A parallel-plate capacitor with vacuum between its horizontal plates has a capacitance of 27.0 F. A nonconducting liquid with dielectric constant 6.80 is poured into the space between the plates, filling up a fraction f of its volume. (a) Find the new capacitance as a function of f. (C, is in F. Use any variable or symbol stated above as necessary.) C = Cf (b) What should you expect the capacitance to be when f = 0? 27 UF Does your expression from part (a) agree with your answer? O Yes O No (c) What capacitance should you expect when f = 1? 183.6 HF Does the expression from part (a) agree with your answer? Yes O No