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)?
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
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