An electronics engineer is designing a sub-miniature parallel-plate capacitor for an integrated circuit. They are evaluating four candidate dielectric thin-films to insert between two identical conductive plates of fixed area.
Which combination of relative permittivity and film thickness results in the lowest capacitance?
Relative permittivity: 3.53.53.5, Film thickness: 0.50 μm0.50\ \mu\text{m}0.50 μm
Relative permittivity: 4.84.84.8, Film thickness: 1.2 μm1.2\ \mu\text{m}1.2 μm
Relative permittivity: 7.57.57.5, Film thickness: 2.5 μm2.5\ \mu\text{m}2.5 μm
Relative permittivity: 9.09.09.0, Film thickness: 2.0 μm2.0\ \mu\text{m}2.0 μm