This physics video tutorial explains how to solve typical gauss law problems such as the insulating sphere which contains electric charge throughout the volume of the sphere and not just the...

Jan 24, 2020 · By Gauss's law any charge outside the sphere does not distinguish how the charge is distributed as long as it is spherical. Inside the sphere, of course it does matter. For the conductor all charge is on the surface of the sphere. Gauss tells us that the field inside the sphere is …

A solid insulating sphere of radius a carries a net positive charge Q uniformly distributed throughout its volume. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and carries a net charge -2Q.

In this video, we explore the electric field due to a charged insulating sphere with a known and constant volume charge density. We show that you can use Gauss' law to find the electric field,...

Apr 12, 2018 · An insulating sphere of radius a carries a total charge q q which is uniformly distributed over the volume of the sphere. I'm trying to find the electric field distribution both inside and outside the sphere using Gauss Law.

Sep 15, 2020 · To find the potential inside the sphere, I used the Electric field inside of an insulating sphere from Gauss' Law, . where points from R (outer radius) to r (inner) and is shown in the drawing below. Because and point in opposite directions (they are anti parallel), I have the dot product where dr is the magnitude of .

Place a gaussian sphere inside the insulating sphere at a radius r < R. How much charge is enclosed by the sphere? What is the flux? The charge enclosed by the gaussian surface is the charge per unit volume multiplied by the volume of the sphere. The volume of the gaussian sphere is: V g = (4/3)πr 3

What is the difference between the electric fields inside and outside of a solid insulating sphere (with charge distributed throughout the volume of the sphere) and those inside and outside of a conducting sphere?

Now consider a solid insulating sphere of radius R with charge uniformly distributed throughout its volume. Once again, outside the sphere both the electric field and the electric potential are identical to the field and potential from a point charge. What happens inside the sphere?

Apply Gauss’ Law, ∮E ⃗ ⋅ dA ⃗ = Qenc ϵ0. An insulating sphere of radius, R, contains a total charge, Q, which is uniformly distributed throughout its volume. Determine an expression for the electric field as a function of distance, r, from the center of the sphere.