Question: (a) Show that for the simple harmonic motion of a charge discussed in Problem 14.12 the average power radiated per unit solid angle in the

(a) Show that for the simple harmonic motion of a charge discussed in Problem 14.12 the average power radiated per unit solid angle in the mth harmonic is

dPm ecB? UP 2 ma? m tan?e J(mB cos 0)

(b) Show that in the nonrelativistic limit the total power radiated is all in the fundamental and has the value

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where α2 is the mean square amplitude ofoscillation.

dPm ecB? UP 2 ma? m tan?e J(mB cos 0)

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