Maxwell’s Equations Part 4: The Ampere-Maxwell Equation

We have arrived at the fourth and final of Maxwell's equations! This is the Ampere-Maxwell equation, and it is sort of the opposite of Faraday's law. Instead of a changing magnetic flux producing an electric current, we will see how a changing electric flux through a surface produces a circulating magnetic field. This is called an Amperian loop. It has some new variables that we will want to define, so let's jump into it!

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[mcalkis]

It's great to see you go through some pretty advanced stuff. Would to love to see more.

[mhsohn]

No offense, but how can you be so knowledgable in all kinds of fields? I heard that you majored in Organic Chemistry, but it is really impressive that you can provide in-depth knowledge about electromagneticism too

[Shf]

Thanks professor! Thanks for sharing and spreading knowledge for everyone and for free. You really make the difference!

[Pinkguy]

I simply watch your vids cuz im bored during semester break, love it

[kylebeschler]

How do you know so much about so many different subjects? It's just crazy I think LOL but it's freaking awesome and I love it!!

[ilia]

If I am allowed to give a suggestion
Pls address the Formula of B=E/C is ONLY applied to is ONLY applied to the changing electric field (like whats happening in the capacitor) as C=1/μ0E0 and got nothing to do with constant electric flow that is the first part of the equation
Also I dont think it was clear enough that the + sign between 2 sides of the equations means that we beed or constant electric flow OR changing in electric field over time amd NOT together

[danielvolinski]

Given that E and B depend on t, x, y, z, shouldn't their derivative with respect to time be a partial derivative? Thanks!

[Howtosg]

Thank you so much for the great work professor Dave

[ronakjain]

hi i have exam on 8 april can some one explain n cap in this equation and how to use it when E=xi+yj+zk eg a surface is in xy plane wot I dooo HElp

[toymaker]

these ARE heaviside equations, not maxwell equations. maxwell equations included the scalar component

[nabriss]

for the first time in my life, i am posting the first comment, thanks prof. dave

[Lennon]

Surprisingly, Quantum Mechanics is easier to understand than Electromagnetism and Electrostatics.

[willbyrob]

Can you do a video on Elwood’s Dog Meat farm?

[flurit]

what in the bacon with mustard filling is that thumbnail?! people understand this shit?