Calculating E Field from B Field of Monochromatic Plane Wave

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Homework Help Overview

The discussion revolves around calculating the electric field (E field) from the magnetic field (B field) of a monochromatic plane wave, specifically given a mathematical expression for the B field. Participants are exploring the relationship between E and B fields in the context of electromagnetic waves.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find the E field in terms of the given B field and expresses confusion about the process, noting that it would be simpler if the E field were provided instead. Some participants introduce a cross-product relationship between E and B fields, while others question the source and validity of the formulas presented.

Discussion Status

The discussion is active, with participants questioning the derivation of certain formulas and seeking clarification on their applicability in different unit systems. There is an indication that some participants are encouraged to engage more deeply with the material, suggesting a mixed level of understanding and exploration of the topic.

Contextual Notes

Participants are navigating the complexities of electromagnetic theory, with references to specific equations and sources, indicating a reliance on established texts for clarification. The original poster's uncertainty about the problem setup and the formulas being used highlights potential gaps in information or understanding.

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Homework Statement


The B field of a monochromatic plane wave is

B~=B0~ exp(i(kz-wt)[sqrt(3)/2 x-hat + 1/2 y-hat]
Find E~ in terms of B0~.
and the polarization angle.


Homework Equations



We know E~=Eo~ exp(i(k.r-wt)nhat
B~=B0~ exp(i(k.r-wt)(k-hat x n-hat)

nhat = cos(theta)xhat + sin(theta)yhat

The Attempt at a Solution


Would have been trivial if given E instead of B.

What do I do?
 
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[tex]{\b E}=-{\hat r}\times{\b B}[/tex] in gaussian units.
 
Where is this formula from? What is it in SI?

B= 1/c script r x E is true, i don't know about E = script r x B, where did u get this fomrula? Where is it in griffith if it is?
 
Last edited:
Do kXB in (9.49). You have to learn to do some things for yourself.
 

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