Suppose the (electrically neutral) y z plane carries a time-dependent but uniform surface current K(t) z.

(a) Find the electric and magnetic fields at a height x above the plane if

(i) A constant current is tumed on at t = 0:

(ii) A linearly increasing current is turned on at t = 0:

(b) Show that the retarded vector potential can be written in the form and from this determines E and B.

(c) Show that the total power radiated per unit area of surface is Explain what you mean by "radiation," in this case, given that the source is not localized.

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