A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False.

1) After being disconnected from the battery, increasing d increases U.
2) With the capacitor connected to the battery, inserting a dielectric with κ will decrease C.
3) After being disconnected from the battery, increasing d decreases V.
4) After being disconnected from the battery, inserting a dielectric with κ  will increase V.
5) After being disconnected from the battery, decreasing d increases C.
6) After being disconnected from the battery, inserting a dielectric with κ  will decrease U.