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  • For Gauß' Rule: h t t p : / / hyperphysics . phy-astr . gsu . edu/hbase/electric/gaulaw . h t m l (mind the gaps!)

  • around 22:28, why would the gravitational field of a cubical planet be 0?

  • @4thKyuubi i mean why would the gravitational field of a cubical planet WOULD NOT* be 0?

  • omg LOL i love his food pins... he wore an egg in the last lecture and a bagel in this one

  • Anyone else get 'Fitness Sexy Torture Workout" as a suggested video after this one?

  • at 17:47 why is the electric field = 0?

  • @4thKyuubi

    because Qinside = 0 (inside the chosen gauss surface), that's a key argument. If you don't understand that i would stop following.

  • The normal force is dA?

  • @4thKyuubi

    dA is a surface element, explained at the beginning of the lecture. the lenght of the vector dA is the magnitude of the surface element (explained at 02.02), this has nothinf to do with forces, don't know where you see forces.. look again please..

  • @slimmerikje oh, he said that the book writes n*dA simply as dA. I assumed that n was the normal force? And dA is the surface area of that specific element right?

  • Best face at 46:55

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  • The talking pink pixel is very clever

  • I wonder how many cats it takes to power Los Angeles

  • It would be nice if these videos weren't filmed with a calculator.

  • @roastbeef240 can you seriously not read the equations or anything? it's not Avatar, it's a lecture.

  • It's great that the MIT provides those videos, but 240p? ;) haha

  • i wonder how he draws the dotted lines:S?

  • @khanTatifur

    with a piece of chalk which tip is dented

  • Best teacher. ever.

  • Wow, this course moves fast. In my physics class, we didn't get to Gauss's Law until at least a week or two after the third lecture of the semester.

  • mail2vpsinghh----I dont think anybody in the world can do this

  • Damn, I'm glad someone in the class thought to use their calculator to film this!

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  • I am going to buy backboard and chalks and draw dotted lines all day

  • 21:09 sounds like he made a mistake and corrected it afterwards

    great teacher by the way :)

  • Which textbook do they use?

  • no doubt you are the best teacher i have ever seen in my entire life.

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  • Dam this professor did so much in less than an hour and it made sense

    have test tomorrow should have seen his videos earlier

  • what happend if the professor don´t touch the plate??

  • What bastard dislikes these

    

  • @Superdoerr he applied pressure from one end of the chalk at an angle to board (greater than 90 degrees from the direction) and with the speed of his hand and the friction produced from the board, it makes it skip (learned that in art class :b)

  • how did he draw that dotted line at 36:17 so quickly...?

  • @molopo the chalk skips across the board... sort of "chatters" or vibrates as it is pushed...

  • can scalers be smaller than 0? 6:47

  • @TheFaceOfJohnPants

    They can yes... Scalars and Real numbers are almost in all cases synonymous, they can take on positive, negative, and zero values

  • @ilya150 thnx

  • what is that little n^ means 

  • @1234dhawala it shows that n is a normal vector (has a length of 1)

  • why is he always wearing his breakfast?

  • yes ye amazing conspiracy haha. Ive heard this topic 3 times n until now I didnt notice that every electric field at every point inside the sphere is equal to 0.

    :O

    Great teaching thank you shooooo mushh!!! :33333

  • Is lecture 2 missing or is it just me?

  • @Zebarbas Nevermind. It wasn't showing up when i searched it, but i played the playlist and found it.

    Thank you MIT for providing this material for free, and thank you professor Walter Lewin for these excelent lectures.

  • isn't this all taught in high school?

  • @MultiRockzz nah high school physics is basic this goes hard core.

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  • simply amazing.

    11 people are dead in the water.

  • thanks for the vids one of the best finds on u tube!!!! prof Lewin is awesome!!

  • Great, I tested out of all my intro classes and I feel like I missed out a little bit. This will help a bunch with preparing for the GRE. Working through all the problem sets and watching these videos will be a rewarding and entertaining experience. I wouldn't say that he puts all my professors to shame, but he is definitely a remarkable professor.

