A parallel plate air capacitor has a capacitance of 4.70 µF: Determine the new capacitance if: a.) The distance between the plates is doubled (everything else stays the same). b.) The area of the plates is duplicated (everything else remains the same except the 4.70 µF level). c.) A dielectric with a relative permittivity of 20 is inserted between the plates (everything else remains the same except the 4.70 µF level). d.) A dielectric with a relative permittivity of 4 is inserted, the area is reduced to 1/3, and the distance to 1/4 of its original dimensions.