Find the rms electric field strength of a given EM wave

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SUMMARY

The discussion centers on calculating the root mean square (rms) electric field strength and rms magnetic field strength of an electromagnetic wave with an intensity of 127 W/m². The correct rms electric field strength (Erms) is determined to be 219 V/m. The participant initially misused this value in calculating the rms magnetic field strength (Brms), leading to an incorrect result. Upon clarification, it was established that Erms should be used to find Brms using the equation Brms = Erms/c, where c is the speed of light (approximately 2.998 x 10^8 m/s).

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the equations relating electric and magnetic fields
  • Knowledge of root mean square (rms) calculations
  • Basic grasp of intensity in electromagnetic waves
NEXT STEPS
  • Study the relationship between electric field strength and magnetic field strength in electromagnetic waves
  • Learn how to derive rms values from peak values in wave equations
  • Explore the implications of electromagnetic wave intensity on field strengths
  • Review the speed of light and its role in electromagnetic wave calculations
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators and anyone seeking to understand the calculations related to electromagnetic wave properties.

henrco
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Hi,

I was able to correctly calculate the answer to part 1 below but the answer to part 2 is incorrect
and I cannot see the error of my ways... any help gratefully received.

1. Homework Statement

An electromagnetic wave has an intensity of 127 W/m2.

1) Find its rms electric field strength.
2) Find its rms magnetic field strength.

Homework Equations



Bo = Eo/c

Brms = B/sqr(2)

The Attempt at a Solution



Answer to part 1 : Eo = 219 V/m

Part 2

Calculate Bo = 219/2.998 x 10^8 = 7.3 x 10^-7

Brms = (7.3 x 10^-7)/sqr(2) = 5.17 x 10^-7 T

This answer for part 2, doesn't match the expected answer.
 
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Does the answer to part 1 give E0 or Erms? How do you find Brms from Erms?
 
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Likes   Reactions: henrco
Thank you for replying and your question helped me understand my mistake.

Part 1's answer was Erms, and I was using this answer for part 2 instead of using Eo.
When I recalculated using the correct value I got the answer I expected.
 

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