Consider the term in Eq. (14) (or in Eq. (10)) that gives the 1/r 2 dependence in the Hertzian dipole magnetic field. Assuming this term dominates and that kr << 1, show that the resulting magnetic field is the same as that found by applying the Biot€“Savart law (Eq. (2), Chapter 7) to a current element of differential length d, oriented along the z axis, and centered at the origin.

Eq. (14)

Eq. (10)

Eq. (2)

Transcribed Image Text:

7!/2 Iokd sin 0 exp[-j(kr Hos – 84)] 1+ (kr)? 4πr Iod Høs - sin 0 e¯jkr 4л .2 r2