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- PHY102 Physics II © Dr.Cem Özdoğan
- 23-9 Applying Gauss’Law: Spherical Symmetry
- In Fig. 23-19a, r > R. The charge produces an electric field on the Gaussian surface as if the charge were a point charge located at the center (ST1).
- Figure 23-19b, r < R. The charge lying outside the Gaussian surface does not set up a net electric field on the Gaussian surface. The charge enclosed by the surface sets up an electric field as if that enclosed charge were concentrated at the center.
- Letting q' represent that enclosed charge:
- Fig. 23-19 The dots represent a spherically symmetric distribution of charge of radius R, whose volume charge density is a function only of distance from the center.
- The charged object is not a conductor, and therefore the charge is assumed to be fixed in position. A concentric spherical Gaussian surface with r >R is shown in (a).
- A similar Gaussian surface with
- r <R is shown in (b).
- (If the full charge q enclosed within radius R is uniform)