Calculating E Field from B Field of Monochromatic Plane Wave

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SUMMARY

The discussion centers on calculating the electric field (E) from the magnetic field (B) of a monochromatic plane wave represented by the equation B = B0 exp(i(kz - wt)[√3/2 x-hat + 1/2 y-hat]). The relationship E = -r x B in Gaussian units is highlighted, with a request for clarification on its origin and SI equivalents. Participants emphasize the need for self-learning and reference to Griffiths' textbook for deeper understanding.

PREREQUISITES
  • Understanding of electromagnetic wave equations
  • Familiarity with vector calculus and cross products
  • Knowledge of Gaussian and SI unit systems
  • Basic concepts of polarization in electromagnetic waves
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  • Study the derivation of E = -r x B in Gaussian units
  • Review Griffiths' "Introduction to Electrodynamics" for relevant equations
  • Learn about the relationship between electric and magnetic fields in plane waves
  • Explore the implications of polarization angles in electromagnetic waves
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Students and professionals in physics, particularly those studying electromagnetism, as well as educators seeking to clarify the relationship between electric and magnetic fields in wave phenomena.

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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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{\b E}=-{\hat r}\times{\b B} 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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