An air-filled parallel plate capacitor with capacitance C stores charge Q separated by distance d. The potential difference across the plates is V. If the space between the plates is filled with a dielectric material of dielectric constant ,
(a) what is the ratio of the new capacitance to the old capacitance?
(b) What is the ratio of the new potential across the plates to the old potential?
(c) What is the ratio of the energy stored in the capacitor after inserting the dielectric material to the energy stored in the capacitor before the dielectric is filled?