  • this is what happens when one loves what he does

  • I thought my professor was good but this guy is like HD television

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  • Walter Lewin: Making other professors look like shit!

  • @ATIhYdrax awesome comment!!! :D

  • Thanks Professor Lewin, I've been in bed all week with the flu but these videos help me keep on track with my classes.

  • Half the time my prof doesn't even seem to know what he's talking about. Thank you Prof Lewin

  • 41:37

  • thanks to this man i actually get this stuff now watched over 4 hrs of him thank u mit

  • this professor actually wants us to learn !!!! AHHH SO BEAUTIFUL

  • ivy league schools spoon feed theirstudents beyond belief not to mention most come from private schools

  • @dojOdRiFTeR

    If by 'spoon feed' you mean teach extremely well then yes you are right.

  • @LegendLength its the truth

  • ok to actually see that E through the verticals is indeed 0 one has to apply coulomb's law in cylindric coordinates, Ex and Ey will then vanish. still its kind of hard to grasp why E is really constant everywhere, i.e. also with a constant force on any test charge. well physics works but it can become sometimes very weird .

  • @25:48 I don't get it. How is it possible to determine the E-field of the infinitely large plane at location via a small closed cylindric surface? What about all the Q's still lying outside the cylinder and their contribution to E at location d ? Isn't it the purpose of the Gauss surface to have all those Qs within the surface like in the spheric example?

  • Is the fact that the force F goes like 1/r^2 really the reason why E equals 0 within a hollow thin sphere ??

  • @mdinka E is 0 within a hollow, uniformly-charged sphere because the next field exerted by all the external charges cancel out. try this: draw a circle, choose a non-centered point within the sphere, and then draw all the contributing fields at that point. the addition of all the vectors should cancel out

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  • Maxim, ya nye znayu cho takoye botanyk v vashom ponymaneye, no yesly etovo cvitochnika pritstavyt na minutky kak licom MIT, to ya uveren sho dazhe vu bu razkhakhatalys (udivilis). Da y vopsche, nyechevo obsuzhdat bolnykh ludey, seriozna. Vu shto nyekagda nye slushaly o ponyateye quotu? Ya svamy polnastyu soglasyen po povady sho amerikye nyechevo ponymat: koneshno, nabrala specialistov s CCCP i poryadok...

  • so, the magnetic fluz is equall to the product of the magnetic filed and the area the fiel passes through and the agnle between the fiel lines and the surface of the area they pass through,, measured in webers which is equal to one tesla per metre squared,

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  • Why did he discharge the ping pong balls? Shouldn't he have charged them up before putting them into the hollow sphere?

    The electroscope showed no charge because there wasn't any charge to begin with.

  • @Stratocaster1111 at 48:00? They had to be discharged before hand. If he had them outside of the sphere, it would push the positives out and the negative in (or vice versa depending on the sphere's charge). In the center there's no charge, because the forces would cancel each other out, so positives and negatives wouldn't get split up to each ball.

  • lol at 41:37 : focused.

  • @digicho if you listen his words, he clearly says that the force of gravity WOULD BE ZERO at the center of a HYPOTHETICAL HOLLOW planet. he doesn't say that the earth's force of gravity is zero at its center. anyway, good on you for being that nobody annoying guy that needs to prove the expert wrong. congratulations.

  • @enki7777 Thank you, earthlings. Last time I have seen this the expert was saying differently. Not uncommon. Lately I ponder an idea of electrical pressure gravity where from spontaneously comes so called hollow earth. Let's say it's interactive.

  • Quick homework. How about propagation of charged infinite large cone?

    BTW Doc's wrong about g inside planet which is not 0. Gauss is for surfaces.

  • @digicho If there's g at the centre of the planet, then in which direction is it pointing? "Gauss is for surfaces" what do you mean?

  • Люди ..А ведь наши преподы ничем не хуже???? так почему наши университеты не столь привлекательны?

  • @shturmanDark Да MIT собственно за свою науку известен, за исследования, за академиков. А учиться там на бакалавра это только бабло на ветер выбрасывать, если конечно нет гранта. Любой более-менее нормальный универ даст те же знания. Вот если же там докторскую делать - другой разговор. Там для этого все условия, тем и привлекателен.

