Flux and magnetic flux

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  • čas přidán 5. 09. 2024
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    Introduction and intuition for flux and magnetic flux.

Komentáře • 207

  • @alexisdentino4808
    @alexisdentino4808 Před 9 lety +240

    you have a true gift of teaching

  • @castorpollux8688
    @castorpollux8688 Před 9 lety +360

    we need more electromagnetism videos

  • @DaisyLech
    @DaisyLech Před 6 lety +31

    If we had more professors like this, more people would be in engineering and physics!

  • @espen990
    @espen990 Před 5 lety +119

    I had to comment that you wrote an "x" at 0:15 and it's the prettiest "x" I've ever seen. Also the vid is awesome so...

    • @ahmedhassan9398
      @ahmedhassan9398 Před 4 lety

      Hahaha..

    • @Godl_Damon
      @Godl_Damon Před 3 lety +8

      It's been two years you have commented, I hope after seeing this you will feel nostalgia 😁. You will remember your those days and smile (hopefully)

    • @unimaginableboi7164
      @unimaginableboi7164 Před 3 lety +3

      @@Godl_Damon thats sweet

    • @Godl_Damon
      @Godl_Damon Před 3 lety +4

      @@unimaginableboi7164 😁

    • @Kitty786kat
      @Kitty786kat Před 7 měsíci +3

      ​@@Godl_Damonyou are soo sweet ❤ and it's also been two years since you commented 😂 I hope you'll feel nostalgia whenever you see this

  • @spazzoidd
    @spazzoidd Před 3 lety +51

    Khan Academy is wonderful and it's probably helped me wrap my head around more concepts than I would care to admit. Wonderful library of knowledge

  • @81546mot
    @81546mot Před 9 lety +31

    Sal is the best instructor ever. I have watched all his math and physics videos and NOBODY can teach like he can...and he is an artist, too, so his diagrams are great, too.

  • @ArcanePhalanx
    @ArcanePhalanx Před 3 lety +2

    Says he will give an intuition for magnetic flux; gives an intuition for magnetic flux. Solid video.

  • @Peugot905
    @Peugot905 Před 9 lety +54

    We need more physics videos. Good to see that there's gonna be more coming out.

  • @allenmano
    @allenmano Před 5 měsíci +1

    CZcams has best tutor and best distraction too lol 😂❤❤

  • @annsmahboob3495
    @annsmahboob3495 Před 3 lety +1

    We all know this is an extraordinary man and channel. But this video just blew me away, it sounds simple now but it looked crazy before, that is teaching perfection.

  • @scottbrown8142
    @scottbrown8142 Před 3 lety +2

    I decided to start powder coating as a hobby in my spare time. Faraday’s law came up, which lead me here. I enjoy you way of explaining, thank you.

  • @josefinej3921
    @josefinej3921 Před 8 lety +3

    Please do a video on flux density, and also the difference between B and H field? :p Anyway, great video once again. My teachers this year have been absolutely awful (the books weren't any better as they were written by them), and I cannot express how grateful I am for having been born in a time with the Internet, where free knowledge - WELL explained knowledge - is available to anyone. I have always been something of an autodidact or self-directed learner, and I have always done well in school. However, these last past years I have lost much faith in the education system. However, I still like to learn - just not in school anymore, I honestly dread it - and because of people like you (and others, like DrPhysicsA or Ben Eater and many, many more), this has not only become possible, it almost has become an addiction, a necessity to me. When I watch your videos I feel like understanding almost everything immediately, and in a way where I suddenly re-remember the importance and greatness in these discoveries of our physical world, and I finally feel the true spirit of learning again. Your website is a sanctuary, a place where knowledge and learning aren't related to your gender, your age, your intelligence, your interests in pleasing teachers or whatever. It's just.... pure learning, raw naked. Without biases, without anyone judging you for anything, without anything else. And that's how it should be.
    Everything I have done >really< well in school has started with you. I will never have more respect for people like I have for people like you. I have no doubt that I will continue learning after my graduation - but this time, for real. Without wasting time on doing stupid stuff to please the teachers and the 'system'.
    So once again: truly, thank you.

  • @saidalzamareh9119
    @saidalzamareh9119 Před 6 lety +2

    I normally never comment on any CZcams video but this one is just amazing. I remember watching your video about spring constant when I was a freshman and now I'm 2 months away from graduating high school, and I would've never made it without you. Thank you sal, thank you dearly.

