I have a mile long parallel plate capacitor AB. It may be taken to be two parallel conducting wire with rectangular cross sections and the wires are close to each other forming the capacitor. The capacitor is fully charged to a voltage V. It is then discharged at the end B through shorting it with a resistance R.
Question: What is the time taken for the capacitor to fully discharge?
What I have in mind is that when fully charged, the plates have uniform inner surface charge density +d/-d along the wires. While discharging, current flows along the wire. As it is well know that the drift velocity of current is extremely small - order of mm/sec - compared to one mile, I expect it would take ages for the excess electrons from the end A to finally travel to reach end B. So the time to fully discharge such a capacitor should be a rather large figure.