Question: (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

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

dL Im[p* x p] 12 dt

(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??

dL Im[p* x p] 12 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 full answer

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