Example 24.5 A Spherically Symmetric Charge DistribuTion Problem An insulating solid sphere of radius a has a uniform volume charge density p and carries a total positive charge Q (Fig. 24.11). A Calculate the magnitude of the electric field at a point outside the sphere. B Find the magnitude of the electric field at a point inside the sphere. Gaussian sphere Gaussian sphere (a) (b) Figure 24.11 A uniformly charged insulating sphere of radius a and total charge Q. (a) For points outside the sphere, a large, spherical gaussian surface is drawn concentric with the sphere. In diagrams such as this one, the dotted line represents the intersection of the gaussian surface with the plane of the page. (b) For points outside the sphere, a spherical guassian surface smaller than the sphere is drawn.
Example 24.5 A Spherically Symmetric Charge DistribuTion Problem An insulating solid sphere of radius a has a uniform volume charge density p and carries a total positive charge Q (Fig. 24.11). A Calculate the magnitude of the electric field at a point outside the sphere. B Find the magnitude of the electric field at a point inside the sphere. Gaussian sphere Gaussian sphere (a) (b) Figure 24.11 A uniformly charged insulating sphere of radius a and total charge Q. (a) For points outside the sphere, a large, spherical gaussian surface is drawn concentric with the sphere. In diagrams such as this one, the dotted line represents the intersection of the gaussian surface with the plane of the page. (b) For points outside the sphere, a spherical guassian surface smaller than the sphere is drawn.
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Transcribed Image Text:Example 24.5 A Spherically Symmetric Charge Distribution
Problem An insulating solid sphere of radius a has a uniform volume charge density p and carries a total
positive charge Q (Fig. 24.11).
A Calculate the magnitude of the electric field at a point outside the sphere.
B
Find the magnitude of the electric field at a point inside the sphere.
Gaussian
sphere
Gaussian
sphere
(a)
(b)
Figure 24.11 A uniformly charged insulating sphere of radius a
and total charge Q. (a) For points outside the sphere, a large,
spherical gaussian surface is drawn concentric with the sphere. In
diagrams such as this one, the dotted line represents the
intersection of the gaussian surface with the plane of the page. (b)
For points outside the sphere, a spherical guassian surface smaller
than the sphere is drawn.
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