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- An almost spherical surface defined by

has inside it a uniform volume distribution of charge totaling
. The small parameter
varies harmonically in time at the angular frequency
. This corresponds to a surface waves
on a sphere. Keeping only the lowest-order terms in
, and making the long-wavelength approximation,
calculate the nonvanishing multipole moments, the angular distribution of radiation, and the total
radiated power.

- The uniform charge density of the previous exercise is replaced by a uniform magnetization parallel
to the
-axis and having a total magnetic moment
. With the same approximations as in the previous
exercise, calculate the nonvanishing multipole moments, the angular distribution of radiation, and the total
radiated power.

Richard Fitzpatrick
2014-06-27