Problem

A small filamentary rectangular loop of dimensions Lx and Ly lies in the xy-plane with its...

A small filamentary rectangular loop of dimensions Lx and Ly lies in the xy-plane with its center at the origin and sides parallel to the x- and y-axes. The loop carries a current i(t) = I0 cos ωt. Assuming Lx and Ly to be much less than the wavelength, find the instan­taneous expressions for the following quantities at a point in the far zone:

a) vector magnetic potential A,


b) electric field intensity E,


c) magnetic field intensity H.

Compare the results in parts (b) and (c) with Eqs. (11–30a) and (11 -30b), respectively.

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