ECE221: Laplace's Equation and Poisson's Equation

[gyorgyo]

I think I found an algebraic mistake at around 10:02. Constant B is wrong by a factor of a. Should be -V0 *a / (b - a).
I like using Laplacian to solve the parallel plate capacitor problem. I had never seen it done that way before.

[aliciamedlin]

Thank you soooo much for posting this. As an EE student, I can't express to you how simply, getting somebody to slow down and properly explain the material, without a think accent, is a huge deal. Thanks again.

[alexandermuller]

I always assumed the potential to be a linear equation in a parallel plate capacitor. Now I know the reason for that, thanks to this Video. It comes from the fact that we try to solve the Laplace equation. Awesome.

[alperenarslan]

perfect explanation, this will save my midterms . Thank you sir

[halvorhansen]

The equation on the screen in the first slide is obviusly wrong. E ≠ grad V. The correct formula is : E = −grad V

[shishengwang]

at 1:10, the electric field strength should be defined as negative gradient of potential, not positve gradient. But anyhow, by the derivative of the Poisson's equation, it is negative again.😀

[superuser]

At 10:51 I was basically thinking about the formula of a uniform distribution and then you wrote “b-a” :)

[jarikosonen]

It looks good for this case. But for real case it need numerical methods... It might become complicated to make it happen. That could be fine to see how the photon field operate here also.

[lostfeather]

Thank you sir.. You helped me alot with this😊😇.. May god bless you.. Keep uploading🙏🙏

[TheOneAndOnlyGamer]

Does anyone know what changes if we have a dielectric inbetween the plates? Do we consider Poisson's equation with rho being the bound volume charge density?

[mohamudhersi]

I have an home-exam right now because of covid-19, so it would be helpful if any1 could answer quickly. at 10:00 when you substitute for A in the expression for B, you seem to have forgotten the a that was already in the expression... or am i mistaken?

[الرياضياتالمبسطةللطورالثانوي]

Watt the different bitween the symboles 🔺and🔻

[rhulanimoyana]

Exactly what I was looking for...How I wish you did the entire module🥲

[robertthompson]

The word is ‘homogeneous’, not ‘homogenous’. The two words are spelled differently and pronounced differently and have different meanings.

[sanjursan]

It's homogeneous; not homogenous.