Recent content by Taxi1337

Thank you so much! I will try using Poisson's next to check if my answer comes up the same for ##E_{inside}.## I guess what was bugging me so much is i graph everything from our lecture and the problems i do in the book and check my units. everything looked okay for me except when i attempted...

For the outside: Step 1. find find k in terms of the total charge of the system (since non uniform volume charge density), if it was uniform, skip to step 2. $$\int_V \rho \, dV =Q_{total}$$ $$2 k \pi R^2 =Q_{total}$$ $$ k = \frac {Q_{total}} {2 \pi R^2}$$step 2. Find the charge enclosed by a...

So the plot I'm getting is , which is what I got all along (just not in terms of the constants ##Q_{total}## and ##R^2## ) . This question has bothered me a long time because I cannot think of anything where the electric field is constant and not a function of radius inside of a solid sphere...

1. $$\int_V \rho \, dV = \int_{0}^{2 \pi} \int_{0}^{\pi} \int_{0}^r \frac k r r^2 \sin \theta \, dr \, d \theta \, d \phi = 2 k \pi r^2 = q\,\,\,\,\,\, (16) $$ $$ q=2 k \pi r^2 \,\,\,\,\,\, (17) $$ solving for ##k## from ##(17)## ##k=\frac {q} {2 \pi r^2} \,\,\,\,(18)## Plugin in ##(18)##...

I am working on the same problem as a previous post, but he already marked it as answered and did not post a solution. https://www.physicsforums.com/threads/sphere-with-non-uniform-charge-density.938117/ I am curious as to a method of finding the ##k## and substituting into the electric...