Maxwell's Equations: Gauss' Law Explained (ft.
Can YOU understand Gauss Law, which is the Maxwell Equation that prescribes how Electric Fields must behave?
Hey everyone, I'm back with another video! This one was highly requested, as a follow-up to my first two Maxwell Equation videos. This, therefore, is the third video in the series discussing these equations of Electromagnetism. The particular equation discussed here is also known as Gauss' Law.
It essentially tells us that the divergence of an electric field must be equal to the charge density within the volume of divergence, divided by epsilon nought (permittivity of free space). We will discuss exactly what all of these words mean. We will talk about vector fields, of which an electric field is an example, and how we can take the divergence of a vector field. We will visualise how electric fields behave, and with the help of Higgsino Physics, we will see just how the divergence operator behaves on vector fields. Finally, we will see how to calculate the charge density in a particular region of space, and link the two sides of the Gauss' Law equation together.
Massive thanks to Higgsino Physics for contributing such a brilliant explanation of what divergence means! I highly recommend you head over to his channel and subscribe if you haven't already - you can find him here: @Higgsinophysics
Maxwell's Equations of Electromagnetism are a full classical description of the behaviour of electric and magnetic fields, as well as any emergent electromagnetic phenomena (such as EM waves - light). I will also briefly compare the Gauss' Law equation discussed in this video, to the equation I discussed in the first video in this series - Gauss' Law for Magnetism. While that equation told us that the divergence of any magnetic field must always be zero, resulting in the non-existence of magnetic monopoles, the equation for electric fields is slightly different. It tells us that the divergence of an electric field can be nonzero, thus allowing the existence of electric monopoles. These electric monopoles are more commonly known as charges (or charged particles)! You can watch all the Maxwell Equation videos I have made in this playlist here: • Maxwell's Equations EX...
A massive thank you to you for watching this video! If you enjoyed it, please do consider dropping a thumbs up and subscribing to my channel. If you want to check out my second channel, where I upload my own original music and music-related things, then head over to Parth G's Shenanigans here: / @_parthmusic
If you want to follow me on Instagram, it's @parthvlogs.
Thanks for watching and I'll see you really soon!
Пікірлер: 362
Parth just keeps that hair to show us the electrostatic effect.
@scurus11scurus
4 жыл бұрын
i clicked on this video because his hair was blown, after the video my mind is blown 🤯
@ohwow7862
3 жыл бұрын
Hello fellow emoji brotha
@joeboxter3635
3 жыл бұрын
Nice afro dude. Lol
@joyphysicsgallery
10 ай бұрын
😂
@petergreen5337
7 ай бұрын
❤HAHAHA
Just being referred to as "big guns" by Parth made the time spent worthwhile
@ParthGChannel
4 жыл бұрын
Thanks for contributing to this video man! It was a pleasure to work with you, here's to more great videos in the future :D
@sanjanagrover7436
3 жыл бұрын
@@ParthGChannel Loved ur content Sir🙏🙏
@naman4067
2 жыл бұрын
@@ParthGChannel are you Punjabi
@naman4067
2 жыл бұрын
@@ParthGChannel paaji sab changa si .
Parth rocking that 17th century physicist looks, just need a beard
@addy7464
3 жыл бұрын
He grew the beard because of your comment😳
I'm taking electromagnetism this semester and i often try to explain maxwell equations for first year students. Man, that's actually harder than i thought, you're doing a great job on your videos! Congrats and greetings from Brazil!
As a year 1 electrical engineering student, I’m so happy that I found your channel! Our professor just immediately dives into all the difficult stuff, without giving us any intuition. But you completely take care of that!
I follow your Maxwell equations and I'm waiting for the fourth equation .. thanks for videos ❤
1:11 when I ask my students to define a term
@ParthGChannel
4 жыл бұрын
:D hahahah y u gotta do me dirty like this
@EpicMathTime
4 жыл бұрын
@@ParthGChannel 😂
@loveh6094
2 жыл бұрын
Bruhhh i am the student
Thank you so much! Would love to see a video on the fourth equation
Wow! The coin finally drops about the fundamental difference between a magnetic field and an electric field. Thank-you sincerely.
It feels awesome to understand all these Maxwell equations, thank you and keep it up!
thank you so much for making this video!!!! I love these visual explanations!
