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    Potential of a split cylinder

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    (a) Two halves of a long hollow conducting cylinder of inner radius b are separated by small lengthwise gaps on each side, and are kept at different potentials V1 and V2. Show that the potential inside is given by the following equation (see attached file for equation).
    (b) Calculate the surface-charge density on each half of the cylinder.

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    Solution Summary

    The solutions shows in detail how to solve Laplace equation for the split cylinder where the two halves are held at different potentials.