Question: Consider a parallel-plate capacitor that is partially filled with a dielectric of dielectric constant K. The dielectric has the same same height as the separation of the plates of the capacitor but fills a fraction f of the area of the capacitor. The capacitance of the capacitor when the dielectric is completely removed is C0. What is the capacitance C(f) of this capacitor as a function of f? Express C(f) in terms of C0, f, and K.
