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© 2012 Pearson Education, Inc. { Chapter 24 Capacitance

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© 2012 Pearson Education, Inc. A 12- F capacitor and a 6- F capacitor are connected together as shown. What is the equivalent capacitance of the two capacitors as a unit? A. C eq = 18 F B. C eq = 9 F C. C eq = 6 F D. C eq = 4 F E. C eq = 2 F Q24.3 a b 12 F 6 F

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© 2012 Pearson Education, Inc. A 12- F capacitor and a 6- F capacitor are connected together as shown. What is the equivalent capacitance of the two capacitors as a unit? A. C eq = 18 F B. C eq = 9 F C. C eq = 6 F D. C eq = 4 F E. C eq = 2 F A24.3 a b 12 F 6 F

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© 2012 Pearson Education, Inc. A 12- F capacitor and a 6- F capacitor are connected together as shown. If the charge on the 12- F capacitor is 24 microcoulombs (24 C), what is the charge on the 6- F capacitor? A. 48 C B. 36 C C. 24 C D. 12 C E. 6 C Q24.4 a b 12 F 6 F

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© 2012 Pearson Education, Inc. A 12- F capacitor and a 6- F capacitor are connected together as shown. If the charge on the 12- F capacitor is 24 microcoulombs (24 C), what is the charge on the 6- F capacitor? A. 48 C B. 36 C C. 24 C D. 12 C E. 6 C A24.4 a b 12 F 6 F

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© 2012 Pearson Education, Inc. A 12- F capacitor and a 6- F capacitor are connected together as shown. What is the equivalent capacitance of the two capacitors as a unit? A. C eq = 18 F B. C eq = 9 F C. C eq = 6 F D. C eq = 4 F E. C eq = 2 F Q24.5 a b 12 F6 F

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© 2012 Pearson Education, Inc. A 12- F capacitor and a 6- F capacitor are connected together as shown. What is the equivalent capacitance of the two capacitors as a unit? A. C eq = 18 F B. C eq = 9 F C. C eq = 6 F D. C eq = 4 F E. C eq = 2 F A24.5 a b 12 F6 F

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© 2012 Pearson Education, Inc. A. 48 C B. 36 C C. 24 C D. 12 C E. 6 C Q24.6 a b 12 F6 F A 12- F capacitor and a 6- F capacitor are connected together as shown. If the charge on the 12- F capacitor is 24 microcoulombs (24 C), what is the charge on the 6- F capacitor?

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© 2012 Pearson Education, Inc. A. 48 C B. 36 C C. 24 C D. 12 C E. 6 C A24.6 a b 12 F6 F A 12- F capacitor and a 6- F capacitor are connected together as shown. If the charge on the 12- F capacitor is 24 microcoulombs (24 C), what is the charge on the 6- F capacitor?

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© 2012 Pearson Education, Inc. Q24.7 A. becomes 4 times greater. B. becomes twice as great. C. remains the same. D. becomes 1/2 as great. E. becomes 1/4 as great. You reposition the two plates of a capacitor so that the capacitance doubles. There is vacuum between the plates. If the charges +Q and –Q on the two plates are kept constant in this process, the energy stored in the capacitor

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© 2012 Pearson Education, Inc. You reposition the two plates of a capacitor so that the capacitance doubles. There is vacuum between the plates. If the charges +Q and –Q on the two plates are kept constant in this process, the energy stored in the capacitor A. becomes 4 times greater. B. becomes twice as great. C. remains the same. D. becomes 1/2 as great. E. becomes 1/4 as great. A24.7

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the charges on the plates remain constant. What effect does adding the dielectric have on the potential difference between the capacitor plates? A. The potential difference increases. B. The potential difference remains the same. C. The potential difference decreases. D. not enough information given to decide Q24.8

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the charges on the plates remain constant. What effect does adding the dielectric have on the potential difference between the capacitor plates? A. The potential difference increases. B. The potential difference remains the same. C. The potential difference decreases. D. not enough information given to decide A24.8

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the charges on the plates remain constant. What effect does adding the dielectric have on the energy stored in the capacitor? A. The stored energy increases. B. The stored energy remains the same. C. The stored energy decreases. D. not enough information given to decide Q24.9

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the charges on the plates remain constant. What effect does adding the dielectric have on the energy stored in the capacitor? A. The stored energy increases. B. The stored energy remains the same. C. The stored energy decreases. D. not enough information given to decide A24.9

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the potential difference between the plates remains constant. What effect does adding the dielectric have on the amount of charge on each of the capacitor plates? A. The amount of charge increases. B. The amount of charge remains the same. C. The amount of charge decreases. D. not enough information given to decide Q24.10

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the potential difference between the plates remains constant. What effect does adding the dielectric have on the amount of charge on each of the capacitor plates? A. The amount of charge increases. B. The amount of charge remains the same. C. The amount of charge decreases. D. not enough information given to decide A24.10

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the potential difference between the plates remains constant. What effect does adding the dielectric have on the energy stored in the capacitor? A. The stored energy increases. B. The stored energy remains the same. C. The stored energy decreases. D. not enough information given to decide Q24.11

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© 2012 Pearson Education, Inc. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the potential difference between the plates remains constant. What effect does adding the dielectric have on the energy stored in the capacitor? A. The stored energy increases. B. The stored energy remains the same. C. The stored energy decreases. D. not enough information given to decide A24.11

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© 2012 Pearson Education, Inc. Molecular model of induced charge - I Figures (right) and (below) show the effect of an applied electric field on polar and nonpolar molecules. Figures (right) and (below) show the effect of an applied electric field on polar and nonpolar molecules.

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© 2012 Pearson Education, Inc. Molecular model of induced charge - II Figure below shows polarization of the dielectric and how the induced charges reduce the magnitude of the resultant electric field. Figure below shows polarization of the dielectric and how the induced charges reduce the magnitude of the resultant electric field.

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© 2012 Pearson Education, Inc. Some dielectric constants

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© 2012 Pearson Education, Inc. Dielectric breakdown If the electric field is strong enough, dielectric breakdown occurs and the dielectric becomes a conductor. If the electric field is strong enough, dielectric breakdown occurs and the dielectric becomes a conductor. The dielectric strength is the maximum electric field the material can withstand before breakdown occurs. The dielectric strength is the maximum electric field the material can withstand before breakdown occurs. Table 24.2 shows the dielectric strength of some insulators. Table 24.2 shows the dielectric strength of some insulators.

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© 2012 Pearson Education, Inc. Dielectrics - Summary A dielectric is a nonconducting material. Most capacitors have dielectric between their plates. (See Figure at upper right.) A dielectric is a nonconducting material. Most capacitors have dielectric between their plates. (See Figure at upper right.) The dielectric constant of the material is K = C/C 0 > 1. The dielectric constant of the material is K = C/C 0 > 1. Dielectric increases the capacitance and the energy density by a factor K. Dielectric increases the capacitance and the energy density by a factor K. Figure (lower right) shows how the dielectric affects the electric field between the plates. Figure (lower right) shows how the dielectric affects the electric field between the plates.

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