Suppose the (electrically neutral) yz plane carries a time-dependent but uniform surface current

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

(i) a constant current is turned 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 determine 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.22

Step 1 of 5</p>

In this problem, we have solve for all a, b and c. In the first part, we have to find the electric and magnetic field so the free body diagram of this problem is given below.

Step 2 of 5</p>

Step 3 of 5</p>

A)

The maximum is given by

Now for (1)

where and

where and

Now for (2)

where and

and