Very intuitive, well done you two!
Left a question on your Q entanglement vid thought this would be a better way to get it asked. Love your stuff so far and congrats for 46 k
The right video at the right moment I need it. Perfect!
Great content dude! I have been following for awhile and I love your intuitive explanations of complex equations and how they work! You should starting doing explanations of equations from mechanics too if possible!
parth when will you upload the next Maxwell equation?
Parth looks like a pop singer from the 90's😂
@franzclammer1931
4 жыл бұрын
Nah, Richard Ayoade
Please make videos on curl of electric and magnetic field as well, those remaining Maxwell's equations 🙂 Loved your videos❤️
Hii, thank you so much for explaining complex stuff like this so intuitively. You´re really helping loads of us but I was wondering if there´s a video about the 4th equation coming anytime soon. Love your work
wonderful explanation... all of the Maxwell equations videos..thank you so much
Please bring the fourth video of Maxwell soon. Love your work
Beautiful lesson and demonstration.Thank ❤you very much
Thanks for the refresher, I studied Maxwell from the OU course electromagnetism 30 years ago while I was a technician, and it was one of the best studies in my career life. I was stunned by this beautiful equation and achievement by Maxwell, a union of electricity and magnetism. It washes away complex and difficult understanding via well-designed video. Keep it up!
You are simply awesome. Please keep doing this, explaining equation and theorems in a very understandable manner, esp we want more of Maxwell's equations. Thanks a lot bro. 🤗
Awesome video.. concepts cleared!
Thank God! I have found you! I can understand your explanation so much! Please keep doing this kind of video. It really helps. You might be my favorite Physics Vlogger! Where is your video explaining the other 3 Maxwell's equations??
Very well explained!!
really thank you .. and my compliments for the really good, easy and clear explanation.
I love this! I subscribed and I might start binge-watching your content. Thank you for this!! Also Higgsino Physics!!! You both are awesome!
Awesome videos! Really enjoyed the other two on Maxwell eq's. Could you please make a video on quantum spin? Especially what the heck it is and how it creates a magnetic dipole (I hope I got that right). I am a med student with a little background in physics (on which I am passionate) who is currently scratching his head in an attempt to understand MRI. Thanks again for your quality content!
Thanks for making the video Parth. It helps to see an overview haven't had it yet.
This was so good . I’m super emotional rn. Thank you I’ve been stuck for so long
This vídeo is awesome, Thank you! -Brazil here.
There is something magical in your lectures ....i am a big fan of you . May you stay blessed and healthy always !
I was hoping he would at some point in the lecture mention his new anti-gravity hair gel. But I guess Gauss Law will have to do.
very clear explanations!!!
Great illustration of the Divergence ! Thank you dear Parth !
You are very precious Your videos learn a much in no time. Thats a very rare quality that only the bests are capable of. You belong to this class of rare people. Thank you VERY much
Man I love your accent, very soothing
I' ve been waiting for this video ever since the last one got out!!!😋😋😋😋
Brilliant video sir It was great I enjoyed a lot and understood everything
You explained it better than my professor, keep making videos like this are really awesome :)
@ParthGChannel
4 жыл бұрын
That's a big compliment, thanks for watching!
@Praneshpm23
2 жыл бұрын
@@ParthGChannel hey ? will you make a video for the fourth equation?
@janahorvat8955
2 жыл бұрын
@@Praneshpm23 i'm in the need of it too
Fantastic playlist - when will we see the 4th equation?
Beautiful Parth. Very good explanation of Gauss Law and divergence concept.
Amazing video! Thank you very much!
Amazingly explained!
bro let's just appreciate the fact he took the time out of his day to draw that many little arrows for us.
I understand your videos easily you have gave me a lot of information love you bro❤️❤️
Great content!!
Best explanation ever. keep going
I enjoyed the lecture! Also great explanation by your guest! 😊
Really cool explanation.
Hey. Finally we got the video. Thanks parth G.
This is perfect. As an electrician who was bad in school and wants to understand Gauss' law this finaly made sense to me.
Helping engineering students out tons. Also, you have really great hair wow!
Outstanding 👍
Also parth,I love your explanations .Looking forward to the fourth equation
THANK YOU, SIR!