  • @81546mot
    @81546mot Před 9 lety +34

    Sal, please do a series on Maxwell's equations with all the calculus.....

  • @etherealbae2160
    @etherealbae2160 Před 6 lety +9

    Thank you so much!! You can teach something more clearly in 10 minutes than my professor can in two hours....

  • @jiohnne
    @jiohnne Před 9 lety +88

    I want to know how to make a Flux Capacitor

    • @prod.805starface
      @prod.805starface Před 7 lety +4

      Jio Salcedo if only you knew; how easy it really Is to make .... :/. You need God in the equation to ever even be able to fathom it.

    • @TwoWrights
      @TwoWrights Před 7 lety +4

      Working on it. I'll have a video up in a couple of weeks explaining the theory behind a flux capacitor. It's a follow up video to this one I made... czcams.com/video/GWiKGiK_iQI/video.html
      If you're a fan of BTTF, and you're still reading responses to a comment you made a year ago, I think you'll like it.

    • @maddieek6865
      @maddieek6865 Před 4 lety +1

      @@TwoWrights 2 yrs now

    • @TwoWrights
      @TwoWrights Před 4 lety +1

      Maddiee K I know. I’m awful. I am still working on it. The idea has grown a little bit.

    • @maddieek6865
      @maddieek6865 Před 4 lety +1

      @@TwoWrights haha i meant more that I was totally ready to view it even 2 yrs after your comment

  • @VoidHalo
    @VoidHalo Před 7 lety +3

    So much better than the 5 second glossed over definition on Bozeman science which was something along the lines of "it's how much a conductive material reacts to a magnetic field. Like how you react to sunlight." And that was literally it. It was in the video on induction. I got completely lost after that and had to seek out other resources.

  • @ivanlai4611
    @ivanlai4611 Před 4 lety +2

    Excellent explanation! I had to learn flux to help my daughter and this video was extremely helpful!

    • @mackenzie6744
      @mackenzie6744 Před 3 lety

      bless your soul! I’m glad your daughter has you to help her!

  • @jonl716
    @jonl716 Před 6 lety +1

    Doubling the size of the net will not double the flux. It is flow per unit area.
    The only way changing the size of the net will change anything is if the flow is uneven and the expanded net captures flow moving at a different rate.
    It's like saying I ran 1 mile in an hour, than I ran two miles in two hours, so I'm running faster now (not really)

  • @animeshmondal1208
    @animeshmondal1208 Před 8 lety +4

    Flux is defined as flow of something per unit area per unit time, so when stretching the "net" to increase area, flux can be reduced. So it's about how we define flux. Great video. Pls make some video explaining types of magnetic material. Thanks.

    • @jashwikareddy6622
      @jashwikareddy6622 Před 7 lety

      animesh mondal yes agreeable ,absolutely right

    • @nghia3472
      @nghia3472 Před 7 lety +1

      I think you mean when stretching the "net" to increase area, flux is increased?

    • @tkmun1
      @tkmun1 Před 6 lety

      Assuming the flow per unit time is constant and the amount of flow of the material is the same before stretching the "net". Then yes, the flux is reduced.

    • @swagotosurjodutta7341
      @swagotosurjodutta7341 Před 5 lety

      animesh mondal:
      Flux=“flow of something”*Area / time.
      How can flux decrease with increase in area?

    • @swagotosurjodutta7341
      @swagotosurjodutta7341 Před 5 lety

      Nghia: I’m as confused as you lol.

  • @jamarimcfarlane4844
    @jamarimcfarlane4844 Před 4 lety +3

    Those drawings were beautiful

  • @fay7725
    @fay7725 Před 5 lety +4

    Your videos explain everything I need and want to know. Really, I'm beginning to like many subjects because of your videos.

  • @LeoLee-7
    @LeoLee-7 Před 3 lety +2

    Thank you this is crystal clear!

  • @zakirhussain-js9ku
    @zakirhussain-js9ku Před rokem +1

    I think magnetic flux & magnetic field are 2 different entities. Magnetic flux is a scalar qty. measured by its density while magnetic field is a vector qty. shown by line with arrow. Both, flux & field follow inverse sq. law. A magnetic pole has flux around it. Magnetic field which is force field appears only when flux of one pole interacts with flux of other pole. Since there is no monopole magnetic flux & magnetic field co-exist around a magnet. Change in flux density & motion of flux produce all forces & motions.

