Recent content by SarahAlbert

So it would then be (rcosθ)^2r^2sinθdrdθdphi which becomes r^2sinθcosθdrdθdphi and then become r^2sin(2θ)/2drdθdphi

I'm beginning to think that it's also not as easy as (pcos∂)^2 since my radius is R then p=R so isn't it ∫∫∫pcos∂)^2p^2

Homework Statement Use spherical coordinates to evaluate the integral over a sphere of radius R. Homework Equations The equation of my sphere would be x^2+y^2+z^2=R^2 Please see the attached file. The Attempt at a Solution I have attached a file to show my work so far. Evaluating the...

Homework Statement I'm suppose to verify the given Laplace in (a) Cartesian (b) Sperical and (c) Cylindrical coordinates. (a) was easy enough but I need to know if I'm doing (b) and (c) correctly. I don't need a solution, I simply need to know if the my Spherical formula is correct, my...

Homework Statement A sphere of radius a has its center at the origin and a charge density given by p=Ar^2 where A=constant. Another sphere of radius 2a is concentric with the first. Find the flux through the larger sphere. Homework Equations Flux=E*da The Attempt at a Solution According to...

Thank you so much for all your help by the way!

Isn't it zero? According to the problem even though it is constant between b and a, it is zero everywhere else.

See all the examples I've read about say that yes, the charge enclosed is independent of the sphere. However, in those cases the charge was enclosed by the small sphere. In this case the charge is between a and b. So I don't believe the charge is independent of the radius in this case because...

a<=r<=b a (is less than and equal to) r (is less than and equal to) b

Homework Statement Two concentric spheres have radii a and b with b>a. The region between them is filled with charge of constant density. The charge density is zero everywhere else. Find E at all points and express it in terms of the total charge Q. Do your results reduce to the correct values...