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.

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