Question

The capacitance of a capacitor with charge q and a potential difference V depends on :

• A. both q and V
• B. the geometry of the capacitor
• C. q only
• D. V only

Answer 1

Answer: (B)

the geometry of the capacitor

Answer 2

Capacitance (C) is defined as the ratio of charge (q) to potential difference (V):

$C = \frac{q}{V}$

However, capacitance is primarily determined by the geometry of the capacitor (plate area, separation between plates, dielectric material). The charge (q) and potential difference (V) are related to the capacitance but do not determine it. A capacitor with a specific geometry will have a fixed capacitance.