Physics 46 Maxwell's Equations (3 of 30) Gauss' Law: A Closer Look

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In this video I will take a closer look at Gauss' Law.

[@Therock151214]

So much better than my uni lecturer. Thank you very much sir.

[@sidewaysfcs0718]

funny this is, Gauss probably never saw a light bulb , or any electric device in his entire lifetime, Gauss's theorem is just a pure mathematical theorem, relating the surface integral of a Field to the volume integral of the Divergence of that Field, but it's brilliance is what powered physics decades later.

[@josephabrams6684]

They did have "primitive" light bulbs around the time he created this formula, also telegraphs. It's amazing how recently all of this was.

[@simonchaer2901]

Excellent...Indeed Math is the underlying truth of the physical world. Interesting to notice how the idealized world of mathematics is the crucial tool needed to explain the natural world we live in. I don't think we could effectively explain the physical world only by making use of empirical, observational based methods.

[@zakirhussain-js9ku]

An electron field is being considered around a charge. A field is a vector & a vector must have a direction. I think direction of electric field is undefined until a test charge is brought in. If test charge is similar, force field will be repulsive and if it is opposite it will be attractive. Interaction b/w fluxes decides direction of force field. Flux of a single charge has no direction. I think what we can say is that charge has flux around it which decreases as per inverse square law. Total flux at closed surface is proportional to net charge contained inside closed surface.

[@MichelvanBiezen]

We can say with certainty that the field around a point charge is directed radially outward in all directions.

[@valeriereid2337]

Brilliant!

[@MichelvanBiezen]

Thank you. 🙂

[@gfarj]

Question: If permittivity of free space is some sort of the ability of free space to permit an electric field, then by logic IF permittivity is not constant, then the higher permittivity, also higher E value that it can permit ... so why its not directly proportional to E in this equation?

[@MichelvanBiezen]

+Juang Mukhtar The higher the permittivity, the more difficult it is for an electric field oscillation to travel through space, thus E is inversely proportional to permittivity.

[@gfarj]

+Michel van Biezen I get confuse with the word "permit".. isn't it means allowing something?? more you allow something, the more we got on that something..

[@MichelvanBiezen]

+Juang Mukhtar Yes the name is a little deceiving.

[@loyanganba9722]

nice debate

[@Chicken_Little_Syndrome]

How do you define free space? Are you an ether theorist like Maxwell was? Or do you think that nothing can have properties?@@MichelvanBiezen

[@umritanasthasia9061]

Hi sir. Is dA the same as dS? Thank you for answering.

[@MichelvanBiezen]

The letter "A" is typically used for "area" and the letter "S" is typically used as "length" along a curve, or displacement.

[@medsaifeddinekamoun2921]

@@MichelvanBiezen Sometimes the letter "S" is used as an abbreviation for the word "surface", wich explaines why this confusion happened in the first place .... take a look, it's even used like that by wikipedia : en.wikipedia.org/wiki/Electric_flux

[@tommytommson9770]

Where can I find your videos on Sinusoidal electromagnetic wave? Thanks

[@MichelvanBiezen]

Are you looking for this? PHYSICS 50 ELECTROMAGNETIC RADIATION kzbin.info/aero/PLX2gX-ftPVXXYBW7GSlU16b6DRFMfkE67

[@kaleemullah8142]

Thanks a lot Michel for good lecture, Can you also refer me a book from which you are preparing lecture and which have more physics explanation of the equations and is highly suitable for beginners..

[@josephabrams6684]

He never responded to this, so I'm going to give my 2 cents. Almost any college-level physics textbook will have these formulas in them at a "beginner" (ie. you have had multivariable calculus) level. For, a slightly more thorough explanation that is still at the "beginner" level Griffith's electrodynamics tends to be the go-to textbook, it's actually pretty understandable/readable even if you're just learning a lot of this stuff for the first time.

[@tchalimgnimdou3637]

You Said dot instead of cross products. When you were explaining A.B.cosθ

[@MichelvanBiezen]

It is a dot product.

[@pudiful]

A.B.Sinθ is cross product. The professor is correct. By the way great videos.

[@curtpiazza1688]

😊

[@MichelvanBiezen]

👍