123B_1_123B_W 11 Final Exam

123B_1_123B_W 11 Final Exam - EE 123B Final Exam Solid...

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EE 123B Final Exam Solid State II Instructor: Diana Huffaker Due: noon 3/16/11 in Eng IV lab 18-141 (Huffaker lab) Student Name: Student ID# I completed this exam independently and without the consultation of others. Signed: Problem 1 /20 Problem 2 /20 Problem 3 /20 Problem 4 /20 Problem 5 /20 Problem 6 /20 Total /100 For full credit, show all steps involved. Make your work neat and logical. Put a square around important points and final answers. Please complete 5 of the 6 problems.
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1. (20 point - Kittel) Consider a semi-infinite plasma (sea of free electrons) on the positive side of the plane z = 0. (a) What are boundary conditions established by Maxwell’s equations? (b) A solution of Laplace’s equation in the plasma is , whence . Show that in the vacuum satisfies the boundary condition that the tangential component of E be continuous at the boundary; that is, find E x0 . (c) Note that . Show that the boundary condition that the normal component of D be continuous at the boundary requires that
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This note was uploaded on 02/20/2012 for the course EE 123B taught by Professor Dianahuffaker during the Winter '11 term at UCLA.

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123B_1_123B_W 11 Final Exam - EE 123B Final Exam Solid...

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