Direction Of Energy Flow
A plane electromagnetic wave has its electric field oscillating along the +y axis while, at the same instant, its magnetic field oscillates along the +z axis. Along which direction does this wave transport its energy?
Select the correct option:
Solution
+x direction
Energy in an electromagnetic wave travels along the direction of the Poynting vector \vec{S} = \frac{1}{\mu_0}\vec{E} \times \vec{B}, which also fixes the direction of propagation. The right-hand cross product of the field directions therefore determines where the wave moves. Taking \hat{E} along +y and \hat{B} along +z, the cross product \hat{y} \times \hat{z} = \hat{x}, so the wave propagates along the +x direction. The -x option reverses the right-hand rule incorrectly. The +z option mistakes the magnetic field direction itself for the propagation direction, which is wrong because energy flows perpendicular to both fields. The -y option similarly confuses the electric field axis with the travel direction. This vector relationship is the standard way the NCERT and JEE syllabus connect field orientation to propagation, and it holds at every instant because the two fields oscillate in phase, so their cross product never reverses sign during a cycle. Physically, this means the wave always pushes its energy forward, never momentarily backward, even as the field magnitudes rise and fall. A quick check using the cyclic order x \to y \to z confirms that y \times z indeed gives +x, so energy genuinely streams in the +x direction, consistent with the mutually perpendicular geometry of the wave.
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
About This Question
- Subject
- physics
- Chapter
- electromagnetic waves
- Topic
- direction of energy flow
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
+x direction
Energy in an electromagnetic wave travels along the direction of the Poynting vector \vec{S} = \frac{1}{\mu_0}\vec{E} \times \vec{B}, which also fixes the direction of propagation. The right-hand cross product of the field directions therefore determines where the wave moves. Taking \hat{E} along +y and \hat{B} along +z, the cross product \hat{y} \times \hat{z} = \hat{x}, so the wave propagates along the +x direction. The -x option reverses the right-hand rule incorrectly. The +z option mistakes the magnetic field direction itself for the propagation direction, which is wrong because energy flows perpendicular to both fields. The -y option similarly confuses the electric field axis with the travel direction. This vector relationship is the standard way the NCERT and JEE syllabus connect field orientation to propagation, and it holds at every instant because the two fields oscillate in phase, so their cross product never reverses sign during a cycle. Physically, this means the wave always pushes its energy forward, never momentarily backward, even as the field magnitudes rise and fall. A quick check using the cyclic order x \to y \to z confirms that y \times z indeed gives +x, so energy genuinely streams in the +x direction, consistent with the mutually perpendicular geometry of the wave.
This medium difficulty physics question is from the chapter electromagnetic waves, covering the topic of direction of energy flow. It appeared in the 2025 exam.
Looking for more practice? Explore all physics questions or browse electromagnetic waves questions on RankGuru.