  • @shuvrochamp8137
    @shuvrochamp8137 Před 7 lety +2

    what an amazing video it was....though i knew about the magnetic flux before but it widens my previous knowledge so very much.....thanks sal khan ....proud to be a bangladeshi

  • @TKO593
    @TKO593 Před 9 lety +2

    Might as well add electrical induction into this lesson. The amount of magnetic flux that is in relative motion next to a conductor induces voltage onto the conductor. This is how we generate electricity.

    • @zoranhacker
      @zoranhacker Před 8 lety

      +TKO593 isn't this what we're talking about here, or what is the current we are talking about here?

  • @Hitgee2
    @Hitgee2 Před 4 lety +1

    Wow 🤩 u are amazing at teaching sir I got now how that formula came out

  • @danplays1403
    @danplays1403 Před 7 lety +2

    Thanks! This finally helps me to understand what flux is!

  • @dalenassar9152
    @dalenassar9152 Před 2 lety +1

    Is there a definition for a SINGLE line of flux?
    For example, this would allow us to state exactly how many LINES of flux passes through a square meter in a uniform magnetic flux field of, say, one "Tesla" perpendicular to that flux field.
    THANKS FOR, YET ANOTHER, GREAT VIDEO!!

  • @tomascancelliere4348
    @tomascancelliere4348 Před 2 lety

    amazing presentation. a 6 year old could understand flux with your video. well done

  • @kshitijghormade584
    @kshitijghormade584 Před 5 lety +1

    Sir you got a thumbs up from me for your every video...keep up the good work...

  • @oddy1989
    @oddy1989 Před rokem +7

    i’m so stupid, don’t get it

  • @rusticagenerica
    @rusticagenerica Před 3 lety

    Nothing is "Physical". Everything is "information". Your magnetic field is not any less "physical" or "solid" than your "water", which is also pure energy flowing.

  • @breeze1314
    @breeze1314 Před rokem +3

    Any JEE aspirant? Mark your presence 👍🏼

    • @ericj199
      @ericj199 Před měsícem

      Why do people aspire for jee?

    • @breeze1314
      @breeze1314 Před měsícem

      @@ericj199 to get in a good college... Actually in India there are a lot of people getting a btech degree do getting in some good college is the only thing that can help.

  • @elipeterman8425
    @elipeterman8425 Před 5 lety +2

    You've been helping with through math and science since I was a wee little guy and this is the last video in the electrical physics playlist so there arn't any more videos here for me. Thanks so much man you've saved my life (test grades) its been good learning from ya (:

  • @Romansoldier8888
    @Romansoldier8888 Před 6 lety +1

    awesome explaination

  • @user-zy3tw7zg9j
    @user-zy3tw7zg9j Před 4 lety

    شكرا بجد شكرا انا هدعيلك😍😄

  • @ThefamousMrcroissant
    @ThefamousMrcroissant Před 4 lety

    Another excellent introduction

  • @gregsimcock
    @gregsimcock Před 2 lety +1

    The rain has abated and pollutants that were in the air have been grounded. Things around me can be seen more clearly now, but as electrons in obscene amounts whiz by me, through copper wires, as the power meter counts them over time as I listened to the sound of the electric fan in the heater blowing warmed air towards my person to reduce the chilly sensation of the cooler oxygen atoms take up the heat given up by my body, as I let the video on the topic of magnetic flux play to its end, I was left wondering - What is magnetic flux? Magnetic flux can be likened to water flow in a river, fed by tributaries upstream. Flux can be imagined to be flowing as tributaries carrying water to a stream. The deeper the stream, the greater the pressure at depth. Magnetic flux condenses with the greater number of flux lines of force, making a greater strength of magnetic attraction and repulsion. Through the air, flux lines tend to separate, but when channelled through a piece of iron or a metal bar the flux lines consolidate in the given metal, leaving no loose ends in the flux field to go astray, but they can be made to follow the desired path. I am the original concept design creator of what I believe has later become used in the design of the Tesla EV motor, so I considered the explanation given of magnetic flux to be a lot more confusing for people new to the subject than it needed to be.