  • @MaximPodolsky Da tam vopsche kakiyeta downu sobralys na 41:37. Sho za khernya??

  • @shturmanDark Ya bu tak nye skazal.... u menya collasalnaya uvazheneya k russkim universitetam y naukye. Nasha nauka #1, dazhe MIT mozhet paity pakurit bambuk! Y Amerikancu eto vsye prikrasno ponymayut, prosta pasmatry film "Iron Man 2" y vsye stanyt yasno kak dyen.

  • @62Chicago Извините, но вы обобщаете "дауны собрались" на основании одного человека который выглядит скорее как ботаник, а не даун, и сравниваете российскую науку и американскую на основании фильма iron man 2? Американцам ничего не нужно прекрасно понимать, у них наука финансируется, в отличии от России, или ваш опыт говорит об обратном?

  • @MaximPodolsky Maxim, a vu kadato sravnyvaly programu uchobu v russkykh universitetakh y angliskikh? Kstatye, v Rossiye shto nyelzya brat knigi damoj? - tolka za dengy??

  • The professor teaching my e-mag course spends the entire time deriving equations. Very boring. >.> Thank god for this.

  • I wanna know how he makes them fast dotted lines

  • @S1CKDRIFT3R He holds the chalk almost perpendicular to the board, but ever slightly away from the direction of motion (maybe about two degrees). Then, due to the high pressure, by moving the chalk he causes a skip-dragging effect where the chalk skips, lands and drags on the board very briefly, skips again, and so forth. Same principle as wet finger moving on wine glass rim causing a high frequency sound. Also same as the effect when you drag your finger on a steamed window with high pressure.

  • estudiar en el tec de monterrey seria un gran desperdicio de dinero teniendo estos videos gracias MIT

  • thank you MIT and youtube and proffesor!

  • Napoleon Dynamite makes an appearance at 41:37.

    But anyways, I appreciate these videos and the teaching style of Professor Lewin.

  • thank you Walter Lewin, thank you MIT, thank you Youtube, you are example of professors, schools and companies

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  • thanks internet , thanks youtube

  • so electric flux is the amount of `electric force` that goes through an area,am i right?

    In the formula: dɸ=E(vector) • ňdA, what has the surface of the area(dA) has to do with the magnitude of the vector which unit vector is n roof?

  • @otTbc123 the magnitude of vector n-hat is 1, regardless of the area. The vector n-hat is there to indicate the orientation of that small area in space. If it's parallel to xy plane then n-hat is equal to z-hat (or k-hat in some books).

  • Another form of Gauss' Law: The Divergence of the Electric Field E is the Charge Density divided by the Electric Constant. ;)

  • Excuse me.

    I still don't follow the superposition principle, especially the part when Mr. Lewin talked about the plates (infinitely large) and the E-field between is a constant. And that answer is given by the vectors going up and down. I don't understand why the vectors are always going down and doesn't cancel out between the plates

  • @YoAddicts because the plates have different charges and the vector always go from plus to minus, draw the picture and you'll understand, from the positive plate you'll have vectors pointing out of that plate and from the negative you'll have vectors poiting into that one.

  • India must be on top of shit then cause this is a 2nd semester calculus based college physics course

  • thank you alot for this.

  • yeah i agree..it matches perfectly with the 12th grade course in india..woohoo!

    Thanks alot!! :)

  • man, this is like 12th grade in india, is this the first year

  • @supersaiyan4vegeta20 in Russia there are only 10 grades and integrals are covered in the 10th grade. So I don't know what you guys in India do for 2 extra years. Seriously though, don't get a false sense of superiority because you think you "learned that in grade 12"

  • Perfectly matches with the Indian 12th grade course... thanks so much

  • At 10:13, I'd like to know where the "r roof" goes, my fundamentals in vectors are quite poor. I wonder if this has anything to do with that. Thanks.

  • the r roof went to see your mother

  • the r roof is just a unit vector. you would need the r roof for the potential because it's a vector, but you don't need it for the flux because it's a scalar quantity.

