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.