Question

The capacitance $C$ of a capacitor is
A. Independent of the charge and potential of the capacitor
B. dependent on the charge and independent of potential
C. Independent of the geometrical configuration of the capacitor
D. Independent of the dielectric medium between the two conducting surfaces of the

Answer 1

Hint: To answer this question, we first need to understand what a capacitor is and on what factors it depends. Capacitance is influenced by three factors: the size of the conductors, the size of the distance between them, and the material used to connect them (the dielectric). The capacitance increases with the size of the conductors.

Complete answer:
Capacitance: The ratio of the amount of electric charge deposited on a conductor to the difference in electric potential is known as capacitance. Self capacitance and reciprocal capacitance are two closely related concepts of capacitance. Self capacitance is a property of any material that can be electrically charged.

As per formula capacitance is equal to $C = \dfrac{Q}{V}$ in terms of charge and potential.And also, capacitance is also equal to $C = \dfrac{{A \times { \in _0}}}{d}$ in terms of dielectric medium, area and distance between the two different plates of capacitor.Therefore, from the above formulas we came to know that the capacitance is dependent on charge, voltage, dielectric medium and distance between them.So, we came to a conclusion that the capacitance is independent of the geometrical configuration of the capacitor.

Hence, the correct answer is option C.

Note: Always keep in mind that the capacitance depends on the area of the conductor plates but doesn’t on the geometrical configuration as the same amount of area can be obtained in both circular and square plate or in any other shape.