Question

On what factors does the capacitance of a parallel plate capacitors depend $?$

• A. Potential difference across the plates
• B. Charge on the plates
• C. Area of the plates
• D. Both $a$ and $b$ are correct

Answer 1

The correct option is C Area of the plates

The capacitance of a parallel plate capacitor is given by the formula $$C=\frac{{\epsilon }_{0}A}{d}$$ Where,
$A$ is the area of each plate,
$d$ is the distance between the plates and
${\epsilon }_0$ is the permittivity of the space between the plates.

So, the capacitance of any parallel plate capacitor depends on the shape, size, geometrical placement of the conductors, and the medium between them.

It does not depend on the potential difference applied across the plates or the charge present on the plates.

Hence, option (c) is the correct answer.

Key Concept: Factors influencing the capacitance of any capacitor are the shape, size, geometrical placing of the conductors, and the medium between them.