Electric and Magnetic field Transformation

Click For Summary

Homework Help Overview

The discussion revolves around the transformation of Electric and Magnetic fields during a rotation around the z-axis, specifically exploring how these fields behave as ordinary vectors under such transformations.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks clarification on the meaning of "transform as an ordinary vector." Some participants provide references to rotation matrices and suggest looking up specific resources for further understanding.

Discussion Status

The conversation includes attempts to clarify the mathematical representation of the rotation matrix and its application to the Electric and Magnetic fields. While some guidance has been offered regarding the rotation matrix, there is no explicit consensus on the interpretation of the transformation process.

Contextual Notes

Participants have noted the lack of a direct link to the referenced pdf, which may contain additional context or examples relevant to the problem.

fys iks!
Messages
40
Reaction score
0

Homework Statement



Considering a rotation around the z-axis, show that the Electric and Magnetic fields fields transform as ordinary vectors.


Homework Equations




The Attempt at a Solution



Could someone please clarify for me I'm not sure what they mean by "transform as an ordinary vector"? If you Google the problem statement the first link to a pdf shows the problem.

Thanks for your time.
 
Physics news on Phys.org
Are you too busy to include a link to the pdf? Sorry, man. I'm too busy to help you.

Seriously, if R(φ) is your rotation matrix describing the rotation around the z axis by an angle φ, then E' = R E and the same for the B field.
 
ok i can see that, but what would the rotational matrix look like if is about the z axis?
 
Just google for "Rotation matrix z axis", the first link will provide you with an answer ;)
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
19
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
1
Views
2K