(Solution) - Treat the linear antenna of Problem 9 16 by the multipole -(2025 Original AI-Free Solution)

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Treat the linear antenna of Problem 9.16 by the multipole expansion method.
(a) Calculate the multipole moments (electric dipole, magnetic dipole, and electric quadrupole) exactly and in the long-wavelength approximation.
(b) Compare the shape of the angular distribution of radiated power for the lowest nonvanishing multipole with the exact distribution of Problem 9.16.
(c) Determine the total power radiated for the lowest multipole and the corresponding radiation resistance using both multipole moments from part a. Compare with Problem 9.16b. Is there a paradox here?