A parallel plate capacitor has an adjustable plate separation d and an adjustable area A. It is connected to a battery and fully charged to charge Q and voltage V. Which of the following will be true?
(Select all that apply.)
i. If we keep the capacitor connected to the battery, adding a dielectric κ increases the Q.
ii. If we keep the capacitor connected to the battery, decreasing A will increase the stored energy U.
iii. If the capacitor is disconnected from the battery, decreasing d increases Q.
iv. If the capacitor is disconnected from the battery, increasing d decreases the stored energy U.
v. Increasing A will always increase C, regardless of whether or not the capacitor remains connected to the battery.