The hidden link between electricity and magnetism

Have you ever wondered why the electric and magnetic fields are so closely connected? The unbelievable answer lies in special relativity. What looks like a magnetic field in a stationary frame of reference transforms into an electrostatic field in a moving frame of reference. I show you how to derive the strength of the magnetic field using only the equations of special relativity and electrostatics.

[jonathansevoro]

You've mentioned that every subscriber gets you excited, but seeing this video, and seeing it published this recently (meaning there is more to come), gets me excited. This video hits a special point I had been searching for for so long that explains a concept like this simply enough to be appreciated by someone without a PhD in the area but with enough education (say, undergraduate university) to understand and appreciate the formulae. Great work

[baptistebauer]

Wow!! I was mind blown by this!!
I'm a physics student currently in College, and I never even imagined there was a connection there between electromagnetics and special relativity. You're awesome man. Great quality video right there. I wish I could subscribe twice to make you twice as excited...

[tigersharma]

I still remember when i was in my 12th i asked the same question to my Physics Sir, in reply to that he shut me off saying that charge itself means electric field and moving charge itself means magnetic field, I think he meant that time that my question is useless as magnetic and electric field are very basic nature of charges, today i am feeling blessed after finding your channel accidently on YouTube, couldn't thank you more, although couldn't got along with the equation part but understood the theory of relativity involved here, A very big salute and huge respect to you for uploading this nice explanation, Huge Love and Respect to you from India, Big fan of yours from today onwards, Subscribing and liking your channel videos is just a tiny token of appreciation which can never reflect the respect to you...

[deviprasadmarudevagowda]

A simple but elegant way of explaining is most impressive to me and I hope more of these videos.
Deviprasad

[MauPP]

Damn... I saw this first in Veritasium's channel, but seeing the proof with the equations is more satisfying

[crazydavidsmith]

Simply extraordinary and deeply moving. Thank you for sharing this Art. I watched it 3 times to follow the math.

[davidt]

Absolutely fascinating. A number of things are now much clearer to me. Well done! I hope you will produce more material of this kind.

[Blue_Goat]

Great video. After watching this video, I finally understood this concept. Thanks!

[douglasstrother]

I first came across a similar derivation in "Electromagnetic Fields and Waves" by Paul Lorrain & Dale R. Corson as an Undergrad.

[bengineer_the]

I listen to this repeatedly, to remind myself. Brilliant

[pbostonRR]

Great video. It has gotten my 83 year old mind thinking of the explanation for the apparent reflection of data sent along a copper wire to an unterminated end. I’ve seen the results of the addition of the originating and reflected wave forms producing locations along the wire where there is a null signal. I’ve seen a computer sitting next to a printer not be able to see the printer until a terminating resistor is placed in the line, but other computers have no problem seeing the printer. I knew how to fix the problem but wasn’t able to account for the phenomena physically.
Anyway, thanks for sharing.

[zachreyhelmberger]

Thank you for the derivation!! That is pretty trippy!

[Greg_Chase]

It is known that a magnetic field around a permanent magnet is caused by the alignment of 'magnetic domains' which said in a clearer, more physically precise way means the alignment of electron spins. Electron spins normally are randomly aligned and no magnetic field occurs. When electron spins are aligned (in iron or cobalt or nickel permanent magnets), a magnetic field manifests.

It is known that the speed of electrons in a current-carrying wire is NOTHING like the analogy of 'flowing water in a pipe' - the "drift current" velocity of electrons is astonishingly slow. Look at the 'drift velocity' page on wikipedia.

Given these two facts, it is reasonable to say that electron spins are aligned in the wire and that is why a magnetic field is created around the wire, when a battery or power supply is attached to the wire. The application of a power source across the wire aligns electron spins.

The 'drift velocity' of electrons in a wire is about 23 microns per second (that's a distance of meters per second). That's for a wire carrying 1 amp of electric current with a wire diameter of 2mm.
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[complex_variation]

Hey, I love your video. I just stumbled on your channel. Just a recommendation, please, take out the background music I can't hear you very well with it.

[TumulKhan]

One question still rises. If the charge outside the wire stays still. It'll still see more negative charges in the wire than positive charges. So it should feel a force. But we know, it won't feel any force in static condition. Can you explain please?

[bharatyonzen]

Thank you for brushing on my rusted fundamentals on electromagnetism !

[ripwords]

I found this video due to the confusion i had on Veritasium’s video on the same topic. In the video he stated that when the outside charge is stationary there would be no force on the charge even when there’s a current. And in your video you stated that since the electrons Are moving the distance would be smaller than they’d be if they are stationary, then why won’t a force be exerted on the outside charge if the electrons density is higher when the outside charge is stationary

[lancearmada]

We didnt talk about special relativity in my undergrad program but i could kind of follow and this really illuminates the topic (and also validates my confusion i guess…)

[ultimateo]

Great video!
There is a mathematical beauty to the self affirming nature of the universe.

[marikleinen]

Thank you so much for your input. 😇😍❤️👍