2. Two long cylindrical shells of metal (radii rr and re, with re > Ty) are arranged coaxially. The plates axe maintained at the potential difference Av. (a) The region between the shells is filled with a medium of conductivity g. Use Ohm’s law, I = gE, to calculate the electric current between unit lengths of the shells. (13) If the region between tjhe shells is filled with a non-conducting medium of permittivity c, the capacitance of the system may be computed from the definition C = QI.A5o. Show explicitly for the geometry that the product of resistance per unit length and capacitance per unit length is equal to r/g.
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