How to determine where the B feild starts

  • Context: Undergrad 
  • Thread starter Thread starter aglo6509
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on determining the orientation of the magnetic field (B field) in relation to the electric field (E field) in an electromagnetic wave propagating in the positive x direction. When the E field is aligned with the positive z direction, the B field is established in the negative y direction after applying a counter-clockwise rotation about the z-axis. This relationship is derived from the cross product in the wave equation, as detailed in the provided Wikipedia link on electromagnetic radiation.

PREREQUISITES
  • Understanding of electromagnetic wave propagation
  • Familiarity with vector cross products
  • Knowledge of the right-hand rule in physics
  • Basic concepts of wave equations
NEXT STEPS
  • Study the right-hand rule for electromagnetic waves
  • Explore the derivation of the wave equation in electromagnetism
  • Learn about the properties of electromagnetic radiation
  • Investigate the implications of wave polarization
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetic theory will benefit from this discussion.

aglo6509
Messages
63
Reaction score
0
Hello,
This is kind of a simple question but if an EM wave is propagating in the positive x direction and the E field starts in the positive z direction, how do you figure out if the B field starts in the - or + y direction?

Thanks
 
Physics news on Phys.org
Have a look:
http://en.wikipedia.org/wiki/Electromagnetic_radiation#Wave_model

in the article, v is in the +y dir, +E is in the +z dir, so B is in the +x direction.
to get your situation, rotate the axis anti-clockwise about +z ... now v is in the +x direction and B starts out in the -y direction.

The relationship depends on the cross product in the wave equation.
(Scroll down the link for derivation.)

note: the end-on animation shows the view looking down the direction of v.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 73 ·
3
Replies
73
Views
6K
  • · Replies 6 ·
Replies
6
Views
2K