How does potential difference relate to capacitance? Does capacitance depend on potential or work, or both?
Capacitance is defined to be : it’s the amount of charge you can dump on some object for a given potential. Potential is related to work: it’s the amount of work per charge it takes to achieve some particular configuration of charges. So you can think of capacitance in two ways: it’s inversely related to work needed to place a given charge on an object or, equivalently, it’s a quantity which tells you the amount of charge you can store for a given potential. An important point: capacitance is a property of an object. The amount of charge you can store for a given potential depends on the object’s geometry and material.
