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MSE Problem Set 2 Solns 2011 [Ch 2 TCR Mix]

# MSE Problem Set 2 Solns 2011 [Ch 2 TCR Mix] - MSE 310-ECE...

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MSE 310-ECE 340 Dept. of Materials Science & Engineering Electrical Properties of Materials Fall 2011/Bill Knowlton 1 Problem Set 2 Solutions 1. The electrons in a certain material have the following properties: drift velocity is 10 3 m/s, the mobility is 40 2 cm V s and the mean thermal energy is 10 meV. Determine the following additional properties of the electrons. Assume the Drude model. a. Determine the electric field experienced by the electrons b. Determine the temperature of electrons. c. Determine the mean time between electron collisions in units of seconds. d. Determine the diffusivity of the electrons in units of cm 2 /s. e. Assume the certain material in this problem is Cu. Determine the conductivity for Cu in units of (ohm cm) -1 . f. Assume the certain material in this problem is Al, which is trivalent. Determine the conductivity for Al in units of (ohm cm) -1 .

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MSE 310-ECE 340 Dept. of Materials Science & Engineering Electrical Properties of Materials Fall 2011/Bill Knowlton 2 μ mob
MSE 310-ECE 340 Dept. of Materials Science & Engineering Electrical Properties of Materials Fall 2011/Bill Knowlton 3 2. By comparing equations [2.17] with [2.19] in Kasap, do the following: a. Mathematically determine what A and B are relative to o , o and o . Show all work and fully simplify your answers. b. Using your answer in part a, use equation [2.17] and Table 2.1 to pose a question and then provide a fully derived solution to your question. That is, you are now the instructor that needs to pose a question and provide a solution.

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MSE 310-ECE 340 Dept. of Materials Science & Engineering Electrical Properties of Materials Fall 2011/Bill Knowlton 4 Table 1: Resistivity Data for Aluminum Temperature (°C) Resistivity ( μΩ cm) 20 2.67 27 2.733 100 3.55 127 3.87 200 4.78 227 4.99 300 6.99 3.27 6.13 400 7.3 427 8.7 From Smithells Metals Reference Book 8th Edition Section 14-3 3. ABET QUESTION : The resistivity of pure aluminum (assume no defects are present) as a function of temperature will be explored in this problem. The data in Table 1 lists the
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• Spring '10
• BillKnowlton
• Condensed matter physics, Electrical conductivity, Dept. of Materials Science & Engineering, MSE 310-ECE

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