An iron wire has a cross-sectional area equal to 1.25 x 103 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 29.0 A (a) How many kilograms are there in 1.00 mole of iron? kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). mol/m (c) Calculate the number density of iron atoms using Avogadro's number atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom electrons/m (e) Calculate the drift speed of conduction electrons in this wire. m/s

An iron wire has a cross-sectional area equal to 1.25 x 103 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 29.0 A (a) How many kilograms are there in 1.00 mole of iron? kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). mol/m (c) Calculate the number density of iron atoms using Avogadro's number atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom electrons/m (e) Calculate the drift speed of conduction electrons in this wire. m/s

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 28P: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the...

See similar textbooks

Similar questions

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.
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 P21.49
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?
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.
An 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.
A 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 =
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.
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/mol
A 10-gauge copper wire has a cross-sectional area A = 5.26 mm2 and carries a current of I = 5.00 A . The density of copper is ρ = 89.50 g/cm3 . One mole of copper atoms (6.02 × 1023 atoms) has a mass of approximately 63.50 g. What is the magnitude of the drift velocity of the electrons, assuming that each copper atom contributes one free electron to the current?
A copper wire is r = 0.0250 cm in radius and 3.00 m in length, has resistivity ρ = 1.72x10^–8 Ωm, and carries a current of 0.400A. The wire has a charge carrier density of 8.50x10^28 electrons/m3.a. The resistance, R, of the wire is:____Ω.b.The electric potential difference, V, across the wire is:____V.c.The electric field, E, in the wire is:____V/m.
A cylindrical resistor of radius 5.0 mm and length 2.0 cm is made of material that has a resistivity of 3.5 * 10-5 ohm m.What are (a) the magnitude of the current density and (b) the potential difference when the energy dissipation rate in the resistor is 1.0W?
A high-voltage copper transmission line with a diameter of 1.40 cm and a length of 120 km carries a steady current of 8.25 102 A. If copper has a free charge density of 8.46 1028 electrons/m3, over what time interval does one electron travel the full length of the line?