Why it behaves this way
Explanation
Capacitance tells you how much charge a capacitor stores for each volt across it. This bench keeps one battery attached to one bounded pair of parallel plates so geometry, stored charge, field strength, and stored electric energy stay tied to the same setup.
The capacitor story stays geometric first. Plate area and plate separation set the capacitance, then the battery voltage determines how much charge builds on the plates and how much electric energy is stored in the field between them.