homework_13

# homework_13 - the loop Hint We computed the emission when...

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ELECTRODYNAMICS PROBLEM SET 13- THE LAST ONE due May 4 th , before class I. SCATTERING OF LONG WAVES FROM A DIELECTRIC SPHERE Compute the (diﬀerential) scattering cross section of a dielectric sphere with dielectric constant ± and radius R . Assume the wavelength of the incoming wave λ is much larger than R . Hint: The incoming wave will polarize the sphere and its magnetic moment will radiate. II. EMISSION PATTERN OF A PARTICLE MOVING AROUND A CIRCLE Consider a relativistic particle moving around a circle of radius a with angular frequency ω . Compute the power emitted averaged over cycles as a function of the angle between the direction of emission and the axis going through
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Unformatted text preview: the loop. Hint: We computed the emission when the velocity and the acceleration are orthogonal in class already. All you have to do is to average over a full turn. It should be possible although I have never done it. III. CLASSICAL ATOMS ARE UNSTABLE The classical model of an atom has an electron in a circular orbit around the nucleus. Classically, the electron should radiate, loose energy and fall into the nucleus. Estimate how long it would take for an electron to fall into a nucleus....
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## This note was uploaded on 12/29/2011 for the course PHYSICS 606 taught by Professor Bedaque during the Spring '11 term at Maryland.

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