Question

Capacitance depends on the
A) Charge on capacitor
B) Potential difference across capacitor
C) Dielectric constant of the substance
D) Area of plates

Answer 1

Hint:A capacitor is a device that stores electric energy in the form of an electric field. It consists of two plates that consist of a positive and negative charge. These plates are separated by an insulated material. This insulated material is known as dielectric.

Complete solution:
The capacitance of a capacitor is defined as the ability to store charge.
If a substance of dielectric constant K is filled between the plates of a capacitor, then its capacitance is given by
$C = \dfrac{{K{\varepsilon _0}A}}{d}$
Where A is the area of the plates
${\varepsilon _0}$is the absolute permittivity
$K$ is the dielectric constant
‘d’ is the separation between the plates
Since $C \propto K$ and $C \propto A$
The distance between the plates will be the same and absolute permittivity will also be constant so the capacitance of the capacitor depends on the dielectric constant of the substance separating the plates and the area of the plates.

Option C and D are the right options.

Note: It is to be noted that the dielectric is a substance that does not ionize due to the charge on the plates. Also it does not allow the charges to move from one plate to the other plate. It separates the plates and thus increases their capacitance. Moreover, the capacitance of a capacitor increases by inserting a dielectric. The strength of the electric field increases and the low voltage is enough for the charge. Due to the presence of dielectric, the risk of short circuit can be reduced which can otherwise happen due to a high voltage.