Solution to 1986 Problem 53

The power radiated per unit solid angle for an oscillating electric dipole is proportional to \sin^2 \theta, where \theta is the angle between the electric dipole moment and point where the radiation is being measured. This implies that the radiated power per unit solid is 0 along the x axis and maximum on the y-z plane. This implies that it is answer (A) or (C) that is correct. To determine whether the electric field is the xy-plane or in the \pm z direction, recall that the electric field in the radiation zone of an oscillating electric dipole is in the \hat{\theta} direction which in this case is in the x-y plane. Therefore, answer (C) is correct.

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