A conductor has a cross-sectional area of 2.3x106m² and the number of free electrons per unit volume is 8.5 x1028 electron/m. When the current is 14.5 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x1019 C. A conductor has a cross-sectionalarea of 2.3x10m? and the numberof free electrons per unit volume is 8.5x1028 electron/m. When the currentis 14.5 A, find the drift speed (inmm/s) of the electrons. Use thecharge of the electron to be 1.6x1019C.

Answered: Image /qna-images/answer/938bca5f-d06b-439d-9f72-b73dec489a4d.jpg

Answered: drift speed

Science

Physics

drift speed

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 68PQ

See similar textbooks

Related questions

Q: (1) Find the mass of the air at 20°C in a living room with a 3.66 m × 5.45 m floor and a ceiling of…

A: Density is defined as mass per unit volume, d=mVDensity of air at 200C is 1.2kg/m3 Electric force…

Q: An 18 gauge copper wire (diameter 1.02 mm) carries a current with a current density of 2.90×10^6…

A: The equation for the current in the wire is given by

Q: A conductor has a cross-sectional area of 2.3×106 m² and the number of free electrons per unit…

A: Cross-sectional area is A = 2.3×10-6 m2 Electron density is n = 8.5×1028 electron/m3 Current, I =…

Q: Find the current density and drift velocity of free electrons when the particles travel on a copper…

A: Given that:a=1 mmi=40 An=6.0×1028 electrons/m3

Q: A 190-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,210 A.…

A: Length of transmission line (L) = 190 km = 190000 m Diameter of the transmission line (d) = 2 cm…

Q: A copper wire has 8.48×1028 free electrons per m3. If the cross sectional area of the wire is 3x10-6…

Q: Copper has one conduction electron per atom. Its density is 8.89 g/cm' and its atomic mass is 63.54…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A: Given: The diameter of the wire is 2.45 cm. The length of the wire is 21.5 cm. The potential…

Q: A small but measurable current of 8.3 x 1010 A exists in a copper wire whose diameter is 2.9 mm. The…

A: Current (i) = 8.3×10-10 A diameter (d) = 2.9 mm Radius (R) = 1.45 mm = 0.00145 m n = 8.49×1028 m-3

Q: A conductor has a cross- sectional area of 2.3x106 m2 and the number of free electrons per unit…

Q: A copper wire has a nominal diameter of l1.02 mm This wire carries a constant current of 1.67 A. The…

Q: The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m2.…

Q: A conductor has a cross-sectional area of 2.3x 10-6 m and the number of free electrons per unit…

A: Drift speed is given by - Drift speed= current/(n × e ×A) Where, n=number density e=Electric…

Q: What is the value of current if a 1000 C charge flows in a conductor over a period of 5 minutes?

A: Given that Charge q = 1000 C Time for flow t = 5 min

Q: A typical wire for laboratory experiments is made of copper and has a radius 0.815 mm. Calculate the…

A: Given: radius, r = 0.815 mm Current, i = 1 A density of copper, d = 8.93 g/cm3 m = 63.5 g/mol

Q: The current supplied to an air conditioner unit is 2.08 amps. The air conditioner is wired using a…

Q: 1.67 A flows in 18 gauge copper wire (ordinary household wire). The diameter of 18 gauge wire is…

A: We know that the formula of the current is given as I = neAVd where I is the current e is the…

Q: An aluminum wire having a radius of 7.53 mm and carrying a current of 86.2 mA is connected in a…

A: let the density of the electrons is denoted by n, the charge of electrons is denoted by e, the…

Q: A conductor has a cross-sectional area of 2.3x106 m2 and the number of free electrons per unit…

A: 0.29 mm/s

Q: A conductor has a cross-sectional area of 2.3 × 10^-6 m^2 and the number of free electrons per unit…

Q: The current density in a copper wire of diameter 1.02 mm is 1.75 x 10⁵ A/m². The number of free…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm? varies…

Q: A potential difference of 3.00 µV is set up across a 2.00 cm length of a wire (with resistivity of…

Q: A wire has a current density of 7.47 × 106 A/m². If the cross-sectional area of the wire is 2.39…

Q: What is the resistivity of a wire if it is subjected to a 2.50✕102 V/m electric field, and has a…

A: Given: E=2.50*102 V/mj=4.03*10-13 A/m2

Q: A length of metal wire has a radius of 5.00 × 10−3 m and a resistance of 0.100 Ω. When the potential…

A: The radius of metal wire,

Q: A current goes through a wire of length L = 5m , and free electron density of 8.25 * 10 ^ 25 * e * l…

A: Given :- L= 5m electron density = 8.25 ×1025 e /m3 t= 1000 s charge of electron is 1.6×10 -19 C

Q: The mean time between collisions in iron is 3.6×10−15 s. What electron current is driven through a…

A: Let t be the mean time of collision in iron, d be the diameter of the wire, E be the electric field,…

Q: A conductor has a cross-sectional area of 2.3X10-6 m2 and the number of free electrons per unit…

Q: A copper wire has a square cross section 2.3 mm on a side. The wire is 4 m long and carries a…

Q: A conductor has a cross-sectional area of 2.3×10-6 m² and the number of free electrons per unit…

A: The given values are, A=2.3×10-6 m2n=8.5×1028 /m3I=12.3 AQ=1.6×1019 C

Q: A conductor has a cross- sectional area of 2.3\( \times \)10-6 m2 and the number of free electrons…

