(a) Two metal objects are embedded in weakly conducting material of conductivity a (Fig. 7.6). Show that the resistance between them is related to the capacitance of the arrangement by
(b) Suppose you connected a battery between I and 2 and charged them up to a potential difference V0. If you then disconnect the battery, the charge will gradually leak off. Show that V(t) = V0e ât/Ï, and find the time constant, Ï, in terms of Îµ0 and Ï.