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)? A: 1070 2. What is the capacitance of this capacitor (in pF to 3 significant digits)? A: 248 3. How much charge is stored on the plates of this capacitor when fully charged (in nC to 2 significant digits)? A: 80 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) Please only solve Q4 and Q5

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 34P: Two 1.50-V batterieswith their positive terminals in the same directionare inserted in series into a...
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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)?

A: 1070

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

A: 248

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

A: 80

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)

Please only solve Q4 and Q5

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