File:Electromagnetic Wave Equation in Free Space.webm

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Original file(WebM audio/video file, VP9/Opus, length 8 min 34 s, 3,840 × 2,160 pixels, 442 kbps overall, file size: 27.06 MB)

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English: Derivation of the wave equation for em waves and their properties.

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In this physics video, we first derive the two wave equations for an electromagnetic wave (that is for the E and B field components) in charge-free and current-free space.

After that, we will look at where the speed of light is hidden in the electromagnetic wave equation. Afterwards, we will write out the wave equation to understand its structure better.

At the end, we use the first and second Maxwell equations, and a planes wave to derive that the B and E field vectors must be perpendicular to the direction of propagation, i.e. perpendicular to the wave vector. And in the end we use Maxwell's third and fourth equations to derive that the E and B field vectors of an electromagnetic plane wave are perpendicular to each other at any time and at any location.

Video content:


00:00 Maxwell's equations in vacuum 00:27 Derivation of the EM wave equation 02:13 Velocity of an electromagnetic wave 03:17 Structure of the electromagnetic wave equation 05:00 E- and B-field of plane waves are perpendicular to k-vector 07:24 E- and B-field of plane waves are perpendicular 08:15 Summary

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Source YouTube: Electromagnetic Wave Equation in Free Space – View/save archived versions on archive.org and archive.today
Author Universaldenker ⚛ Physics

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Date/TimeThumbnailDimensionsUserComment
current18:34, 14 June 20238 min 34 s, 3,840 × 2,160 (27.06 MB)HareGovorittKrishna (talk | contribs)Imported media from https://www.youtube.com/watch?v=GMmhSext9Q8

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Format Bitrate Download Status Encode time
VP9 2160P 395 kbps Completed 18:53, 14 June 2023 18 min 55 s
Streaming 2160p (VP9) 299 kbps Completed 11:03, 13 January 2024 2.0 s
VP9 1440P 260 kbps Completed 18:49, 14 June 2023 14 min 29 s
Streaming 1440p (VP9) 164 kbps Completed 14:41, 14 January 2024 2.0 s
VP9 1080P 185 kbps Completed 18:44, 14 June 2023 9 min 40 s
Streaming 1080p (VP9) 89 kbps Completed 19:03, 6 February 2024 1.0 s
VP9 720P 154 kbps Completed 18:41, 14 June 2023 7 min 14 s
Streaming 720p (VP9) 57 kbps Completed 16:55, 17 March 2024 1.0 s
VP9 480P 134 kbps Completed 18:44, 14 June 2023 6 min 14 s
Streaming 480p (VP9) 38 kbps Completed 09:33, 6 February 2024 1.0 s
VP9 360P 123 kbps Completed 18:42, 14 June 2023 4 min 25 s
Streaming 360p (VP9) 27 kbps Completed 15:36, 7 February 2024 1.0 s
VP9 240P 115 kbps Completed 18:38, 14 June 2023 4 min 12 s
Streaming 240p (VP9) 19 kbps Completed 17:51, 18 December 2023 1.0 s
WebM 360P 159 kbps Completed 18:42, 14 June 2023 4 min 16 s
Streaming 144p (MJPEG) 457 kbps Completed 21:48, 9 November 2023 1 min 33 s
Stereo (Opus) 95 kbps Completed 11:01, 22 November 2023 9.0 s
Stereo (MP3) 128 kbps Completed 08:43, 2 November 2023 16 s

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