The capacitance of a parallel plate capacitor is proportional to the overlapping area of the plates and the permittivity of the dielectric between the plates. It is also inversely proportional to the distance between the plates. This video provides an explanation and hopefully an intuitive sense as to why this is the case.

A lot of time is spent on explaining permittivity and how it affects capacitance because it is not as easy to understand as the area and distance between plates

00:00 Introduction
00:28 Parallel plate capacitor equation
00:53 Plate Area
02:17 Distance between plates
04:02 Permittivity
07:49 Vacuum permittivity
08:17 Relative permittivity
09:42 Example calculation 1
11:04 Example calculation 2
12:44 Boo!

www.electronx.ca

Intro Audio Credit:
Richard Feynman

Outro Song Credit:
Music from Uppbeat (free for Creators!):
https://uppbeat.io/t/mountaineer/voyager
License code: YNTAUKIPESG5XXKJ

Capacitor in Thumbnail: Papa November, CC BY-SA 3.0, via Wikimedia Commons