- #1
user3
- 59
- 0
If you have a charged solid sphere with uniform volume charge density ρ, then the total charge on the sphere is
Q = ρ*4/3*∏*R^3 , where R is the radius of the sphere.
Now, if you also know that any single spherical shell from within the sphere has uniform surface charge density σ.
Then the total charge on the sphere could also be written as ∫σ 4 ∏ r^2 dr with the limits from 0 to R. That would give
Q = σ*4/3*∏*R^3
but how is σ = ρ ?
Q = ρ*4/3*∏*R^3 , where R is the radius of the sphere.
Now, if you also know that any single spherical shell from within the sphere has uniform surface charge density σ.
Then the total charge on the sphere could also be written as ∫σ 4 ∏ r^2 dr with the limits from 0 to R. That would give
Q = σ*4/3*∏*R^3
but how is σ = ρ ?