In: Physics
2. You are an engineer trying to design a capacitor. You have a parallel-plate capacitor made of two circular metal plates. The radius of each plate is 1 m and they are separated by a distance of 0.1 mm. If the space in between the plates was filled with vacuum, the capacitor would have a capacitance of 0.278 μF but you want to make this capacitor have a capacitance of 1.0 μF. You only have paraffin (K=2.2) and glass (K=5) to work with to insert in between the two plates. (a) If you filled the space in between the capacitor plates with paraffin, how much would you have to change the separation between the plates to get the desired 1.0 μF? (b) If you had to keep the dimensions of the capacitor the same and had to fill the space in between the capacitor with material, what fraction of the space in between would you have to fill with paraffin and what fraction would you fill with glass?