Chap 8 Examples

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Approximately what is the maximum charge that can be accommodated on the surface of the metal sphere (with radius R = 0.1 m) of the van de Graaff generator? • Use Gauss’s Law, and set the electric field at the metal’s surface to be E = 3x10 6 V/m (breakdown electric field of air). • Permittivity of free space ε 0 = 8.85x10 -12 C/Vm PP 1 A16
Approximately what is the maximum charge that can be accommodated on the surface of the metal sphere (with radius R = 0.1 m) of the van de Graaff generator? • Use Gauss’s Law, and set the electric field at the metal’s surface to be E = 3x10 6 V/m (breakdown electric field of air). • Permittivity of free space ε 0 = 8.85x10 -12 C/Vm PP1 (SOLN) A15 order of magnitude estimate
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CAPACITANCES FOR SEVERAL GEOMETRIES B1.2 ▪
The two conductors a and b are insulated from each other, forming a capacitor. You increase the charge on a to +2 Q and increase the charge on b to –2 Q , while keeping the conductors in the same positions. As a result of this change, the capacitance C of the two conductors A. becomes 4 times great. B. becomes twice as great. C. remains the same. D. becomes 1/2 as great. E. becomes 1/4 as great. Poll 1 B6
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The two conductors a and b are insulated from each other, forming a capacitor. You increase the charge on a to +2 Q and increase the charge on b to –2 Q , while keeping the conductors in the same positions. As a result of this change, the capacitance C of the two conductors A. becomes 4 times great. B. becomes twice as great. C. remains the same. D. becomes 1/2 as great. E. becomes 1/4 as great. Poll 1 (soln) B7
PP 2 B10
PP2 (SOLN) ▪
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PP 3 C7
PP 3 (SOLN) C7
What can be done to increase the capacitance of a parallel-plate capacitor? A. Increase the surface area of the plates B. Decrease the separation between the plates C. Increase the voltage across the plates D. A and B E. A, B, and C Poll 2 B8
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What can be done to increase the capacitance of a parallel-plate capacitor? A. Increase the surface area of the plates B. Decrease the separation between the plates C. Increase the voltage across the plates D. A and B E. A, B, and C Capacitance depends only on geometric properties Poll 2 (soln) B9
Every minute, 120 C of charge flow through this cross section of the wire. The wire’s current is A. 240 A. B. 120 A. C. 60 A. D. 2 A. E. Some other value. PP 4 D12
Every minute, 120 C of charge flow through this cross section of the wire. The wire’s current is A. 240 A. B. 120 A. C. 60 A. D. 2 A. E. Some other value. PP4 (SOLN) D13
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The current density in this wire is A. 4 × 10 6 A/m 2 . B. 2 × 10 6 A/m 2 . C. 4 × 10 3 A/m 2 . D. 2 × 10 3 A/m 2 . E. Some other value. PP 5 D14
The current density in this wire is A. 4 × 10 6 A/m 2 . B. 2 × 10 6 A/m 2 . C. 4 × 10 3 A/m 2 . D. 2 × 10 3 A/m 2 . E. Some other value. PP 5 (SOLN) D15
The current through a wire is measured as the potential difference Δ V is varied. What is the wire’s resistance? A. 0.01 Ω. B. 0.02 Ω. C. 50 Ω. D. 100 Ω. E. Some other value. PP 6 E6
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The current through a wire is measured as the potential difference Δ V is varied. What is the wire’s resistance? A. 0.01 Ω. B. 0.02 Ω. C. 50 Ω. D. 100 Ω. E. Some other value. PP 6 (SOLN) E7
PP 7 ▪ E8
PP 7 (SOLNS) ▪ (a) E=0.0350V/m (b) V=1.75V (c) R=1.05 Ohm E8
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POLL 3 C8 C 1 = C 2 ; Initial energy in C1 is U, and C2 is zero. What is the final energy in the capacitors a long time after the switch is closed? A) U B) U/2 C) 2U D) can not tell
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POLL 3 C8 C 1 = C 2 ; Initial energy in C1 is U, and C2 is zero. What is the final energy in the capacitors a long time after the switch is closed? A) U B) U/2 C) 2U D) can not tell Where did the missing energy go????
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Three capacitors with values shown are connected with a 5V battery as shown. Rank the capacitors by the magnitude of the charge stored on them, from largest to smallest. PP 8
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Three capacitors with values shown are connected with a 5V battery as shown. Rank the capacitors by the magnitude of the charge stored on them, from largest to smallest. PP 8 (SOLNS)
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PP 9
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PP 9 (SOLN)
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Copper has 8.5x10 28 free electrons per cubic meter. A 0.50 meter length of 12- gauge copper wire, which has radius of 1.025mm carries 6.25A of current. How much time does it take for an electron to travel the length of the wire? PP 10
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Copper has 8.5x10 28 free electrons per cubic meter. A 0.50 meter length of 12- gauge copper wire, which has radius of 1.025mm carries 6.25A of current. How much time does it take for an electron to travel the length of the wire? PP 10 (SOLN)
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What is the equivalent capacitance of the following circuit? PP 11
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What is the equivalent capacitance of the following circuit? PP 11 (SOLN)
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PP 12 What is the equivalent capacitance of the following circuit in units of C, the capacitance when there is no dielectric between the two parallel plates. In the left capacitor a dielectric (K=2) exactly fills the right half of the capacitor. In the right capacitor, the dielectric covers the area of the plates but only half the spacing between the plates.
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PP 12 (SOLN) What is the equivalent capacitance of the following circuit in units of C, the capacitance when there is no dielectric between the two parallel plates. In the left capacitor a dielectric (K=2) exactly fills the right half of the capacitor. In the right capacitor, the dielectric covers the area of the plates but only half the spacing between the plates.
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PP 13
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PP 13 (SOLN)
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