pset4 - ELEC 262 Problem Set 4 Reading Hecht Sections 4.1...

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ELEC 262 - Problem Set 4 Due: In class, Wednesday, Feb. 4th Reading: Hecht, Sections 4.1 – 4.5, 4.8 1. Assume that the dielectric function of aluminum in the x-ray region of the spectrum is exactly described by the model we developed in class for the high-frequency behavior of metals. The reflectivity of aluminum is shown on slide 10 of lecture 10. (a) From the reflectivity data, estimate the plasma frequency (in Hz) of aluminum. (b) Compute the refractive index of aluminum for x-rays, with a wavelength of 2 nanometers. (c) For frequencies above the plasma frequency, does aluminum exhibit normal or anomalous dispersion? 2. A cyclotron is a machine that sends charged particles (like electrons) round and round in a circular orbit. Assuming that the electrons accelerated in this device are moving at essentially the speed of light (in fact, they move at a tiny bit less than c 0 , but the difference is insignificant), determine how many orbits one electron completes in one second, and also determine how much energy each electron radiates per orbit.
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This note was uploaded on 11/23/2009 for the course ELEC 262 taught by Professor Mittleman during the Spring '09 term at Rice.

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pset4 - ELEC 262 Problem Set 4 Reading Hecht Sections 4.1...

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