  • Can anyone recommend good supporting materials online (something that might have some of the info their textbook is supplying)?

  • guys,can somebody explain why did the balls loose their charge when he inserted them inside the sphere(the no electric field area) ?

    shouldn't it just kept it's charge & never decrease nor increase ?

  • @mst7eel

    The balls were oppositely charged when placed inside the sphere. He then touched the balls together (without touching the sphere), which evenly distributed the charge difference between the balls. The point of the experiment was demonstrating that there is no field inside a conducting closed surface, while it is possible to create a dipole from the field from the external surface.

    The balls would have remained charged had he not touched them together inside the sphere.

  • THANKS, much clear now

  • @md65000, the electric field is zero inside the sphere ONLY IF the charges on the sphere are distributed in an uniform way. But if you put a test charge inside the sphere, close to the wall, it will create attraction (or repulsion forces) on the charges of the wall, and therefore the charges in the sphere will not be uniform anymore and then the E inside due to the sphere is not zero neither.

  • The thing about the electric field being zero everywhere inside a (+)charged sphere is kind of hard to swallow. Then if you put a (-)charged particle anywhere inside the sphere it will experience no forces of attraction toward the wall of the sphere - even if you put it right up near the wall. If that's true then he's right - that IS an amazing result!

  • @md65000 I think you can easily understand it. If you put a charge, lets say the opposite charge of the sphere, then it will get attracted to the closest sphere charges since it is a strong attraction. BUT it will also get attracted to the charges at the other side of the sphere. Yes they are less strong but you have MANY MORE of them. So they cancel each other out.

  • Last lecture he had a fried egg on his shirt, today he has a bagel. I guess tomorrow he'll be wearing an Egg McMuffin?

  • hey guys since E=-∇V, does this mean that negative Voltage would "emit" positive electric field, and positive V negative ef?

  • @angello90pl Voltage is a result of the existence of the electric field. Mathematically it is the integral of E*dr = (kQ/r^2)*r = kQ/r [from coulombs law ]

    The E you're talking about , I surmise, is the kinetic energy of a charged particle as it travels in the electric field from higher to lower potential by convention. Hence the delta V.

    It's negative because a drop in pot en corresponds to the exact same increase in the kinetic energy and vice versa - analogous to an object in gravit field.

  • It means that if there was a positive electric field and a positive charge was placed in the field, then the charge's change in potential (delts V) will be negative because of the E-field's 1/(r^2) relationship. Delta V is dependent on E and E is dependent on Q, so Q is the only thing that "emits" anything.

  • im interested in a orbital system that could adjust a body's gravitational and fielding dynamic and to manipulate it in ways for human use and to make environments that wouldn't normally be usable, livable. Any one care to contribute to my madness?

  • I wish he was my professor

  • i am seriously jealous of his handwriting

    his lines and circles are so perfect and clean

  • is this university stuff or college/cegep stuff in quebec?

  • how does he do the perfect dotted lines???

  • If you pull chalk across a chalkboard at an angle it scratches off smoothly, but if you 'push' the chalk point-first across the chalkboard it bounces in your hand like he does. There are also annoying ways to make it make a screeching sound and have the class pulling their heir out for the aweful sound. ;-)

  • 41:36 i love the "electromagnetic" hairdo

  • i should have been taking notes... i keep forgetting what all these variables mean haha

  • Wow, these MIT videos are great they put all my professors at the University of Michigan to shame. Why in the world cant all professors be like this???

  • @ride1157 UCLA too

  • @ride1157 the difference between the two is their passion to teach or absence of in many proffesors nowadays 

  • @ride1157 My E&M professor at Michigan Technological University was right on par with Lewin. Dr. Robert Weidman is his name.

  • Professor Walter Lewin, the great.

  • i've watched all of these wonderful lectures and it's totally worth it. i'm already building basic motors, transformers & capacitors. now i'm re-taking this class & writing it all down in a text book.

    love this stuff!  walter lewin is the win!

  • If i understood the math, then perhaps it would be more understandable to me, but i do not.

    If you have a sphere and it has no electrical force on the inside, then why does putting the opposing balls(dipole) inside eliminate the charge on the balls?

