Why is the Electric Field Magnitude Zero in the Z Direction for an EM Wave?

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SUMMARY

The electric field magnitude is zero in the z direction for an electromagnetic (EM) wave propagating in the +z direction due to the principles outlined in Maxwell's Equations. These equations dictate that the electric and magnetic fields oscillate perpendicular to the direction of wave propagation. Consequently, in an EM wave traveling along the z-axis, the electric field can only oscillate in the x-y plane, resulting in a zero magnitude in the z direction.

PREREQUISITES
  • Understanding of Maxwell's Equations
  • Basic knowledge of electromagnetic wave propagation
  • Familiarity with vector fields in physics
  • Concept of perpendicular oscillations in wave mechanics
NEXT STEPS
  • Study the implications of Maxwell's Equations on electromagnetic waves
  • Explore the relationship between electric and magnetic fields in wave propagation
  • Learn about the polarization of electromagnetic waves
  • Investigate the mathematical representation of EM waves in different media
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone interested in understanding the fundamentals of electromagnetic wave behavior and propagation.

ksnf3000
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Hello All,

I am a masters student in electronics engg and reading technical electrodynamics.
Please let me know why the magnitude of the electric field is zero in the z direction if we consider a wave propagating in the +ve z direction. Mathematically, it is clear; however i would like to physically understand why this is happening.

Quick replies will be highly appreciated!

Thanks and Regards,

ksnf3000
 
Physics news on Phys.org
"Because Maxwell's Equations are true." Seroiusly, that's the answer to your question. It comes as a result of Maxwell's equations that, in an EM wave, the directions of oscillation of the electric and magnetic fields must both be perpendicular to the direction of wave propagation.
 

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