A parallel-plate capacitor with constant plate separation and area is initially filled with air. Its plates are charged to a certain amount by a battery, and then the capacitor is removed from the battery.
(a)If the capacitor is then filled with a dielectric with dielectric constant κ = 2, what happens to the charge amount on the capacitor's plates?
(b)With the addition of the dielectric, what happens to the capacitance of the capacitor?
(c)When the dielectric is inserted between the capacitor's plates, how does the potential difference between the plates change?