Two parallel conducting plates separated by a distance are connected to a battery with voltage . If the distance between them is doubled and the battery stays connected, which of the following statements are correct?

A dielectric is put between the plates of an isolated charged parallel plate capacitor. Which of the following statements is true?

Capacitances are as follows:

What is the total capacitance of the system in the diagram above?

Suppose I have a uniform electric field within a parallel plate capacitor.

Suppose the capacitor's plates are in length and in width, and the space between the plates is .

Given that the capacitance is , at what voltage difference is required for the capacitor to store of charge?

Fill in the blanks.

Dielectrics __________ capacitance because capacitance is __________ related to electric field strength, and dielectrics __________ effective electric field strength.

Capacitances are as follows:

Consider the diagram above. If the battery has a potential difference of , what is the total energy of the system once it's fully charged?