A copper wire has a circular cross section with a radius of 1.81 mm. HINT Apply the relation between electrical current and drift speed. Click the hint button again to remove this hint. (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 x 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 x 102⁹ electrons/m³. m/s

A copper wire has a circular cross section with a radius of 1.81 mm. HINT Apply the relation between electrical current and drift speed. Click the hint button again to remove this hint. (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 x 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 x 102⁹ electrons/m³. m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 69PQ

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?
Consider a power plant is located 60 km away from a residential area uses Q-gauge (A=42.40mm2) wire ofcopper to transmit power at a current of I = 100.00 A.How much more power is dissipated in the copper wires than it would be in superconducting wires?
A conductor carries a current that is decreasing exponentially with time. The current is modeled as I=I0et/ , where I0= 3.00 A is the current at timet = 0.00 s and =0.50 s is the time constant. How much charge flows through the conductor between t = 0.00 s and =3 ?
Calculate the specific conductivity of the conductor in Mega(Ωm)-1 since the current passing through a conductor with a cross-section (1.00nm x 1.00µm), length of 10.00mm, is 1.00mA and the voltage value falling on it is 1.00V.
The beam, consisting of electrons with constant kinetic energy and uniform density, carries a current of 1 mA. The cross-section-area of the beam is 23 mm², the electron density is 3x10^12 cm-3. If the electric current is directed to the right, what is the magnitude (m/s) and direction of the velocity of the electrons?
The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00 mm is given by J= (3.00 × 10^8) r^2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.500R and r = R ?
A 14-gauge copper wire has a diameter of 1.628 mm.What magnitude current flows when the drift velocity is 1.00 mm/s?
The magnitude J of the current density in a certain wire with a circular cross section of radius R = 2.21 mm is given by J = (3.18 × 108)r2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.927R and r = R?
A copper wire of 3mm diameter with conductivity of 6.7 * 10' (Q.m) , and electron mobility of 0.0064 m2 N sec. Is subjected to an electric field of 30 mV/m. Find (a) the charge density of free electrons, (b) the current density, (c) current flowing in the wire, (d) the electron draft velocity.
An unknown wire in a circuit has a circular cross-section with diameter 3.8 mm. It carries a current of 4.2 mA. If you assume the drift velocity in this wire is 1 × 10-2 cm/s, what is the density of charge carriers per cubic centimeter? If the conductivity in this wire is 3.5 × 106 Ω-1 m-1, what is the average time between collisions, in nanoseconds? J=37.03 n=???? τ =????
What is the resistance of a copper bus bar 9.15 meter long and 7.62 cm by 1.27 cm in cross section? Use 1.78 μΩ-cm specific resistance for copper.
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