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As an illustration of this, I have scanned some scribbled solutions using various
conventions at
http://www.winbeam.com/~trebor/RC%20discharge.jpg
In each shown solution version, i indicates the direction of current defined
as positive, and the + sign shows which plate is defined to carry the charge q ( the
other plate carries -q). Both i and q may be negative or positive when these solutions are applied to particular initial conditions.
Given the accompanying conventions, every solution is valid for every initial condition, eg; for either sign of Qo, the initial charge on the specified plate.