(a) Show that a classical oscillating electric dipole p with fields given by (9.18) radiates electromagnetic angular...

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(a) Show that a classical oscillating electric dipole p with fields given by (9.18) radiates electromagnetic angular momentum to infinity at the rate

(b) What is the ratio of angular momentum radiated to energy radiated? Interpret.

(c) For a charge e rotating in the x-y plane at radius ? and angular speed ?, show that there is only a z component of radiated angular momentum with magnitude dLz/dt = ?²k³?²/6??₀. What about a charge oscillating along the z axis?

(d) What are the results corresponding to parts ? and b for magnetic dipole radiation??

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Classical Electrodynamics

ISBN: 978-0471309321

3rd Edition

Authors: John David Jackson

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Question Posted: Sep 08, 2011 09:06 AM

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(a) Show that a classical oscillating electric dipole p with fields given by (9.18) radiates electromagnetic angular...

Question:

dL Im[p* x p] 12πεο dt

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a To obtain the electromagnetic angular momentum we begin with the linear momentum density Denoting the angular momentum density by m we then have sim...View the full answer

Classical Electrodynamics

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