Q: The conduction electrons in a cylindrical, current-carrying wire have a drift velocity of 0.35 mm/s.…

A: Given Drift velocity vd = 0.35 mm/s = 0.35 × 10-3 m/s Radius of wire r = 1 mm = 10-3 m Number of…

Q: A copper wire has a circular cross section with a radius of 2.36 mm. (a)If the wire carries a…

Q: An electron beam has a measured current of I = 54.30 µA with a radius of 2.00 mm. What is the…

A: The expression for current density is given by J = IA ..............................(1)whereJ =…

Q: A metallic wire has a diameter of 4.12mm. When the current in the wire is 8.00A, the drift velocity…

A: Given, diameter of metallic wire D = 4.12 mm so its radius R = D2 Current in the wire I = 8.0 A…

Q: A steady 4.38-mA current is present in a wire of diameter 1.0 mm. Calculate the drift velocity of…

Q: If a current of 5A flows through a conductor with a resistance of 7 ohms for 3 minutes, how many…

Q: An aluminum wire having a cross-sectional area equal to 2.00 x 106 m2 carries a current of 3.50 A.…

A: Given: Cross sectional area A = 2.0×10-6 m2 Current in wire I = 3.5 A. Density of aluminum wire =…

Q: A conductor has a cross-sectional area of 2.3x 10-6 m² and the number of free electrons per unit…

A: Given data: The area of conductor is A=2.3x10-6 m2. The free electrons are n=8.5x1028 e/m3. The…

Q: nas a area of 2.3x10-6 m² and the number of free electrons per unit volume is 8.5×1028 electron/m³.…

A: Formula of drift velocity is as follows: vd=IneA…

Q: An aluminum wire of cross-sectional area 4.0 mm2 is carrying a current of 8.0 A. The density of…

A: cross sectional area (A) = 4 mm2Current (I) = 8 A density of aluminum = 2.7 gcm3molar mass = 27 g…

Q: A gold wire of 0.500 mm diameter has 8.50 × 1028 conduction electrons per cubic meter. If the drift…

A: Given data: Diameter (d) = 0.500 mm = 0.500×10-3 m Number of electrons per cubic meter (n) =…

Q: A conductor has a cross-sectional area of 2.3x106 m2 and the number of free electrons per unit…

A: .

Q: The vector current density of a 3m long and 3mm diameter conductor is given as 155630 A/m^2.…

A: Write the formula for the current density.

Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

A conductor has a cross-sectional area of 2.3x106m² and the number of free electrons per unit volume is 8.5 x1028 electron/m. When the current is 14.5 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x1019 C.

A conductor has a cross-sectional
area of 2.3x10m? and the number
of free electrons per unit volume is 8.5
x1028 electron/m. When the current
is 14.5 A, find the drift speed (in
mm/s) of the electrons. Use the
charge of the electron to be 1.6x1019
C.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

If 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?
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?
Consider a resistor of resistivity 3.96 × 10-8 Ω • m. If an electric field of 12 V/m is applied across the resistor and the electron volume concetration in the conductor is 5.16 × 1028 per m3, determine the drift velocity, in mm/s, of the free electron constituting the current.
A cylindrical conducting wire which is 342.57cm long, 85.39mm thick and resistivity of 3.13Ω.m, 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 =?
Consider a resistor of resistivity 1.59x10^-8 ohms•m. If an electric field of 19 V/m is applied across the resistor and the electron volume concentration in the conductor is 4.7x10^28 per cubic meter, determine the drift velocity, in mm/s, of the free electron constituting the current.
Consider a conductor of length 69 millimeters and inner and outer diameters 7.98 millimeters and 13.77 millimeters, respectively. The charge carriers, as a group, travels end to end of the conductor in 4.68 seconds. If the electron volume concentration of the conductor is 7.00 × 1025 electrons per cubic meter, find the total current, in amperes, through the conductor.
A metal object having a length (10m), cross section area (0.5 mm2), and resistance (0.52) is connected to a potential difference source of 5V at room temperature. If the density of free electrons equals (8×1025 electron/m³), Calculate the thermal velocity.
A copper wire 100m long with cross-sectional area of 2x10 -4 cm 2 isheated from room temperature of 25 0 C to 200 0 C. Findc) The drift speed of the “electron group” in the wire, if the current is 3A and density of electrons is 8.5x10 28 electrons /m3d) The voltage drop across the wire resistor for this current of 3A
Find the drift velocity vd of conduction electrons in a gold wire of diameter 1.53 mm when a current of 0.103 A flows in it. The density of conduction electrons in gold is 5.90 x 10^28 m^-3
A rectangular block of copper has sides of length 10. cm, 20. cm,and 40. cm. If the block is connected to a 6.0 - V source acrosstwo of its opposite faces, what are (a) the maximum currentand (b) the minimum current the block can carry?
A / 34.5-m length of copper wire at 20.0°C has a radius of 0.25 mm. If a potential difference of 9.00 V is applied across the length of the wire, find the current in the wire. B/If the wire is heated to 30.0°C while the 9.00-V potential difference is maintained, what is the resulting current in the wire?
When a current flows in an aluminum wire of diameter 2.33 mm, the drift speed of the conduction electrons is 0.000279 m/s. The conduction electron density in aluminum is 6.00 x 10^28 m^-3. What is the electron current?