Recent content by jrc5135

trying to find the charge for both

but what about the charge coming from the inner sphere at Vo my da is going to rdrdtheta

Homework Statement A conducting sphere of radius a, at potential V0, is surrounded by a thin concentric spherical shell of radius b over which someone has glued a surface charge. sigma = kcos(theta) where k is a constant i know V(r, theta) and induced surface charge on the conductor...

da would be r^2sin(theta)drdtheta so then Vave = 1/a(integral (k q/r)*r^2sin(theta)drdtheta

not really sure how

no i dont

I was saying if you use the point charge formula for V(r) when you do the partial the r^2 that is being multiplied by the partial cancels the r^2 from V'(r) and you get a constant, so when you take the second partial with respect to r, you get 0 and you have that (dell^2)V = 0

I have and I know the potential outside the sphere has to only be in the +z direction because of symmetry, but I don't know the second part of your question.

wouldnt it just be 1/r^2 (d/dr)(r^2(dV/dr)) dV/dr = (-1/4*pi*e0)(q/r^2) and the two r^2 cancel and you get 1/r^2(d/dr)((-1/4*pi*e0)(q)) and that goes to 0 because there are not any r's inside the partial.

i really don't know?

not too sure?

1/(4*pi*epsilon nought) q/r

Homework Statement Find the general solution to Laplace's equation in spherical coordinates, for the case where V depends on on r. Do the same for cylindrical coordinnates assuming V depends only on r. Homework Equations Laplace's Eq (spherical): 1/r^2 (d/dr)(r^2(dV/dr)) +...

Homework Statement Find the average potential over a spherical surface of radius R due to a point charge q located inside. Show that in general: (EQ 1 below), where Vcenter is the potential at the center due to all external charges and Qenc is the total enclosed charge Homework Equations...