How to Calculate RMS Magnetic Field Strength from Sunlight Power Density?

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SUMMARY

The discussion focuses on calculating the root mean square (RMS) magnetic field strength from the power density of sunlight, which is approximately 1 kilowatt/meter². The user attempted to use the equation for power density, S = E(rms)² = √(εμ), and substituted B(rms)/c for E(rms) but encountered difficulties in arriving at the correct solution. The conversation emphasizes the importance of showing full calculations to identify errors in the approach.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically the relationship between electric and magnetic fields.
  • Familiarity with the equations for power density and RMS values.
  • Knowledge of constants such as permittivity (ε) and permeability (μ) of free space.
  • Basic algebraic manipulation skills for solving equations.
NEXT STEPS
  • Review the derivation of the power density equation S = E(rms)² = √(εμ).
  • Learn about the relationship between electric field strength and magnetic field strength in electromagnetic waves.
  • Study the concept of RMS values in the context of alternating current (AC) circuits.
  • Explore practical applications of calculating magnetic field strength in various fields of physics.
USEFUL FOR

Students studying electromagnetism, physics enthusiasts, and anyone involved in calculations related to electromagnetic fields and power density.

clayton26
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Homework Statement


the power density of sunlight, at the earth, is roughly 1 kilowatt/meter^2. How large is the rms magnetic field strength?

Homework Equations



The Attempt at a Solution


I tried using the equation for power density S = E(rms)^2=√(εμ), then substituting B(rms)/c for E(rms), and subsequently solving for B(rms). However this does not give me the correct solution and I am now confused
 
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hi clayton261! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:)

show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

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