P3.26. Writing field expressions for an infinite plane current sheet source. Given Is = 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 planc:
P3.26. Writing field expressions for an infinite plane current sheet source. Given Is = 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 planc:
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb6e49c2-d01d-4438-a99a-92f670cec770%2F98ee6f37-e214-49d8-a853-acc0a88069bb%2Fl0jcvxr_processed.png&w=3840&q=75)
Transcribed Image 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.
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