Consider a copper wire with a diameter of 2.55 mm.(a) What is the drift speed of the electrons in the copper wire when a current of 15.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper8.92 g/cm3.m/s(b) How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds.Va

Diameter of copper wire d=2.55 mm (radius r=1.275 mm), current I=15 A, density of copper is 8.92…

Consider a copper wire with a diameter of 2.55 mm. (a) What is the drift speed of the electrons in the copper wire when a current of 15.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm?. m/s (b) How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds. Va

Consider a copper wire with a diameter of 2.55 mm. (a) What is the drift speed of the electrons in the copper wire when a current of 15.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm?. m/s (b) How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds. Va

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 15P: If the current carried by a conductor is doubled, what happens to (a) the charge carrier density,...

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.
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 copper wire with a diameter of 2.45 mm. (a) What is the drift speed of the electrons in the copper wire when current of 16.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm3. m/s (b) How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds. Vrms=
Consider a copper wire with a diameter of 2.75 mm. A. What is the drift speed of the electrons in the copper wire when a current of 13.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm3. B. How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds.
Silver wire has a cross-sectional area A = 2.0 mm2. A total of 9.4 x 10 electrons pass through the wire in 3.0 s. The conduction electron density in silver is 5.8 x 1028 electrons/m. What is the drift velocity of these electrons?
A current of I=1.1 A is passing through a conductor with cross-section area A=6.5x10^-4m^2. The charge carries in the conductor, electrons, have a number density n=6.1x10^27m^-3. Part (a) Express the drift velocity of electrons through I,A,n and the fundamental charge e. Part (b) calculate the miracle value of v, in m/s.
Earth’s lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is 120 V/m and the field is directed vertically down.This field causes singly charged positive ions, at a density of 620 cm3, to drift downward and singly charged negative ions, at a density of 550 cm3, to drift upward. The measured conductivity of the air in that region is 2.70 * 10-14 (ohmm)-1. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.
A current of I = 4.6 A is passing through a conductor with cross sectional area A = 3.5 × 10-4 m2. The charge carriers in the conductor, electrons, have a number density n = 1.2 x 1027 m-3. Part (a) Express the drift velocity of electrons through I, A, n, and the fundamental charge e. Part (b) Calculate the numerical value of v, in m/s.
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 conductor has a cross-sectional area of 2.3\( \times \)106 m² and the number of free electrons per unit volume is 8.5\( \times V1028 electron/m³. When the current is 8.5 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6\( \times \)1019 C. Select one: A. 35.67 B. 27.17 C. 0.36 D. 0.19 E. 0.27
In the classic model for electrical conduction, electron mobility u in a metal wire is defined as where v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely electrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a potential difference. (a) Show that where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. (b) B = AVH is often written as AVH - R IB where R, is the Hall coefficient of the metal. Show that the following is true. (Submit a file with a maximum size of 1 MB.) Hyo -n (Choose File no file selected This answer has not been graded yet (c) The table below shows some measured values of Hall coefficients for some elemental materials. What is an average number…
copper conductor of length 15.24 m and diameter 2.05 mm carries a current of 15 A. Find the electric field intensity, drift velocity, voltage drop and resistance of the conductor. The conductivity and electron mobility in copper is given by 5.8 x 10^7 S/m and 0.0032 m^2/V.ssrespectively.