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2. You are an engineer trying to design a capacitor. You have a parallel-plate capacitor made...

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Physics

2. You are an engineer trying to design a capacitor. You have aparallel-plate capacitor made of two circular metal plates. Theradius of each plate is 1 m and they are separated by a distance of0.1 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 tomake this capacitor have a capacitance of 1.0 μF. You only haveparaffin (K=2.2) and glass (K=5) to work with to insert in betweenthe two plates. (a) If you filled the space in between thecapacitor plates with paraffin, how much would you have to changethe separation between the plates to get the desired 1.0 μF? (b) Ifyou had to keep the dimensions of the capacitor the same and had tofill the space in between the capacitor with material, whatfraction of the space in between would you have to fill withparaffin and what fraction would you fill with glass?

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