Suppose a parallel plate capacitor (with capacitance C) is fully charged (to a value Q.) by a battery. The battery (which supplies a potential difference of V) stays connected to the capacitor. If the plates of the capacitor are then moved closer together (the separation distance d between the plates is halved), describe quantitatively what happens to:. a) the capacitance of the capacitor.
b) the potential difference between the plates.
c) the energy stored in the capacitor.
d) the charge on the plates.