An ideal electric dipole is situated at the origin; its dipole moment points in the Z direction,

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An ideal electric dipole is situated at the origin; its dipole moment points in the Ẑ direction, and is quadratic in time: 

(a) Use the method of Section 11.1.2 to determine the (exact) electric and magnetic fields, for all r > 0 (there’s also a delta-function term at the origin, but we’re not concerned with that). 

(b) Calculate the power, P(r, t), passing through a sphere of radius r .(c) Find the total power radiated (Eq. 11.2), and check that your answer is consistent with Eq. 11.60..

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