1. i. What is the purpose of a parallel plate capacitor? ii. A parallel plate capacitor has two square plates of side length L, and the plates are separated by distance d. How would the capacitance change if the side length of the plates tripled? iii. How would the capacitance of the above capacitor change if the separation distance between the plates tripled? iv. If I insert a dielectric material of dielectric constant >1 between the plates of the capacitor (there was only air there before), does the capacitance increase, decrease, or stay the same?