solution1 - ELEG240 Spring 2005 Homework 1 solution 1 You...

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ELEG240- Spring, 2005 Homework 1, solution 1. You are designing an integrated circuit and must have a 1000 ohm resistor defined on the chip. The resistor will have a length of 100 microns and a width of 5 microns. You have chromium available as a metal, whose conductivity is 7.7x10 6 1/(ohm-meter). What thickness must the resistor be? ANSWER: By equations 1.10 and 1.11 from the textbook, LL SW h R σσ == , where h is the thickness of the metal. Thus, -6 9 6- 6 L 100 10 h2 . 6 1 0 W (7.7 10 )(5x10 )(1000) x x Rx σ = meters = 2.6 nanometers. 2. From the periodic table of the elements and given that the density of chromium is 7.2 grams/cm 3 , estimate the scattering time in chromium. Assume one free electron per atom. ANSWER: From the periodic table of the elements, chromium has an atomic mass of 52 atomic mass units, which are about the mass of a proton, which is 1.67x10 -27 kg. Thus the mass of a chromium atom is 8.68x10 -26 kg. Converting the density of chromium into MKS units, 63 33 3 11 0 7.2 ( ) ( ) 7200 1000 grams kg cm kg xx cm g m m = .

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This note was uploaded on 04/07/2008 for the course ELEG 240 taught by Professor Buma during the Spring '08 term at University of Delaware.

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solution1 - ELEG240 Spring 2005 Homework 1 solution 1 You...

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