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    Electrostatics: Surface charge density and electric field

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    Two part question involving a spherical cavity inside a shell and calculating:

    a) the surface charge density

    b) the electric field

    Problem is attached in word format.
    Diagram is included in jpeg.

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    Solution Preview

    Please see the attached file.

    A spherical cavity of radius a, is at the center of a neutral (no net charge) spherical conductor of radius R. A charge q is placed at the center of the cavity. See Fig. 1 below.
    (a) Find the surface charge densities on the surface of the cavity, σa, and the ...

    Solution Summary

    A point charge is placed in a spherical cavity. The surface charge density and the field everywhere is determined.