3.1.4 Laplace's Equation in 3D

In 3D, it helps to keep in mind the 2 rules about Laplace's Equation in any dimension. I also walk through a proof for a charge above a sphere, where we calculate the potential at the center of the sphere using the average of the potential of the sphere.

[jg]

Thanks. I'm glad I can help bring these things home.

[MechanicalEI]

Sir, very good explanation of the topic. You writing down the encourages me to make notes too. Thanks for uploading!

[LOLittleHero]

this is amazing, i have griffith's em textbook which is amazing but you really make it clearer. thanks!

[NabeeltheRealDeal]

I really appreciate you doing these vids, they're amazing!

[ios]

헐 한국 사람... thanks for the vids. You're gonna save my midterm tmr.

[macmos]

I'm reading the book and I'm a little confused about what is happening in this part of the chapter. How is computing the potential of the sphere relevant to the charge q above the sphere? Also, what role is the sphere playing exactly? Is it a conductor? I just don't understand exactly what is being computed and how the sphere and the charge are relevant to each other in the calculation. I'm really confused. 

[sanamlimbu]

the average of the potential V on the surface of sphere with a point charge q at the center equals the same as that on the surface.
This average should give the value of V at the center.But it is infinite at the center
does this average always give the value at the center?

[info-hub]

Sir if you shifted to spherical coordinates why didnt you put z=Rcos(theta)

[pnbsake]

I have the same question as Clayton about 1/sqrt(u).
Also, when you say du, do you mean du/d(theta)?

[susmitha]

continue your work with other topics too....ur are really gud!!!

[ShameerMohammad-oknj]

sir plz help me out
solve the poisson equation Uxx+Uyy=x2+y2 over the square region bounded by the lines x=0, y=0, x=3 and y=3, given that u=0 throuthout the boundaries taking h=k=1

plz sir help me out

[ClaytonKilmer]

when doing du shouldnt it be = i think you missed the root on u

[aaryan__bondekar]

at 7:29 why are we integrating from 0 to π