Dry air is a pretty decent insulator; it has a very high resistivity of 3×10^13Ω⋅m . Consider a capacitor that has square plates 15 cm on a side, separated by 0.8 mm of dry air. The capacitor is charged such that it has a potential of 320 V between the plates. 1. First, what is the resistance of the volume of air between the plates in GΩ (to 3 significant digits)? 2. What is the capacitance of this capacitor (in pF to 3 significant digits)? 3. How much charge is stored on the plates of this capacitor when fully charged (in nC to 2 significant digits)?

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Dry air is a pretty decent insulator; it has a very high resistivity of 3×10^13Ω⋅m . Consider a capacitor that has square plates 15 cm on a side, separated by 0.8 mm of dry air.  The capacitor is charged such that it has a potential of 320 V between the plates.  

1. First, what is the resistance of the volume of air between the plates in GΩ (to 3 significant digits)?

2. What is the capacitance of this capacitor (in pF to 3 significant digits)?

3. How much charge is stored on the plates of this capacitor when fully charged (in nC to 2 significant digits)?

4. How much energy does this capacitor store when fully charged (in μJ with 2 significant digits)?

5. Assuming the voltage on the plates is held fixed, what fraction of the total energy stored in the capacitor is dissipated via conduction through air between the plates in 1 minute? (precision 0.01)

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