  • @Richardjohnkosciejew
    @Richardjohnkosciejew Před 7 lety +4

    A limited area of knowledge or Endeavour to which pursuits, activities and interests are a central representation held to a concept of physical theory. In this way, a field is defined by the distribution of a physical quantity, such as temperature, mass density, or potential energy y, at different points in space. In the particularly important example of force fields, such as gravitational, electrical, and magnetic fields, the field value at a point is the force which a test particle would experience if it were located at that point. The philosophical problem is whether a force field is to be thought of as purely potential, so the presence of a field merely describes the propensity of masses to move relative to each other, or whether it should be thought of in terms of the physically real modifications of a medium, whose properties result in such powers that are, liken to force fields, having potentially pure characterized by their means of dispositional statements or conditionals, or are they categorical or actual? The former option seems to require within ungrounded dispositions, or regions of space that differ only in what happens if an object is placed there. The law-like shape of these dispositions, apparent for example in the curved lines of force of the magnetic field, may then seem quite inexplicable. To atomists, such as Newton it would represent a return to Aristotelian entelechies, or quasi-psychological affinities between things, which are responsible for their motions. The latter option requires understanding of how forces of attraction and repulsion can be grounded in the properties of the medium.
    The basic idea of a field is arguably present in Leibniz, who was certainly hostile to Newtonian atomism. Despite the fact that his equally hostility to action at a distance muddies the water. It is usually credited to the Jesuit mathematician and scientist Joseph Boscovich (1711-87) and Immanuel Kant (1724-1804), both of whom was influenced by the scientist, Michael Faraday (1791-1867), with whose work the physical notion became established. In his paper on "The Physical Character of the Lines of Magnetic Force" (1852). Faraday was to suggest several criteria for assessing the physical reality of lines of force, such as whether they are affected by an intervening material medium, whether the motion depends on the nature of what is placed at the receiving end. As far as electromagnetic fields go, Faraday himself inclined to the view that the mathematical similarity between heat flow, currents, and electromagnetic lines of force was evidence for the physical reality of the intervening medium.

  • @ikhairi83
    @ikhairi83 Před 5 lety +1

    oh man, where were you in 2005? i've been looking the best analogy for this flux definition for years. thank you my man

  • @brianfinnegan9700
    @brianfinnegan9700 Před 6 lety

    Really helpful thank u. would love more on electromagnetism

  • @gilbertvirgo5672
    @gilbertvirgo5672 Před 6 lety +2

    Amazing, I finally understand. So helpful with the air analogy

  • @stijn020
    @stijn020 Před 10 měsíci

    hi, so is it correct to say that the magnetic flux means the relation of the magnetic strength trough an specific area ?

  • @yashoza6079
    @yashoza6079 Před 3 lety

    Dude you explain really great!!!!!

  • @ziad7643
    @ziad7643 Před 4 lety

    what is the name of the application !? and thanks for your great method of teaching

  • @rahulrahul-nq8ol
    @rahulrahul-nq8ol Před 3 lety

    Thank you sir

  • @steffliot3788
    @steffliot3788 Před 4 lety

    Thanks a lot Mr. Khan.

  • @UsmanKhan-sf4wq
    @UsmanKhan-sf4wq Před 3 lety

    Thanks Sir

  • @zubair1411
    @zubair1411 Před 5 lety +3

    Salute from bottom of my 💜❤

  • @khalidkamal2902
    @khalidkamal2902 Před 3 lety

    Kindly, make a video on CT PT (CURRENT TRANSFORMER, POTENTIAL TRANSFORMER). could you?

  • @ceoofpoonis3668
    @ceoofpoonis3668 Před 3 lety

    Thanks 👍

  • @naomi-ym7fs
    @naomi-ym7fs Před 2 lety

    that was so helpful,thanks a lot

  • @daddsfasdasd
    @daddsfasdasd Před 9 lety +18

    this looks very fun to learn

  • @PackoXTI
    @PackoXTI Před 9 lety +3

    Khan! It is great, thanks, I want more physics video :))

  • @mahendrarajgude4070
    @mahendrarajgude4070 Před 2 lety

    Useful ...

  • @QuentinQuark
    @QuentinQuark Před 7 lety

    I'm not clear why an increase in speed means a higher flux? 2:50 you say higher speed means "more things going through that surface" but is that true, where can I learn the explanation for that? If the density is the same, and you plunk a net down, the "things" that go through, go through faster, but do more "things" go through?

