Below is the question (its a True and False question). Ashort explanation as to

Question

Below is the question (its a True and False question). Ashort explanation as to why the answer is what it is would behelpful. I will rate!
A parallel plate capacitor with plate separation d isconnected to a battery. The capacitor is fully charged to QCoulombs and a voltage of V. (C is the capacitance and U is thestored energy.) Answer the following questions regarding thecapacitor charged by a battery. For each statement below, selectTrue or False.

TrueFalse With the capacitor connected to the battery, inserting adielectric with k will decrease C.
TrueFalse With the capacitor connected to the battery, inserting adielectric with k will decrease U.
TrueFalse After being disconnected from the battery, decreasing dincreases C.
TrueFalse After being disconnected from the battery, increasing dincreases U.
TrueFalse After being disconnected from the battery, increasing ddecreases V.
TrueFalse After being disconnected from the battery, inserting adielectric with k will decrease V.

Below is the question (its a True and False question). Ashort explanation as to why the answer is what it is would behelpful. I will rate!
A parallel plate capacitor with plate separation d isconnected to a battery. The capacitor is fully charged to QCoulombs and a voltage of V. (C is the capacitance and U is thestored energy.) Answer the following questions regarding thecapacitor charged by a battery. For each statement below, selectTrue or False.

TrueFalse With the capacitor connected to the battery, inserting adielectric with k will decrease C.
TrueFalse With the capacitor connected to the battery, inserting adielectric with k will decrease U.
TrueFalse After being disconnected from the battery, decreasing dincreases C.
TrueFalse After being disconnected from the battery, increasing dincreases U.
TrueFalse After being disconnected from the battery, increasing ddecreases V.
TrueFalse After being disconnected from the battery, inserting adielectric with k will decrease V.

Explanation / Answer

With the capacitor connected to the battery, inserting adielectric with k will decrease C. [False]
Since by insertion of dielectron capacittance increses to Ktimes where  k = dielectric constant With the capacitor connected to the battery, inserting adielectric with k will decrease U. [false] U increases to k times After being disconnected from the battery, decreasing dincreases C. [ true ] After being disconnected from the battery, increasing dincreases U. [ true]
After being disconnected from the battery, increasing d decreasesV. [ false]
After being disconnected from the battery, inserting a dielectricwith k will decrease V [ true ] decreases to V / k

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