prob. 28PCh. 25 - Prob. 29PCh. 25 - Prob. 30PCh. 25 - Prob. 31PCh. 25 - Prob. 32PCh. 25 - Prob. 33PCh. 25 - Prob. 34PCh. 25 - Prob. 35PCh. 25 - Prob. 36PCh. 25 - Prob. 37PCh. 25 - Prob. 38PCh. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - Prob. 41PCh. 25 - Prob. 42PCh. 25 - Prob. 43PCh. 25 - Prob. 44PCh. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - Prob. 47PCh. 25 - Prob. 48PCh. 25 - Prob. 49PCh. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Prob. 52PCh. 25 - Prob. 53PCh. 25 - Prob. 54PCh. 25 - Prob. 55PCh. 25 - Prob. 56PCh. 25 - Prob. 57PCh. 25 - Prob. 58PCh. 25 - Prob. 59PCh. 25 - Prob. 60PCh. 25 - Prob. 61PCh. 25 - Prob. 62PCh. 25 - Prob. 63PCh. 25 - Prob. 64PCh. 25 - Prob. 65PCh. 25 - Prob. 66PCh. 25 - Prob. 67PCh. 25 - Prob. 68PCh. 25 - Prob. 69PCh. 25 - Prob. 70PCh. 25 - Prob. 71PCh. 25 - Prob. 72PCh. 25 - Prob. 73PCh. 25 - Prob. 74PCh. 25 - Prob. 75PCh. 25 - Prob. 76PCh. 25 - Prob. 77PCh. 25 - Prob. 78PCh. 25 - Prob. 79PCh. 25 - Prob. 80PCh. 25 - Prob. 81PCh. 25 - Prob. 82PCh. 25 - Prob. 83PCh. 25 - Prob. 84PCh. 25 - Prob. 85PCh. 25 - Prob. 86PCh. 25 - Prob. 87PCh. 25 - Prob. 88PCh. 25 - Prob. 89PCh. 25 - Prob. 90PCh. 25 - Prob. 91PCh. 25 - Prob. 92PCh. 25 - Prob. 93PCh. 25 - Prob. 94PCh. 25 - Prob. 95PCh. 25 - Prob. 96PCh. 25 - Prob. 97PCh. 25 - Prob. 98PCh. 25 - Prob. 99PCh. 25 - Prob. 100PCh. 25 - Prob. 101PCh. 25 - Prob. 102PCh. 25 - Prob. 103PCh. 25 - Prob. 104PCh. 25 - Prob. 105PCh. 25 - Prob. 106PCh. 25 - Prob. 107PCh. 25 - Prob. 108PCh. 25 - Prob. 109PCh. 25 - Prob. 110PCh. 25 - Prob. 111PCh. 25 - Prob. 112PCh. 25 - Prob. 113PCh. 25 - Prob. 114PCh. 25 - Prob. 115PCh. 25 - Prob. 116PCh. 25 - Prob. 117PCh. 25 - Prob. 118PCh. 25 - Prob. 119PCh. 25 - Prob. 120P
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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_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_forward
- A current of 0.87 A flows through a copper wire of radius 3.53 mm; copper has 8.50x1028 free electrons per cubic meter. What is the drift speed of an electron in the wire? (Express your answer in (m/s) to three significant figures)arrow_forwardA 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 uarrow_forwardCalculate the drift velocity (in x1o-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. Psilver = 10490 kg/m3 atomic mass of silver = 107.9 g/mol Avogadro's number = 6.02x1023 atoms/molarrow_forward
- 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=arrow_forwardGiven the electric field through a write is 0.50 V/m. The material used to make the wire has 6.52×10²8 electrons per m³. If the material has a conductivity of 1.7×10 m, calculate the drift velocity of the electrons.arrow_forwardEstimate the average drift speed of the conduction electrons in a copper wire with a cross-sectional area of 3.5 x 10-7m 2 and carrying a current of 2.8 A. Assume the density of conduction electrons in a wire is 7x1028 m -3arrow_forward
- A potential difference of 0.8 V is maintained between the ends of a metal wire of length 1.0 m. The number density of free electrons in the metal is 8.0 × 1028 per m' and the electrical conductivity of the metal is 6.4 x 10' 2 ml. Find the drift speed of electrons.arrow_forwardA certain wire has a diameter of 0.55 mm and contains 8,5 x 10^28 free electrons/m^3.If the wire has a current of 3.1 A, what is the drift velocity of the electrons?arrow_forwardHow many free electrons are there in a rectangular block of a conductor whose dimension is 8 m by 4 m by 3 m? The electrons of this conductor have a drift velocity of 4 m/s when a 9.6 A of currentis applied thru a cross-sectional area of 0.005 m2 Use electronic charge of 1.6 x 10 –19 coulomb per electron. Express your answer in scientific notation whose unit is electrons per cubic meter.arrow_forward
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