What is the formula for calculating average power of electromagnetic waves?

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SUMMARY

The formula for calculating the average power of electromagnetic waves is given by Savg = Em * Bm / (2*μ0 * c). In this equation, Savg represents the average power, Em is the maximum electric field strength, and Bm is the maximum magnetic field strength. The calculation focuses solely on the maximum values of the electric and magnetic fields, making the result independent of frequency or position. This approach simplifies the analysis of electromagnetic wave power without the need to consider the cosine function.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the Poynting vector concept
  • Knowledge of the constants μ0 (permeability of free space) and c (speed of light)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the Poynting vector
  • Learn about the significance of maximum field values in electromagnetic theory
  • Explore the relationship between electric and magnetic fields in wave propagation
  • Investigate applications of electromagnetic wave power calculations in engineering
USEFUL FOR

Students studying electromagnetism, physics educators, and engineers working with electromagnetic wave applications will benefit from this discussion.

blackbyron
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Homework Statement



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Homework Equations


Savg = Em * Bm / (2*μ0 * c)


The Attempt at a Solution


I solved for S avg without calculating inside the cos, but I got it right.

The z and t is given, but is there the reason why you don't solve inside the cos, or is it the bug? it's makes me confused.

Thanks
 
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Savg = Em * Bm / (2*μ0 * c)

What do Savg, Em and Bm mean?

ehild
 
I see, I look at my teacher's notes and saw the exact equation.

So to solve for Savg, it only cares about the maximum values right?
 
Right, the result is independent of frequency or position.
 
Thanks for your help.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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