  • Same thing outside and far away from the sphere: no field=no dipoles when physically touching and electrons go back to rest. But close to and outside the charged metal shell dipoles are created when suddenly separated at that proximity since the sphere pulls electrons from the far sphere to the near sphere through its conductivity to induce the dipole effect.

    ;-)

  • people are already dropping out 1st lecture had 150k views :D

  • superb no words to say,greeeeeeat

  • excellent.. Love this.. I can at least take some classes that I have always been interested in.. thanks

  • At what age do Americans start college education? I'm curious because the topics covered in this module are taught in high school in some countries (where the Cambridge A level syllabus is followed). But we join college when we're 19 tho. I'm pretty sure however that noone else explains these topics as well as he does. Wish I had access to these lectures earlier...

  • If they go into college right after high school then normally 18,19 years old.

  • He eat on his shirt or what ?

    It started with an egg, now a donut =))

    Knowledge and fun, a rare equation. Often with two unkwown :)

    Thanks for the vids, great serie

  • I think the British system is 13 years of basic of education, while the American standard is 12 years. Correct me if I'm wrong, but I believe universities in the UK are three years compared to four years in the United States.

  • @interxavierxxx You are right

  • This is too complex. We got it all wrong when Voltaire supposed voltage increased with current flow ages ago when ideas were simplistic and technology crude. The guy made a mistake. The FMMC meter measures conductance = L/A (R=rL/A is wrong too). So when he increased his pile size we all fell for the theory that a fluid-flow increase was the result. Actually electrons became fewer but FASTER in the load wire. Think carefully about a meter in series with a variable resistor and you will find.

  • Who needs a physics lab with a teacher like this guy?

  • I agreed.

  • superb.mind blowing no words 2 describe.prof lewin is my idol

  • walter lewin is the man... i haven't heard of anyone else who is able to put things that clear

  • I wish I could pay him a visit... Is he still teaching at MIT?..

  • I'm taking this course in the Fall. How great to be living in a time where a Ivy League lecture is offered so conveniently. Praise be to God.

  • GGGGGRRRREEEEAAAATTTT and nothing else

  • oops i made a mistake in my work he must be right no mistake, but that was not the reasomn why inside was 0

  • wtf 4.05??/ lol

  • malheureusement nos cours ne ressemblent pas à ça ^^

    Leider sehen nicht unser Unterrichten so aus !

  • I have two strands of wire, and wind them parallel and untwisted on an iron core. Let's say the first strand is green and the second is red. In green wire, the current is flowing clockwise around the core. But, in red wire the current is flowing counter clockwise. Can I pick up a piece of steel with 2 amperes of current flowing through both pieces of wire?

    What if I say, yes.

  • How in the world, do magnetic assemblies, with odd numbers of magnets in opposition actually ever pick up more, than the same stack of magnets. What kind of scale issue is that, or is that identity?

  • I built the coil I mentioned a day ago. I have owned cow magnets, and made magnetic assemblies. What else can it be except seperate magnets, and about the same difference as the observer in the double slit experiment. Except that in that case there was the observer, and in this one, identity.

  • lol 13:20

    OCD much? I love this guy

  • he saves my butt in AP physics...

    and that is a bagel on his shirt right???? what?

  • what's with the food he puts on his shirt? (fried egg, donnut...)

  • lmao i know, they say geniuses are often exccentric i guess he's a case in point =)

  • beautiful mind

  • yeah, this guy knows eactly what he is going to say, and how he is going to present it. It's not some guy winging it, that's for sure.

  • i learn more from these online lectures than attending my own physics lecture. thats what you get with MIT i guess

  • prof rocks!

  • OK thanks i figured so. Its MIT , I don't understand why university is called college in the states. In Canada we have colleges and universities, where college is a step below university.

  • A University is a collection of colleges: for instance College of Arts & Sciences, College of Justice and Safety, College of Nursing, etc. If you attend a university, you are a college student. College is in no way "below" university.

  • Is this first year physics, anyone know?

  • yea this is second semester of college physics.

  • calculus-based college physics

  • Gauss's Law- 11:47. YES.