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:

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Rectangular coordinate system
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,