Dipole antenna and electromagnetic waves

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SUMMARY

The discussion centers on the analysis of dipole antennas and their relationship with electromagnetic waves. Participants confirm the use of relevant equations, specifically addressing the equality of electric and magnetic energy densities. A critical point raised involves the incorrect value of the permittivity of free space (ε₀), indicating a significant error in calculations. This highlights the importance of accurate constants in electromagnetic theory.

PREREQUISITES
  • Understanding of dipole antennas and their function in electromagnetic theory
  • Familiarity with Maxwell's equations and their application
  • Knowledge of energy density concepts in electric and magnetic fields
  • Proficiency in using constants such as permittivity of free space (ε₀)
NEXT STEPS
  • Review the derivation of energy density equations in electromagnetic fields
  • Study the properties and calculations involving dipole antennas
  • Learn about the significance of constants in electromagnetic equations, focusing on ε₀
  • Explore advanced topics in antenna theory, including radiation patterns and efficiency
USEFUL FOR

Students in electrical engineering, physicists studying electromagnetic theory, and professionals involved in antenna design and analysis.

aChordate
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Homework Statement



photo(1).jpg


Homework Equations



photo(2).jpg


The Attempt at a Solution



see last attachment

I am not sure if I used the right equations or not.
 
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aChordate said:

Homework Statement



View attachment 60162

Homework Equations



View attachment 60163

The Attempt at a Solution



see last attachment

I am not sure if I used the right equations or not.

I think you are using the right equations as far as I've read. The electric energy density is equal to the magnetic energy density, etc. But isn't your value for ##\epsilon_0## way off? You've got completely the wrong exponent.
 

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