Electromagnetism Problem (Using Electric field E to find D and B)

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SUMMARY

The discussion focuses on solving an electromagnetism problem involving a propagating electric field expressed as E = Em Sin(wt - bz)j in free space. Participants emphasize the necessity of applying Maxwell's equations to derive the displacement field (D) and the magnetic field (B) from the given electric field. Specifically, the relevant equations include the relationship between electric fields and displacement fields, as well as the connection between electric and magnetic fields in electromagnetic waves. A step-by-step approach is recommended to clarify the reasoning behind each calculation.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with electromagnetic wave propagation
  • Knowledge of vector calculus
  • Concept of electric displacement field (D)
NEXT STEPS
  • Study the derivation of the electric displacement field (D) from the electric field (E) using Maxwell's equations
  • Learn how to calculate the magnetic field (B) from the electric field (E) in electromagnetic waves
  • Explore the physical significance of the parameters omega (ω) and beta (β) in wave propagation
  • Review vector calculus techniques relevant to electromagnetism
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone studying electromagnetic theory, particularly those looking to deepen their understanding of wave propagation and Maxwell's equations.

keith river
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Given a propagating field expressed as E = Em Sin (wt - bz)j in free space, find the displacement (D) and the magnetic field (B) created by this electric field using a relevant maxwell's equation.

note : w is in fact omega
and b is beta.
j is a unit vector.


I don't know how I'm meant to solve this problem could someone post a step by step guide and say why each step is taken if you could. Thanks.
 
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keith river said:
Given a propagating field expressed as E = Em Sin (wt - bz)j in free space, find the displacement (D) and the magnetic field (B) created by this electric field using a relevant maxwell's equation.

note : w is in fact omega
and b is beta.
j is a unit vector.


I don't know how I'm meant to solve this problem could someone post a step by step guide and say why each step is taken if you could. Thanks.

We don't do your homework for you here. You need to make (and show!) a reasonable attempt to get assistance.

As a starting point, the problem statement tells you to use the relevant Maxwell equation, so you might start by writing down Maxwell's equations and then figuring out which one(s) is relevant.:wink:
 

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