  • @jmcc198
    @jmcc198 Před 6 lety +1

    Great video but those swallowing sounds near the end were almost too much for me to keep my attention

  • @arnavnayak576
    @arnavnayak576 Před 3 lety

    thank you

  • @larrybrander9116
    @larrybrander9116 Před 2 lety

    great video

  • @wildeofthewest
    @wildeofthewest Před 4 lety

    So is magnetic flux density the density of a part of an electromagnetic field passing through a normal surface?

  • @makhanlalkar3111
    @makhanlalkar3111 Před 6 lety +1

    Thank you!!

  • @arachan5280
    @arachan5280 Před 6 lety

    very helpful , thank you

  • @AmineChM21
    @AmineChM21 Před 9 lety +1

    Love you Khan

  • @ramblingsofateenager3323

    thank u so much

  • @aliguraiffi9789
    @aliguraiffi9789 Před 5 lety +1

    Seriously. I love you

  • @SquatSimp
    @SquatSimp Před 3 lety

    Perfect, thank you sir

  • @muhammadghazy8
    @muhammadghazy8 Před 4 lety +1

    Hey and what if you increase the area but to towards a region where magnetic field lines didn't exist? Logically i would say the flux won't change, but wouldn't it increase by the equation ABcos theta? I appreciate a quick response

    • @mariosspyrou1054
      @mariosspyrou1054 Před 2 lety

      if theoretically you were to put it in a region where there is no magnetic field the that would mean B=0 so no magnetic flux for you hehehhehe

  • @dnacious238
    @dnacious238 Před 5 lety

    Thanks for explaininf flux. I finally got a solid definition for it :D

  • @malevolentthedragon
    @malevolentthedragon Před 3 lety +1

    Colorblind people watching Khan Academy:

  • @prod.805starface
    @prod.805starface Před 7 lety

    Thank you brother

  • @andreapogliani7348
    @andreapogliani7348 Před 5 lety +1

    Flux is not defined as how much of something pass through a surface PER UNIT TIME. Indeed, when you talk about magnetic flux, there is nothing changing over time (if we suppose a constant magnetic field, like that of a still magnet) but one can still define a flux. The point is, your air example is confusing, because you seem to say that the flux is how much molecules of air pass through the surface per unit time, while this is only a consequence of the fact that here you are considering the flux of the velocity vector field. So the fact that in that example you have the "in a certain amount of time" concept is only due to the fact that you are considering a particular vector field, the velocity one. Once you pass to magnetic field there is no analogous "in a certain amount of time", because there is nothing flowing here, and this fact creates confusion in my opinion. So, I think your video is nice, but maybe can produce a misconception about the flux in general, as you can see from some comments.

  • @240mains
    @240mains Před 5 lety

    Air "Gradient" , like in image editing gray scale from full white( max density , to gray , lightly dense ) .
    Read book ISBN : 0-07-027406-1 "Engineering Electromagnetics" 1989 McGraw-Hill .
    page 45 , 47 , 52 . Streamlines or Flux Lines , or Direction Lines .
    "Flux" is a very old-time word , circa 1350 to 1400
    by now , Flux is in the public domain . All done in Europe .
    To get a more complete definition of Flux , look it up in a dictionary ( i did ) .
    Flux isn't just used with electrical phenomena .
    The above book does discuss how Flux is used to describe the visual interpretation of an equation of a family of curves .
    When working with magnetism , the Flux lines would be called: Magnetic Flux .
    If the equations were modeling Electric Fields , the Flux lines ( Streamlines ) would be of Electric Flux .
    "Flux" ,...Flow lines , visual depiction of an equation .
    Electromagnetic Field Theory is difficult .
    1600 to 1899 about 300 years of European R&D . It was all done in Europe . Mostly France , England , Germany ,
    not necessarily in that order .

