For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling? y E
For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling? y E
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Electromagnetic Wave Direction in Free Space**
**Problem Statement:**
For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling?
**Diagram Explanation:**
The diagram consists of a three-dimensional coordinate system. The axes are labeled as x, y, and z. There are two vectors shown:
- The electric field vector \( \mathbf{E} \) is directed along the +z axis.
- The magnetic field vector \( \mathbf{B} \) is directed along the +x axis.
Given these vectors, you need to determine the direction of wave propagation.
**Answer Options:**
- \( \mathbf{+y} \)
- \( \mathbf{+z} \)
- \( \mathbf{+x} \)
- \( \mathbf{-x} \)
- \( \mathbf{-y} \)
**Analysis:**
Using the right-hand rule, where the thumb points in the direction of the electric field (\( \mathbf{E} \)), the fingers point in the direction of the magnetic field (\( \mathbf{B} \)), the palm will naturally point in the direction of wave propagation. Hence, the wave travels in the +y direction.
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