Energy in electromagnetic waves

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SUMMARY

The discussion focuses on calculating the electric and magnetic field amplitudes in an electromagnetic wave with an average energy density of 3.0 J/m3. The relevant equations include the energy density formulas: u = (1/2)ε0E2 + (1/2μ0)B2, u = ε0E2, and u = B20. The participant initially struggled with the calculations but ultimately resolved the issue without needing to change units or equations.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with energy density equations in electromagnetism
  • Knowledge of the constants ε0 (permittivity of free space) and μ0 (permeability of free space)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of energy density equations in electromagnetic waves
  • Learn about the relationship between electric and magnetic fields in free space
  • Explore the implications of ε0 and μ0 in electromagnetic theory
  • Investigate practical applications of electromagnetic wave calculations in technology
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the mathematical foundations of electromagnetic waves.

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Homework Statement



Find the electric and magnetic field amplitudes in an electromagnetic wave that has an average energy density of 3.0 J/m3.

Homework Equations



u=1/2 eo E^2 + 1/(2uo) B^2
u=eo E^2
u=B^2 /uo

The Attempt at a Solution



I tried using these equations, but I wasn't getting the right answer. Do I have to change the units or am I just using the wrong equations?
 
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just kidding...I figured it out :)
 
how do you do it?!
 

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