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University Physics, Volume 3 | 17th Edition | ISBN: 9781938168185 | Authors: Samuel J. Ling ISBN: 9781938168185 2032

Solution for problem 93 Chapter 9

University Physics, Volume 3 | 17th Edition

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University Physics, Volume 3 | 17th Edition | ISBN: 9781938168185 | Authors: Samuel J. Ling

University Physics, Volume 3 | 17th Edition

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Problem 93

Show that the average energy of an electron in a one-dimensional metal is related to the Fermi energy by \(\bar{E}=\frac{1}{2} E_{\mathrm{F}}\).

Text Transcription:

bar E=1/2 E_F

Step-by-Step Solution:
Step 1 of 3

Chapter 21: electric current & DC - circuits Overview: Charges in motion - Mechanical motion - Electric current How charges move in a conductor Definition of electric current ● Charges in motion Up to now we have considered - Fixed charges on isolated bodies - Motion under simple forces (e.g. a single charge moving in a constant electric field) We have also considered conductor - Charge are free to move - We also said that E=0 inside a conductor If E=0. and there is any friction present. No charges will move. Create electric field inside , so that charge will move. Make electric potential at both end of the conductor. ● Charges in motion We know from experience that charges do move inside conductors - this is the definition of a conductor Is there a contradiction No Up to now we have considered isolated conductors in equilibrium - Charge has nowhere to go except shift around on the body - Charges shift until they cancel the E field, then come to rest. Now we consider circuits in which charges can circulate if driven by a force such as a battery. ● Analogy with fluids Consider a hose filled with water: - Need a difference of potential for fluid to flow - Same is true for electric charges Need to have one electric potential higher than another. ● Current definition ▯ Consider charges moving down a conduction in which there is an electric field. If we take a cross , over some amount of time Δt we will count a certain number of charges (or total amount of charge) ΔQ

Step 2 of 3

Chapter 9, Problem 93 is Solved
Step 3 of 3

Textbook: University Physics, Volume 3
Edition: 17
Author: Samuel J. Ling
ISBN: 9781938168185

University Physics, Volume 3 was written by Aimee Notetaker and is associated to the ISBN: 9781938168185. This textbook survival guide was created for the textbook: University Physics, Volume 3 , edition: 17. The answer to “?Show that the average energy of an electron in a one-dimensional metal is related to the Fermi energy by \(\bar{E}=\frac{1}{2} E_{\mathrm{F}}\).Text Transcription:bar E=1/2 E_F” is broken down into a number of easy to follow steps, and 24 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 11 chapters, and 1216 solutions. Since the solution to 93 from 9 chapter was answered, more than 206 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 93 from chapter: 9 was answered by Aimee Notetaker, our top Physics solution expert on 03/18/22, 10:28AM.

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