Question

The capacitance $C$ of a capacitor is

• A. Independent of charge and potential of the capacitor
• B. Dependent on the charge and independent of potential
• C. Independent of a geometrical configuration of the capacitor
• D. Independent of the dielectric medium between the two conducting surfaces of the capacitor

Answer 1

Answer: (A)

$\text{Capacitance}$

By definition, Charge$\left(Q\right)$ acquired by the plates of a capacitor is proportional to the potential difference $\left(V\right)$ applied to it.

i.e. $Q\propto V$

$\Rightarrow Q=CV$,

Where C is the constant of proportionality called capacitance of the capacitor.

The capacitance$\left(C\right)$ of a capacitor depends on its geometrical configuration(i.e. size and shape) of the capacitor and on the dielectric medium inside it.

e,g, Capacitance of a parallel plated capacitor, $C=\frac{K{ϵ}_{0}A}{d}$

Therefore, On changing Potential difference, the charge on the capacitor changes proportionately and vice versa. But capacitance does not change, as it is the constant of proportionality.

Hence Correct answer is Option $A$