Physics

Physics

Problem

A parallel-plate capacitor has fixed plates, so its capacitance remains constant. If the magnitude of the charge stored on the plates is tripled, quantitatively describe how the potential difference across the plates changes.
Intuitive explanation

The key insight is that capacitance is a fixed property of the physical setup—it doesn't change when you alter the charge. Since C=Q/VC = Q/V is always true, if you triple the charge QQ while CC stays constant, the voltage VV must also triple to maintain that relationship. This is a direct proportionality: more charge means proportionally more voltage pushing against the fixed capacitance.

Intuitive explanation

The key insight is that capacitance is a fixed property of the physical setup—it doesn't change when you alter the charge. Since C=Q/VC = Q/V is always true, if you triple the charge QQ while CC stays constant, the voltage VV must also triple to maintain that relationship. This is a direct proportionality: more charge means proportionally more voltage pushing against the fixed capacitance.

Browse the problem library