Question: Consider a model for a metal in which the lattice of positive ions forms a container for a classical electron gas with n electrons per

Consider a model for a metal in which the lattice of positive ions forms a container for a classical electron gas with n electrons per unit volume. In equilibrium, the average electron velocity is zero, but the application of an electric field produces an acceleration of the electrons. If we use a relaxation time t to account for the electron-lattice collisions, then we have the equation

dv m +=v=-eE dt T

(a) Solve the equation for the drift velocity in the direction of the applied electric field.
(b) Verify that Ohm’s law is valid, and find the resistivity as a function of n, e, m, and the relaxation time t.

dv m +=v=-eE dt T

Step by Step Solution

★★★★★

3.42 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Electron drift speed is reached fo... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Modern Physics Questions!

We shall consider a model for the spread of a disease in an isolated population, such as the students at a board- ing school. There are three variables: S = the number of susceptibles, the people who...

Consider a model for the mix of male and female children in families. Let Ki denote the family size (number of children), K i = 1, c. Let F i denote the number of female children, F i = 0, ... , K i...

If an objects average velocity is zero over some time interval, show that its instantaneous velocity must be zero at some time during the interval. It may be useful in your proof to sketch a graph of...

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

Please help me with my Lab. Only need to answer Report Tasks/Questions. There are 5 questions in total. Some have a, b, c, etc parts. 1. Electric Field Consider an electric charge exerting forces on...

Please help me with this lab. Only need to answer the "Report Tasks/Questions" 1. Electric Field Consider an electric charge exerting forces on other charges which are separated in space from the rst...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

From the book Networks, Crowds, and Markets: Reasoning about a Highly Connected World. By David Easley and Jon Kleinberg. Cambridge University Press, 2010. Complete preprint on-line at...

Please solve the Problem 2, thanks. bye the way, "all" of information just on the picture, this picture has all and detail information of the assignment. Consider the model: =1,2,...,n, (1) 2) Yi =...

ALL OF INFORMATION JUST ON THIS PICTURE. Consider the model: =1,2,...,n, (1) 2) Yi = x; 3+ u= Bo + B121,i + B2X2,i + ... + BpXp,i + Ui, where x; = [1, X1,1 , X2,1, . . . , Xp,i] and B' = [B0, B1, B2,...

A firm considers to buy a new machine whose expected lifetime is 6 years. The cost of the machine is $ 3 000 000 which is paid in 2023. The expected cash flows of this investment are as follows:...

Select the true items related to stream gauging. Select only the four correct answers. The stage-discharge relationship of a stream can be used for measuring velocity. The elevation of the stream...

Terrace corporation makes an industrial cleaner into sequential departments compounding and drying all material is out at the beginning of the process in the company department conversion costs or...

Why can you never really have 100% confidence of correctly estimating the population characteristic of interest?

Suppose you solve a problem and your calculator's display reads 0.0000000036. Why not just write this down? Is there any advantage to using the scientific notation?

Since the British system of units is more familiar to most people in the United States, why is the international (SI) system of units used for scientific work in the United Slates'

Is it possible to add three equal-length vectors and obtain a vector sum of zero? If so, sketch the arrangement of the three vectors. If not, explain why not.

Assignment Exercise 71: Analyzing Mixed Costs The Education Coordinator decides that the Community College packs may be unduly influencing the high-low computation. She decides to re-run the results...

1. The sustainability of the country's AAA rating is again being questioned after warnings that Australia would be at risk of a downgrade if there are no measures to increase revenue in the next...

1. Glotfelty & Sons has sales of $511,000, a profit margin of 4.8 percent, and 37,000 shares of stock outstanding. What is the price-earnings ratio if the stock sells for $14.00 a share? 21.12 20.79...