/sci/ - Science & Math

>>12688483
If you think of capacitors as just two metal plates with a gap between them, after infinite time the charges will have fully settled on either side, and no more current will flow because there is nowhere for the charges to actually go.
Another way to see this is the equation for the voltage of a capacitor - it is directly proportional to the charge difference between the plates. Thus by KVL, if there is enough charge on the capacitor, there will be no voltage difference across the resistor which implies that the current is zero.
Lastly, you could solve the differential equation of an RC circuit (in terms of i), which produces a decaying exponential that of course goes to 0 as t goes to infinity.