Does leaving a device on its charger for a certain amount of time (say 3 months) after it is fully charged damage the battery? What problems can this cause?
Yes it does. I don't know how much but I know with these new lithium batteries they aren't supposed to be charged longer than they need. It can cause reduced battery life over time
it depends on the charger. some chargers turn themselves off when the battery is full. those are much easier on the battery when it is left on the charger for a long period.