A 12F capacitor is connected by a switch to a 100 volt DC supply via a 20 resistor. Assume the capacitor is initially uncharged. Calculate:a. The TIME constantb. The INITIAL current at the moment of closing the switchc. The TIME for the current to fall to 3 ampsd. The TIME for the voltage of the fully charged capacitor to fall to 70 volts. (The capacitor is discharged through a 20 resistor)e. Sketch the growth of voltage across the capacitor against time