Student Workbook for College Physics: A Strategic Approach Volume 2 (Chs. 17-30)
3rd Edition
ISBN: 9780321908872
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 22, Problem 47GP
Air isn’t a perfect electric insulator, but it has a very high resistivity. Dry air has a resistivity of approximately 3 × 1013 Ω · m. A capacitor has square plates 10 cm on a side separated by 1.2 mm of dry air. If the capacitor is charged to 250 V, what fraction of the charge will flow across the air gap in 1 minute? Make the approximation that the potential difference doesn’t change as the charge flows.
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Air isn’t a perfect electric insulator, but it has a very high resistivity. Dry air has a resistivity of approximately 3 x 1013 Ω • m. A capacitor has square plates 10 cm on a side separated by 1.2 mm of dry air. If the capacitor is charged to 250 V, what fraction of the charge will flow across the air gap in 1 minute? Make the approximation that the potential difference doesn’t change as the charge flows.
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)
A copper (resistivity = 1.72 EXP-8 Ω.m) conductor with a square cross section, 1.0 mm on a side is 100 m long and is initially 20oC.
1. If the temperature coefficient (a) of copper is 0.00393 per degree Celsius, what is the change in resistance of the copper conductor if the temperature is increased to 100 degrees Celsius?
2. What is the resistance of this conductor?
Chapter 22 Solutions
Student Workbook for College Physics: A Strategic Approach Volume 2 (Chs. 17-30)
Ch. 22 - What causes electrons to move through a wire as a...Ch. 22 - All wires in Figure Q22.519 are made of the same...Ch. 22 - A wire carries a 4 A current. What is the current...Ch. 22 - Prob. 7CQCh. 22 - Cells in the nervous system have a potential...Ch. 22 - a. Which directionclockwise or...Ch. 22 - Prob. 10CQCh. 22 - The wires in Figure Q22.11 are all made of the...Ch. 22 - The two circuits in Figure Q22.12 use identical...Ch. 22 - The two circuits in Figure Q22.13 use identical...
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