(a) Two halves of a long hollow conducting cylinder of inner radius b are separated by small...
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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 Vl and V2. Show that the potential inside is given by
Where ? is measured from a plane perpendicular to the plane through the gap.
(b) Calculate the surface-charge density on each half of the cylinder.
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