Capacitance of a plate capacitor increases

[galipop]

How can I show that the capacitance of a plate capacitor increases if a dielectric material fills the space between the plates?

 

[MaximumTaco]

C = \varepsilon \frac{A}{d}<br />

The permittivity is what you're interested in. A dielectric material has a higher permittivity than \varepsilon_0, the permittivity of free space.