Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 7OQ
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A piece of silicon semiconductor has length L=0.01cm and cross-section in a square shape with an area of A=5×10−4cm2 . The semiconductor is doped with 1012cm−3 Phosphorus atoms and 1017cm−3 Boron atoms. An external electric field E=1.5×104N/C is applied to the silicon piece along the length direction, through the cross section. What is the total current in the silicon at T=300K? Assume the mobility of silicon is 1400cm2V−1s−1 for electrons and 450cm2V−1s−1 for holes, respectively. Assume the intrinsic carrier concentration in silicon is 1010cm−3 . Give your answer in mA, rounded to 3 significant figures. Just enter the number, nothing else.
An impurity with a charge of 2e is placed in a three-dimensional metal. Assume that the Friedel sum rule holds for this system, and only the scattering phase shifts from the electrons contribute to this sum (we don't need to consider ion phase shifts). This metal has a spherical Fermi surface with Fermi wave vector kF . The only degeneracy for the electrons at the Fermi surface is spin (two-fold) and angular momentum ( 2l+1 for each angular momentum l ). Ignore scattering for l>2 and assume that the scattering doesn't depend on the spin degree of freedom. Denote the scattering phase shift at the Fermi wave vector in the l -th angular momentum channel as δl(kF) . If δ0(kF)=11π31 , and δ1(kF)=π29 , what is δ2(kF)? Round your answer to three significant figures. Just enter the number, nothing else.
Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 31.2 - Given the identification of the particles in...Ch. 31.5 - Prob. 31.2QQCh. 31.5 - Prob. 31.3QQCh. 31.5 - Prob. 31.4QQCh. 31.9 - Prob. 31.5QQCh. 31 - Prob. 1OQCh. 31 - Prob. 2OQCh. 31 - Prob. 3OQCh. 31 - Prob. 4OQCh. 31 - Prob. 5OQ
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