Answers to Quick Quizzes, Odd-Numbered Conceptual Questions and Problems A.195. 1.7 10 6 N/C7. (a) 1.13 10 5 N/C (b) 1.80 10 14 N(c) 4.38 10 17 J9. (a) 0.500 m (b) 0.250 m11. (a) 1.44 10 7 V (b) 7.19 10 8 V13. (a) 2.67 10 6 V (b) 2.13 10 6 V15. (a) 103 V (b) 3.85 10 7 J; positive work must be doneto separate the charges.17. 11.0 kV19. 2.74 10 14 m21. 0.719 m, 1.44 m, 2.88 m. No. The equipotentials are notuniformly spaced. Instead, the radius of an equipotenial isinversely proportional to the potential.23. (a) 1.1 10 8 F (b) 27 C25. (a) 11.1 kV/m toward the negative plate (b) 3.74 pF(c) 74.7 pC and 74.7 pC27. (a) 90.4 V (b) 9.04 10 4 V/m29. (a) 13.3 C on each (b) 20.0 C, 40.0 C31. (a) 2.00 F (b) Q 3 24.0 C, Q 4 16.0 C,Q 2 8.00 C, (V ) 2 (V ) 4 4.00 V, (V ) 3 8.00 V33. (a) 5.96 F (b) Q 20 89.5 C, Q 6 63.2 C,Q 3 Q 15 26.3 C35. Q 1 16.0 C, Q 5 80.0 C, Q 8 64.0 C,Q 4 32.0 C37. (a) Q 25 1.25 mC, Q 40 2.00 mC (b) Q 25 288 C,Q 40 462 C, V 11.5 V39. Q 1 3.33 C, Q 2 6.67 C41. 83.6 C43. 2.55 10 11 J45. 3.2 10 10 J47. 4.049. (a) 8.13 nF (b) 2.40 kV51. (a) volume 9.09 10 16 m 3 , area 4.54 10 10 m 2(b) 2.01 10 13 F (c) 2.01 10 14 C,1.26 10 5 electronic charges55. 4.29 F57. 6.25 F59. 4.47 kV61. 0.75 mC on C 1 , 0.25 mC on C 265. 50 NChapter 17QUICK QUIZZES1. (d)2. (b)3. (c), (d)4. (b)5. (b)6. (a)7. (b)8. (a)CONCEPTUAL QUESTIONS1. Charge. Because an ampere is a unit of current (1 A 1 C/s) and an hour is a unit of time (1 h 3 600 s), then1A h 3 600 C.3. The gravitational force pulling the electron to the bottomof a piece of metal is much smaller than the electrical repulsionpushing the electrons apart. Thus, free electronsstay distributed throughout the metal. The concept ofcharges residing on the surface of a metal is true for ametal with an excess charge. The number of free electronsin an electrically neutral piece of metal is the same as thenumber of positive ions—the metal has zero net charge.5. A voltage is not something that “surges through” a completedcircuit. A voltage is a potential difference that is appliedacross a device or a circuit. It would be more correctto say “1 ampere of electricity surged through the victim’sbody.” Although this amount of current would have disastrousresults on the human body, a value of 1 (ampere)doesn’t sound as exciting for a newspaper article as 10 000(volts). Another possibility is to write “10 000 volts of electricitywere applied across the victim’s body,” which stilldoesn’t sound quite as exciting.7. We would conclude that the conductor is nonohmic.9. The shape, dimensions, and the resistivity affect the resistanceof a conductor. Because temperature and impuritiesaffect the conductor’s resistivity, these factors also affectresistance.11. The radius of wire B is the square root of three times theradius of wire A. Therefore the cross-sectional area of Bthree times larger than that of A.13. The drift velocity might increase steadily as time goes on,because collisions between electrons and atoms in thewire would be essentially nonexistent and the conductionelectrons would move with constant acceleration. The currentwould rise steadily without bound also, because I isproportional to the drift velocity.15. Once the switch is closed, the line voltage is applied acrossthe bulb. As the voltage is applied across the cold filamentwhen it is first turned on, the resistance of the filament islow, the current is high, and a relatively large amount ofpower is delivered to the bulb. As the filament warms, itsresistance rises and the current decreases. As a result, thepower delivered to the bulb decreases. The large currentspike at the beginning of the bulb’s operation is the reasonthat lightbulbs often fail just after they are turned on.PROBLEMS1. 3.00 10 20 electrons move past in the direction oppositeto the current.3. 2.00 C5. 1.05 mA7. 27 yr9. (a) n is unaffected (b) v d is doubled11. 32 V is 200 times larger than 0.16 V13. 0.17 mm15. (a) 30 (b) 4.7 10 4 m17. silver ( 1.59 10 8 m)19. 256 21. 1.98 A23. 26 mA25. (a) 5.89 10 2 (b) 5.45 10 2 27. (a) 3.0 A (b) 2.9 A29. (a) 1.2 (b) 8.0 10 4 (a 0.080% increase)31. 5.00 A, 24.0 33. 18 bulbs35. 11.2 min37. 34.4 39. 1.6 cm41. 295 metric tons/h43. 26 cents45. 23 cents47. $1.2
A.20 Answers to Quick Quizzes, Odd-Numbered Conceptual Questions and Problems49. 1.1 km51. 1.47 10 6 m; differs by 2.0% from value inTable 17.153. (a) $3.06 (b) No. The circuit must be able to handle atleast 26 A.55. (a) 667 A (b) 50.0 km57. 3.77 10 28 /m 359. (a) 144 (b) 26 m (c) To fit the required length into asmall space. (d) 25 m61. 37 M63. 