Energy carried by Electromagnetic Waves

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SUMMARY

The discussion focuses on calculating the root mean square (rms) values of the electric field (E) and magnetic field (B) in an electromagnetic wave emitted by an industrial laser, with an average intensity (S) of 1.24E9 W/m². The calculations yield an rms electric field value of approximately 683405.7 N/C and a magnetic field value of 0.00228 T. The formulas used include S = cε₀E² and E = cB, where c is the speed of light and ε₀ is the permittivity of free space. Attention to significant figures is crucial for accuracy in the final answers.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with the equations for electromagnetic fields
  • Knowledge of significant figures in scientific calculations
  • Basic proficiency in physics, particularly optics and electromagnetism
NEXT STEPS
  • Review the derivation of electromagnetic wave equations
  • Learn about the implications of significant figures in physics calculations
  • Explore the applications of lasers in industrial settings
  • Study the relationship between intensity and field strengths in electromagnetic waves
USEFUL FOR

Students in physics courses, particularly those studying electromagnetism, as well as professionals working with lasers in industrial applications will benefit from this discussion.

Gannon
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Homework Statement


An industrial laser is used to burn a hole through a piece of metal. The average density of the light is S = 1.24E9 W/m2. What is the rms value of each of the following fields in the electromagnetic wave emitted by the laser?


Homework Equations


S = ceoE2
S = (c/uo)B2
E=cB
S is average density and E,B are rms values.

The Attempt at a Solution


Solving for E:
sqrt(S/ceo) = E
sqrt(1.24E9/(3e8 x 8.85E-12)) = E = 683405.7 N/C

Solving for B:
E = cB
E/C = B
4.67E11/3E8 = .00228T

I have 5 tries to get this homework right and I'm down to my last one. I want to make sure I'm not leaving anything out this time. Any help is appreciated!
 
Physics news on Phys.org
Looks good. You might need to watch the significant figures on the answer for E, they checked for that.
 

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