Gauss' Law with Calculus Video Lessons

Video Thumbnail

Concept

Problem: Consider a sphere of radius R and total charge Q with a nonuniform volume charge density ρ(r) = C × r5Find CWhat is the electric field for r < R?What is the electric field for r > R?

FREE Expert Solution

In this problem, we are dealing with charge, charge density, and electric field. We'll need a few expressions relating the quantities.

Gauss law:

93% (59 ratings)
View Complete Written Solution
Problem Details

Consider a sphere of radius R and total charge Q with a nonuniform volume charge density ρ(r) = C × r5

  1. Find C

  2. What is the electric field for r < R?

  3. What is the electric field for r > R?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Gauss' Law with Calculus concept. You can view video lessons to learn Gauss' Law with Calculus. Or if you need more Gauss' Law with Calculus practice, you can also practice Gauss' Law with Calculus practice problems.