Correct Answer - Option 3 : Bigger plate area and shorter distance between the plates
The correct answer is option 3) i.e. Bigger plate area and shorter distance between the plates
CONCEPT:
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Capacitor: A capacitor is an electrical component with two terminals used to store charge in the form of an electrostatic field in it.
- It consists of two parallel plates each possessing equal and opposite charges, separated by a dielectric constant.
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Capacitance is the ability of a capacitor to store charge in it. The capacitance C is related to the charge Q and voltage V across them as:
C = \(\frac{Q}{V}\)
Capacitance is also given by:
C = \(\frac{kAϵ_0}{d}\)
Where A is the area of the parallel plate, d is the distance between parallel plates, ϵ0 is the permittivity and k is the dielectric constant.
EXPLANATION:
Capacitance, \(C \propto \frac{A}{d}\)
- So, the capacitance is directly proportional to the area of the parallel plates. Thus, C increases with plate area.
- Capacitance is inversely proportional to the distance between the plates. Thus, C increases with a decrease in the distance between the plate area.
Hence, the capacitance between two parallel plates increases when there are a bigger plate area and a shorter distance between the plates.
