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5.8.8: Hollow Spherical Shell

Last updated

Mar 5, 2022
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- 5.8.7: Solid Cylinder
- 5.8.9: Solid Sphere

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Outside the sphere, the field and the potential are just as if all the mass were concentrated at a point in the centre. The potential, then, outside the sphere, is just $−GM/r$ . Inside the sphere, the field is zero and therefore the potential is uniform and is equal to the potential at the surface, which is $−GM/a$ . The reader should draw a graph of the potential as a function of distance from centre of the sphere. There is a discontinuity in the slope of the potential (and hence in the field) at the surface.

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