  • @ElectricalEngineeringApp

    Good

  • @EdwinRamirez-fk9fn
    @EdwinRamirez-fk9fn Před 7 lety

    the best video. thank you

  • @ignatiusthomas9005
    @ignatiusthomas9005 Před 6 lety

    Thank you for visualising flux for me

  • @venky2144
    @venky2144 Před 4 lety

    superb

  • @sneharay867
    @sneharay867 Před 5 lety

    A lot helpful

  • @niyamichael9581
    @niyamichael9581 Před 4 lety

    God bless you

  • @christiant.g.994
    @christiant.g.994 Před 4 lety

    Exactly the video I needed. Thanks! : D

  • @zeinabalemeh4780
    @zeinabalemeh4780 Před 3 lety

    Thank u this is amazing 😃

  • @yousomark
    @yousomark Před 4 lety

    This really helps! Thank you!

  • @mj-ro2eu
    @mj-ro2eu Před 5 lety +4

    شكلي بس اني طالبه سادس هنا😐
    #عراقيهة
    thx 4 this video😍😍💜❤

  • @jeans.1328
    @jeans.1328 Před 6 lety

    Pleaser anybody help me. Is the magnetic flux, the density of the magnetic vetors? or the size of the vectors? Or a product of both? Sal Khan, mentioned that the flux is how many are perpendicular to the surface. but if you tilt the surface, then no vectors are going to be perpendicular to the surface.

  • @NiiGHTBURN
    @NiiGHTBURN Před 9 lety +3

    Thank you so much mr. khan! (mr. sal)

  • @wabbajackwabbajack6932
    @wabbajackwabbajack6932 Před 8 lety +12

    First and foremost I absolutely love this guy...that being said it drives me crazy when he repeats himself all the time xD. Id probably do worse things on camera but still...something to work on. Something to work on...

    • @stewartzayat7526
      @stewartzayat7526 Před 5 lety +1

      I think it's better than to be just quiet while you write something

    • @iloveyou3367
      @iloveyou3367 Před 4 lety

      I actually like it when he repeats himself I feel like it helps me retain the information.

    • @larrybrander9116
      @larrybrander9116 Před 2 lety

      I think its good when teachers repeat themselves so I don't miss something while I'm deep in thought and still wrapping my head around what was said earlier.

  • @ericj199
    @ericj199 Před měsícem

    6:10 Magnetic Flux

  • @amire8891
    @amire8891 Před 2 lety

    thank you man thank you so much

  • @bibinthomasa3306
    @bibinthomasa3306 Před 4 lety

    Why energy is no needed.to maintain a magnetic flux in a magnetic circuit

  • @datpham31415
    @datpham31415 Před 6 lety

    Great thanks

  • @shanikaanderson3935
    @shanikaanderson3935 Před 6 lety +2

    So flux is kinda like frequency

    • @robertlee5456
      @robertlee5456 Před 4 lety

      No, flux is the rate of flow of something, through a surface area or through a volume of space.

  • @DaelinZeppiTheComputerGamer

    Very useful!

  • @GautomChutia-sc8qq
    @GautomChutia-sc8qq Před 7 lety

    Helpful

  • @momzitoari9354
    @momzitoari9354 Před 7 lety

    Thanks .

  • @aniruddhvasishta8334
    @aniruddhvasishta8334 Před 4 lety

    Skip to 6:00 if you already know what flux is

  • @naira-abdelmaged
    @naira-abdelmaged Před rokem +1

    مين هنا ف تالتة ثانوي وبيدور على فيديوهات 😂😂😂

  • @HONEST3382
    @HONEST3382 Před 8 lety

    thanks

  • @beautyofodisha
    @beautyofodisha Před 6 lety

    Thanks alot sir

  • @faria5179
    @faria5179 Před 8 lety

    very useful :) im highly grateful ^_^ thanks

  • @nyx211
    @nyx211 Před 7 lety +4

    How is electrical flux different from electrical current?

    • @AndromedaIX
      @AndromedaIX Před 5 lety +3

      Electric current is the same as the change in charge over time (I=Q/t) and charge being the number of electrons flowing multiplied by the charge of a single electron, also called an "elementary charge" (Q=n*1.6*10^-19)
      Q = Charge
      n = Number of electrons
      1.6*10^-19 = The charge of a single electron (One elementary charge)
      I = Current
      t = Time
      You can think of electric flux in the same way as Sal explained in the example with airflow. Electric flux is the number of force vectors flowing through a given area over a certain time interval. And the force vectors would then be caused by electrons instead of air particles. Hope this helped!
      Edit: typo

    • @swagotosurjodutta7341
      @swagotosurjodutta7341 Před 5 lety

      Erik H: Nice explanation, you deserve a like from me.