We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities. Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B . Then write a symbolic vector expression for the E -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field.   A) The frequency of this wave is f=3.060e+06 Hz. What is the scalar value of the magnetic field at t=1.29e−07 s? You can still assume that z=0, and that B0 = .0056 T .    For m answer I got .0059 T which is wrong.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 46P: A plane electromagnetic wave of frequency 20 GHz moves in the positive y-axis direction such that...
icon
Related questions
Question

We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities.

Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your -field should vary like sine or like cosine, and write a symbolic vector expression for . Then write a symbolic vector expression for the -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the -field.

 

A) The frequency of this wave is f=3.060e+06 Hz. What is the scalar value of the magnetic field at t=1.29e−07 s? You can still assume that z=0, and that B0 = .0056 T .   

For m answer I got .0059 T which is wrong.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Maxwell Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning