Final answer:
No, the capacitance of a capacitor is a fixed value determined by its physical characteristics, not by the amount of charge or potential difference between its plates. It is the potential to store charge, measured in farads.
Step-by-step explanation:
The capacitance of a capacitor does not depend on the amount of charge and potential difference across its plates. The formula C = Q/V may imply that capacitance depends on the charge (Q) and the voltage (V), but it is actually a constant for a given capacitor. The capacitance is determined by the physical characteristics of the capacitor, such as its geometry, and the properties of the insulating material (dielectric) between its plates.
For a parallel-plate capacitor with no dielectric material, the capacitance is calculated based on the area of the plates, the distance between them, and the permittivity of free space. However, when voltage is applied to a capacitor, the charge stored is proportional to the capacitance and the applied voltage, as described by the equation Q = CV. This equation shows that for a given capacitor, if you increase the voltage, the amount of charge stored increases proportionally, and vice versa.