- Two metal objects are embedded in weakly conducting material of conductivity ?. Show that the resistance between them is related to the capacitance of the arrangement by

- Suppose you connected a battery between 1 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) = V0 exp(-t/?), and find the time constant ? in terms of ?0 and ?.

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