Question Details

The capacitance of the capacitor is independent of

Options

A

The size of the plates

B

The charges present on the plate

C

The distance of separation between the plates

D

The shape of the plates

Correct Answer :

The size of the plates

Solution :

The correct option is The size of the plates.

Capacitance is defined as the ratio of the electric charge stored on the conductors to the potential difference between them. Mathematically, it is expressed as:
C = Q V
where C is the capacitance, Q is the charge on the plates, and V is the potential difference.

The electric field and the corresponding potential difference depend heavily on the geometric configuration, such as the shape of the plates, the distance separating them, and the distribution of charges on the plates. When these parameters (shape, separation distance, and charge distribution) are fixed or scale proportionally, the fundamental capacity to hold charge relative to the potential difference remains governed by them, making the capacitance independent of the absolute physical size of the plates in this context.

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