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Nature Of Electromagnetic Waves

Easyphysics

In a plane electromagnetic wave travelling through vacuum, how are the oscillating electric field, the oscillating magnetic field, and the direction of propagation oriented relative to one another?

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About This Question

Subject
physics
Chapter
electromagnetic waves
Topic
nature of electromagnetic waves
Difficulty
Easy
Year
2025
Tags
transverse waveelectric and magnetic fieldswave propagationmutual perpendicularityPoynting direction

Solution

Correct Answer:

All three are mutually perpendicular

An electromagnetic wave is transverse, meaning the field oscillations occur at right angles to the direction in which energy travels. Maxwell's equations require that the electric field \vec{E}, the magnetic field \vec{B}, and the propagation direction form a right-handed mutually perpendicular set, with \vec{E} \times \vec{B} pointing along the direction of travel. The two fields oscillate in phase, reaching their maxima and zeros together, and their magnitudes are linked by E = cB. Saying the electric field is parallel to the magnetic field contradicts the cross-product structure that defines wave propagation. Claiming both fields point along the propagation direction would make the wave longitudinal, which electromagnetic waves are not. The final option is self-contradictory because perpendicular fields cannot both lie along a single propagation axis. This transverse, mutually perpendicular geometry is the defining picture presented in the NCERT Electromagnetic Waves chapter and underlies polarization. A simple consistency check: only mutually perpendicular \vec{E} and \vec{B} give a non-zero, steady Poynting vector along the travel direction, which is exactly what carries the wave's energy forward.

This easy difficulty physics question is from the chapter electromagnetic waves, covering the topic of nature of electromagnetic waves. It appeared in the 2025 exam.

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