Relating B and E in an electromagnetic wave

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SUMMARY

The relationship between the electric field (E) and magnetic field (B) in an electromagnetic wave is defined by the equation E = cB, where c represents the speed of light. The maximum magnetic field (B(max)) is indeed related to the root mean square (B(rms)) value by the factor of sqrt(2), confirming that B(max) = sqrt(2) x B(rms). This relationship is crucial for understanding the properties of electromagnetic waves.

PREREQUISITES
  • Understanding of electromagnetic wave theory
  • Familiarity with the concepts of root mean square (RMS) values
  • Knowledge of the speed of light (c) in vacuum
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the relationship between E and B in electromagnetic waves
  • Learn about the implications of RMS values in wave physics
  • Explore the properties of electromagnetic waves in different media
  • Investigate the applications of E and B field relationships in technology
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators and professionals seeking to reinforce their understanding of electromagnetic wave properties.

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Homework Statement



I need to determine B(rms) in terms of E(max) given a standard E-M wave.

Homework Equations



E = cB

The Attempt at a Solution



I assumed that B(max) is sqrt(2) x B(rms) and then just plugged in for B(max) in the equation above. Am I right in assuming the rms value involves a square root? (I get confused if it's 2 or sqrt(2))
 
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You are right. The max value is greater than the rms value by a factor of sqrt(2).
 

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