Energy and Momentum in Electromagnetic waves

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SUMMARY

The discussion focuses on calculating the energy carried by a sinusoidal electromagnetic wave through a window with an area of 0.5 m², where the root mean square (rms) electric field value is 0.02 V/m. The Poynting vector, defined as S = E²/(cμ₀), is utilized to determine the energy flow. The user successfully calculated the energy transfer over a 30-second interval, confirming the effectiveness of the Poynting vector in analyzing electromagnetic wave energy.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the Poynting vector and its significance
  • Knowledge of root mean square (rms) values in electric fields
  • Basic concepts of energy transfer in physics
NEXT STEPS
  • Study the derivation and applications of the Poynting vector in different contexts
  • Explore the relationship between electric and magnetic fields in electromagnetic waves
  • Learn about energy transfer calculations in various waveforms
  • Investigate the implications of electromagnetic wave energy in practical scenarios
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetic waves and energy transfer analysis.

desibrij_1785
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Help me...

A sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of .5m^2. At the window, the electic field of the wave has rms value of .02 V/m. How much energy does this wave carry through the window during a 30sec commercial?
 
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Poynting vector describes energy flow

The rate of energy flow per unit area of an electromagnetic wave is given by the Poynting vector:
[tex]\vec{S} = \frac{1}{\mu_0} \vec{E} \times \vec{B}[/tex]

The magnitude of the Poynting vector can be shown to be:
[tex]S = \frac{E^2}{c\mu_0}[/tex]
 
thanks for the reply but i found the answer
 

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