P3.26. Writing field expressions for an infinite plane current sheet source. Given Js = 0.2(V3a, + a,) cos 67 x 10°t A/m in the z = 0 plane in free space, find E and H for z s 0. Use the following...

Extracted text: P3.26. Writing field expressions for an infinite plane current sheet source. Given Js = 0.2(V3a, + a,) cos 67 x 10°t A/m in the z = 0 plane in free space, find E and H for z s 0. Use the following three steps, which are generalizations of the solution to the electromagnetic field due to the infinite plane current sheet in the z = 0 plane: 1. Write the expression for H on the sheet and on either side of it, by noting that [I1]:-0- Js x (La.) J, x ar. where a, is the unit vector nor- mal to the sheet and directed toward the side of interest. 2. Extend the result of step 1 to write the expression for Heverywhere, that is, for z * 0, considering ihe traveling wave character of the fiekls 3. Write the solution for E everywhere by noting that (a) the amplitude of E = x the amplitude of H, and (b) the direction of E, the direction of H, and the direction of propagation constitute a right-handled orthogonal set, so that E = TH x ag.