A charged sphere has a charge density of T= ar? where a = 2µCm3 and the radial distance r is measured from the center of the sphere. The radius of the sphere is given as b = 2cm. Considering a Gaussian sphere (GS) of radius R with the same center as that of the charged sphere; For R b: (c) What is the net flux through the GS? (d) Draw a graph showing the magnitude E of the electric field as a function of the distance r from the center of the sphere.

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A charged sphere has a charge density of
T= ar? where a = 2µCm 3 and the radial distance r is measured
from the center of the sphere.
The radius of the sphere is given as b = 2cm.
Considering a Gaussian sphere (GS) of radius R with the same
center as that of the charged sphere;
For R< b:
(a) What is the net flux passing through the GS?
(b) What is the magnitude of electric field at the radius R from
the center?
For R> b:
(c) What is the net flux through the GS?
(d) Draw a graph showing the magnitude E of the electric field as
a function of the distance r from the center of the sphere.
Transcribed Image Text:A charged sphere has a charge density of T= ar? where a = 2µCm 3 and the radial distance r is measured from the center of the sphere. The radius of the sphere is given as b = 2cm. Considering a Gaussian sphere (GS) of radius R with the same center as that of the charged sphere; For R< b: (a) What is the net flux passing through the GS? (b) What is the magnitude of electric field at the radius R from the center? For R> b: (c) What is the net flux through the GS? (d) Draw a graph showing the magnitude E of the electric field as a function of the distance r from the center of the sphere.
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