Wow , very well explained
Good video. Thanks.
GREAT JOB!
Great video ! Thanks
Dis is so amazinggg
Your videos are so useful for me... U made understanding physics easy for me.. It's my request to you to make a video on the Maxwell's 4th equation... Hope u will soon make a video about it..
amazing video . please the last one of maxwell equation
that was cool, thanks 👍
kudos to you Parth with your vivid explanation of quantum mechanics. I have watched a few videos of you and they are awesome. Please i would like to know whether you do tutorial on MATLAB programming.
Great video! Accent? No comments! This is how I explain to kids as well when I volunteer/tutor.
good explanation thanks
Sir, Your videos are really awesome. Could you please upload explanation of the Maxwell equation in both differential and integral form.
you're a legend thank you!
You've gone Moss bro' ;) Nice work as usual thanks for sharing the knowledge !
Thank you very much ❤
I have understood previous Maxwell equation s said by u easily
finally 3rd part came.
Please make an intuitive video on the concept of Tensors
Hi Parth very impressed by these videos would you mind making another videos explaining the science behind Quantum computers... Thankyou
Well thanks for explaining all these cool equations you explained it well and i enjoyed them. When video for 4th equation is coming?
@ronakshah7229
3 жыл бұрын
Hi Parth thanks a lot for explaining these concepts easily. Can you tell us when 4th Equation video will be available?
Hi , I have my exam of electromagtics in september and this videos are great to understand It better☺️,thanks
Great video! I would like you to consider a video about Poisson-Boltzmann equation.
Need the fourth one now!
great video keep it up
Love the vid . Please can you do vid about mathematical methods for physics .
Hi Parth! Thank you very much for the overall presentation of the information. I found out this long ago that the poet only asks to get his head into the heavens. It is the logician who seeks to get the heavens into his head. And it is his head that splits, but so many things are clear with your videos. Now I will start studying mathematical analysis, that is, integral and differential calculus. What would you suggest for a beginner like me who wants to become familiar with modern theories of physics which is a dream of mine from a very young age. I am an enthusiast by the way. From the easiest I mean to the hardest!
Nice explanation
Thank you😊
just wanted you to know that the reflections in your glasses look like pink eye shadow. its cute AF. dude your videos are so brilliantly explained and put together. thank you!!!
And moreover very relaxing videos . Each word you speak or formula you write is sensefull and in no time we get a deep inside in what the must difficult things represent without almost NO effort. Well CHAPEAU sir. You achieved in NO TIME things that others will NEVER achieve. You are VERY PRECIOUS for this planet and human intelligence also in the deepest comprehension of the underlying MATHS that is OMNIPRESENT beneath fysics and ESSENTIAL to realy understand DEEPLY fysics. Fysics that is governing our world….
Please make a series of video about grad, divergence,curl with examples
@ParthGChannel
4 жыл бұрын
For sure, that would be wading into maths territory but I think that would be fun :)
@saptarshimondal7324
4 жыл бұрын
@@ParthGChannel hum
Great 👍
Thankyou so much
The way you teach seems to be the top faculty in the world
Cant wait to hear about wth a tensor is.
This series of videos is a well-thought-out explanation of this topic. I always found the concept of an arbitrary enclosed “region of space” and a point charge(s) unsatisfying. 😀 I think a more intuitive example would be to examine Maxwell’s equation from a practical problem. The “region of space” should be a wire or dipole antenna. We should explain how an incoming Electromagnetic field at some frequency, say a typical FM station, impinging on the wire creates an alternating electrical current at the antenna terminals at the same frequency. The incoming E field magnitude and the geometry of how the E field interacts with the antenna determine the signal voltage at the matched antenna terminals.
Please make a video on special and general theory of relatvity
yo bro can you put the last eqn fast.....can't wait to learn it....your explanation is very good👍🏻👍🏻
next video: magnetic monopoles and Dirac rod BTW: great music
The good way of intuitive thinking of divergence is that this operator tells us how laminar the field is inside of an area or whether there are some 'disturbances in the force' in the forms of sources or sinks nearby.
Thank you.
Incredible. You gave me a better description about "divergence" operator. But in your Maxwell equation series you haven't talk about "curl". Can you please do a vedio describing about the curl.