A copper wire has a circular cross section with a radius of 3.25 mm. (a) If the wire carries a current of 3.60 A, find the drift speed of the electrons in the wire. (Assume the density of charge carriers (electrons) in a copper wire is n = 8.46 x 1028 electrons/m³.) m/s (b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.

A copper wire has a circular cross section with a radius of 3.25 mm. (a) If the wire carries a current of 3.60 A, find the drift speed of the electrons in the wire. (Assume the density of charge carriers (electrons) in a copper wire is n = 8.46 x 1028 electrons/m³.) m/s (b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 31P: Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the...

See similar textbooks

Similar questions

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?
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.
A 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/s
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.
A 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:____.
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.
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.
A copper wire has a circular cross section with a radius of 1.06 mm. (a) If the wire carries a current of 3.38 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/s
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 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)
The charge that flows through a point in a wire as a function of time is modeled as q(t) = q0 e−t/T = 10.0 Ce−t/5 s . (a) What is the initial current through the wire at time t = 0.00 s ? (b) Find the current at time t =1/2 T . (c) At what time t will the current be reduced by one-half I =1/2 I0 ?
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)