A parallel plate capacitor is constructed from two square conducting plates of length L = 0.10 m on a side. There is air between the plates, which are separated by a distance d = 89 μm. The capacitor is connected to a 10.0 V battery. 

(a) After the capacitor is fully charged, what is the charge on the upper plate? 

(b) The battery is disconnected from the plates, and the capacitor is discharged through a resistor R = 0.100 MΩ. Sketch the current through the resistor as a function of time t(t = 0 corresponds to the time when R is connected to the capacitor). 

(c) How much energy is dissipated in R over the whole discharging process?