0.48 kg/s65. (a) 2.6 10 5 (b) 76 kg67. (a) 470 W (b) 1.60 mm or more (c) 2.93 mm or moreChapter 18QUICK QUIZZES1. (a), (d)2. (b)3. (a)4. Parallel : (a) unchanged (b) unchanged (c) increase(d) decrease5. Series: (a) decrease (b) decrease (c) decrease(d) increase6. (c)CONCEPTUAL QUESTIONS1. No. When a battery serves as a source and supplies currentto a circuit, the conventional current flows throughthe battery from the negative terminal to the positive one.However, when a source having a larger emf than thebattery is used to charge the battery, the conventionalcurrent is forced to flow through the battery from the positiveterminal to the negative one.3. The total amount of energy delivered by the battery willbe less than W. Recall that a battery can be considered anideal, resistanceless battery in series with the internal resistance.When the battery is being charged, the energydelivered to it includes the energy necessary to charge theideal battery, plus the energy that goes into raising thetemperature of the battery due to I 2 r heating in the internalresistance. This latter energy is not available duringdischarge of the battery, when part of the reduced availableenergy again transforms into internal energy in theinternal resistance, further reducing the available energybelow W.5. The starter in the automobile draws a relatively large currentfrom the battery. This large current causes a significantvoltage drop across the internal resistance of the battery.As a result, the terminal voltage of the battery isreduced, and the headlights dim accordingly.7. An electrical appliance has a given resistance. Thus, whenit is attached to a power source with a known potential difference,a definite current will be drawn, and the devicecan therefore be labeled with both the voltage and thecurrent. Batteries, however, can be applied to a number ofdevices. Each device will have a different resistance, so thecurrent will vary with the device. As a result, only the voltageof the battery can be specified.9. Connecting batteries in parallel does not increase theemf. A high-current device connected to two batteriesin parallel can draw currents from both batteries. Thus,connecting the batteries in parallel increases the possiblecurrent output and, therefore, the possible power output.11. The lightbulb will glow for a very short while as the capacitoris being charged. Once the capacitor is almost totallycharged, the current in the circuit will be nearly zero andthe bulb will not glow.13. The bird is resting on a wire of fixed potential. In order tobe electrocuted, a large potential difference is requiredbetween the bird’s feet. The potential difference betweenthe bird’s feet is too small to harm the bird.15. The junction rule is a statement of conservation ofcharge. It says that the amount of charge that enters ajunction in some time interval must equal the charge thatleaves the junction in that time interval. The loop rule is astatement of conservation of energy. It says that the increasesand decreases in potential around a closed loop ina circuit must add to zero.17. A few of the factors involved are as follows: the conductivityof the string (is it wet or dry?); how well you are insulatedfrom ground (are you wearing thick rubber- orleather-soled shoes?); the magnitude of the potential differencebetween you and the kite; and the type and conditionof the soil under your feet.19. She will not be electrocuted if she holds onto only onehigh-voltage wire, because she is not completing a circuit.There is no potential difference across her body as long asshe clings to only one wire. However, she should releasethe wire immediately once it breaks, because she will becomepart of a closed circuit when she reaches theground or comes into contact with another object.21. (a) The intensity of each lamp increases because lamp C isshort circuited and there is current (which increases) onlyin lamps A and B. (b) The intensity of lamp C goes to zerobecause the current in this branch goes to zero. (c) Thecurrent in the circuit increases because the total resistancedecreases from 3R (with the switch open) to 2R (after theswitch is closed). (d) The voltage drop across lamps A andB increases, while the voltage drop across lamp C becomeszero. (e) The power dissipated increases from 2 /3R (withthe switch open) to 2 /2R (after the switch is closed).23. The statement is false. The current in each bulb is thesame, because they are connected in series. The bulb thatglows brightest has the larger resistance and hence dissipatesmore powerPROBLEMS1. 4.92 3. 73.8 W. Your circuit diagram will consist of two 0.800-resistors in series with the 192- resistance of the bulb.5. (a) 17.1 (b) 1.99 A for 4.00 and 9.00 , 1.17 A for7.00 , 0.818 A for 10.0 7. 2.5R9. (a) 0.227 A (b) 5.68 V11. 55 13. 0.43 A15. (a) Connect two 50- resistors in parallel, and then connectthis combination in series with a 20- resistor.(b) Connect two 50- resistors in parallel, connect two20- resistors in parallel, and then connect these twocombinations in series with each other.17. 0.846 A downwards in the 8.00- resistor; 0.462 Adownwards in the middle branch; 1.31 A upwards in theright-hand branch
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Color-enhanced scanning electronmic
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876 Chapter 27 Quantum PhysicsSolve
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Summary 965Photo Researchers, Inc./
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