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    Spherical coordinates and electrical charge

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    An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.

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    Solution Preview

    Please see the attached file.

    The density of the charge is given as: , ...

    Solution Summary

    This finds the ttoal charge inside a sphere with a proportional radius.