Apply Gauss's law and determine the magnitude of electric field as func- tion of r both inside and outside the sphere. (Inside the sphere, consider regions of two different volume charge densities separately.) What fraction of total charge is deposited in both regions of the sphere?
Apply Gauss's law and determine the magnitude of electric field as func- tion of r both inside and outside the sphere. (Inside the sphere, consider regions of two different volume charge densities separately.) What fraction of total charge is deposited in both regions of the sphere?
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...
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Transcribed Image Text:2. Apply Gauss's law and determine the magnitude of electric field as func-
tion of r both inside and outside the sphere. (Inside the sphere, consider
regions of two different volume charge densities separately.)
3. What fraction of total charge is deposited in both regions of the sphere?
![You have learned to apply Gauss's law to spherical charged bodies with
uniform charge density p. Suppose some tech genius approaches you and ask
you to analyse a charged component that his company has developed and will
feature in his next upcoming invention. This charged body that you need to
study has spherical shape of radius R and it contain positive charge Q. The
tricky part is that its volume charge density is not constant but is function of
distance from the centre i.e. p(r). This charge density is equal to 3Ar/(2R) for
r< R/2 and A[1 – (r/R)²] for R/2 < r < R . The quantity A is a constant
having units of C/m³.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac16a8f8-6649-4e01-bc9b-63ee83567d84%2F53a6a49b-f7a2-4b48-842c-449aed4921d8%2Fj6o7b19_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You have learned to apply Gauss's law to spherical charged bodies with
uniform charge density p. Suppose some tech genius approaches you and ask
you to analyse a charged component that his company has developed and will
feature in his next upcoming invention. This charged body that you need to
study has spherical shape of radius R and it contain positive charge Q. The
tricky part is that its volume charge density is not constant but is function of
distance from the centre i.e. p(r). This charge density is equal to 3Ar/(2R) for
r< R/2 and A[1 – (r/R)²] for R/2 < r < R . The quantity A is a constant
having units of C/m³.
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