A capacitor of 2.2 μF is charged to 88 μC and then positioned in series having a 6.4 MΩ resistor and an open switch. At time t = 0, the switch is closed and the capacitor begins to discharge. Determine the initial voltage across the capacitor, the initial current in the circuit, the time constant of circuit and what the current in the circuit is after 5.0 s, after the 5.0 s determine the charge on the capacitor, the voltage across the resistor, and how long till the capacitor has discharged to half of the maximum value. Show work.