Exam 1 review

Name___________________________________

TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false.

1) Electric charge is quantized. TRUE 1)

2) A positive charge placed in an electric field experiences a force in the direction of the field. TRUE 2)

3) Negative charges, when released, accelerate toward regions of lower electric potential. False 3)

4) The capacitance of a parallel plate capacitor is directly proportional to its plate separation. False 4)

5) A capacitor, in addition to storing charge, also stores electrical energy. True 5)

6) The Coulomb force between two charges can be attractive or repulsive. True 6)

7) The electromotive force of a battery is the maximum potential difference between the terminals ofthe battery. True

7)

8) The resistivity of the material of a wire is inversely proportional to the resistance of the wire. False 8)

9) When resistors are connected in parallel to a source of emf, the current through each resistor is thesame. False

9)

10) Every point on an equipotential surface is at the same potential. True 10)

11) Kirchhoff's voltage rule is an example of conservation of energy. True 11)

12) Unlike electric potential, the electric potential energy is a vector quantity. False 12)

13) Four unequal resistors connected in series have same current but different voltages. True 13)

14) Capacitors in series share the same charge and capacitors in parallel share the same voltage. True 14)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

15) When an electron is removed from a neutral atom, it becomes 15)A) a negative ion.B) more massive.C) a positive ion.XXXD) heavier.E) a bipolar atom.

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16) Two charged objects attract each other with a certain force. If the charges on both objects aredoubled with no change in separation, the force between them

16)

A) halves.B) increases, but we can't say how much without knowing the distance between them.C) quadruples.XXXD) doubles.E) becomes zero.

17) When atom A loses an electron to atom B, 17)A) atom A becomes a negative ion and atom B becomes a positive ion.B) atom A becomes more negative than atom B.C) atom A acquires more neutrons than atom B.D) atom A acquires less neutrons than atom B.E) atom A becomes a positive ion and atom B becomes a negative ion.XXX

FIGURE 19-6

18) Four point charges of varying magnitude and sign are arranged on the corners of the square of sided as shown in Figure 19-6. Which of the arrows shown represents the net force acting on the pointcharge with a charge +Q?

18)

A) AXXXB) BC) CD) DE) none of the above

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FIGURE 19-9

19) Three equal point charges are placed at three of the corners of a square of side d as shown in Figure19-9. Which of the arrows shown represents the direction of the net electric field at the center of thesquare?

19)

A) AB) BC) CXXXD) DE) none of the above

20) When the magnitude of both interacting charges is increased by a factor of 2, the electrical forcesbetween these charges is

20)

A) quadrupled.XXXB) reduced by a factor of 3.C) doubled.D) reduced by a factor of 4.E) reduced by a factor of 2.

21) A point charge of +Q is placed at the centroid of an equilateral triangle, as shown in Figure 15-1.When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 4 Nacts on it.

Figure 15-1

What is the magnitude of the force that acts on the center charge when a third charge of +Q isplaced at one of the other vertices?

21)

A) 8 N B) 4 NXXX C) zero D) 16 N

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Figure 15-5

22) Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussiansurfaces have no electric flux through them?

22)

A) a. B) b. C) b and d. D) c.XXX E) b and c.

23) The statement that "the number of field lines passing through a surface is proportional to the netcharge enclosed" is known as

23)

A) Coulomb's Law.B) Gauss's Law.XXXC) The Law of Enclosure.D) Faraday's Law.E) Franklin's Law.

24) Three point charges are located at the following positions: Q1 = 2.00 µC at x = 1.00 m; Q2 = 3.00 µCat x = 0; Q3 = -5.00 µC at x = -1.00 m. What is the magnitude of the force on the 3.00-µC charge?

24)

A) 0.135 NB) 8.10 × 10-2 NC) 0.158 ND) 5.40 × 10-2 NE) 0.189 NXXX

25) A proton is placed in an electric field of intensity 700 N/C. What is the magnitude and direction ofthe acceleration of this proton due to this field?

25)

A) 67.1 × 1010 m/s2 in the direction of the electric fieldB) 6.71 × 1010 m/s2 opposite to the electric fieldC) 6.71 × 109 m/s2 opposite to the electric fieldD) 67.1 × 1010 m/s2 opposite to the electric fieldE) 6.71 × 1010 m/s2 in the direction of the electric fieldXXX

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26) Two point charges of +30.0 µC and -9.00 µC are separated by a distance of 20.0 cm. A +7.00 µCcharge is placed midway between these two charges. What is the electric force acting on this chargebecause of the other two charges?

26)

A) 245 N directed towards the negative chargeXXXB) 0.453 N directed towards the negative chargeC) 2.45 N directed towards the negative chargeD) 245 N directed towards the positive chargeE) 2.45 N directed towards the positive charge

27) A metal sphere of radius 2.0 cm carries a charge of 3.0 µC. What is the electric field 6.0 cm from thecenter of the sphere?

27)

A) 7.5 × 106 N/CXXXB) 5.7 × 106 N/CC) 4.2 × 106 N/CD) 6.4 × 106 N/CE) 9.3 × 106 N/C

28) A styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C pointing downward.What charge must be placed on the ball for it to be suspended?

28)

A) -196 nCXXXB) -18.0 nCC) -16.0 nCD) -57.2 nCE) -125 nC

FIGURE 19-14

29) Three point charges of magnitude +2.0 µC, +3.0 µC, +4.0 µC are located at the corners of a triangleas shown in Figure 19-14 The resultant force acting on the +4.0 µC charge is given by

29)

A) 3.9 N at 97° with the +y-axis.B) 1.8 N at 97° with the +y-axis.C) 3.9 N at 97° with the +x-axis.XXXD) 2.7 N at 97° with the +x-axis.E) 2.7 N at 97° with the +y-axis.

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30) Which of the following is an accurate statement? 30)A) The electric field at the surface of a conductor is not necessarily perpendicular to the surface

in all cases.B) If a solid metal sphere carries a net charge, the charge will be uniformly distributed

throughout the volume of the sphere.C) If a solid metal sphere carries a net charge, the charge will move to the sphere surface.XXXD) A conductor cannot carry a net charge.

31) The force of attraction between a -40.0 µC and +108 µC charge is 4.00 N. What is the separationbetween these two charges?

31)

A) 1.13 mB) 3.67 mC) 2.49 mD) 3.12 mXXXE) 2.10 m

32) What are the magnitude and direction of the electric field at a distance of 1.50 m from a 50.0-nCcharge?

32)

A) 20 N/C toward from the chargeB) 10 N/C away from the chargeC) 20 N/C away from the chargeD) 200 N/C away from the chargeXXXE) 200 N/C toward from the charge

FIGURE 20-9

33) Two point charges of +2.00 µC and +4.00 µC are placed at the origin and at y = -0.300 m, as shownin Figure 20-9. What is the electric field potential at a point P at a position x = 0.400 m due to thesecharges?

33)

A) 11.7 × 103 VB) -11.7 × 103 VC) 36.0 × 103 VD) 117 × 103 VXXXE) -36.0 × 103 V

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FIGURE 20-10

34) Two point charges of magnitude +4.00 µC and +2.00 µC are placed at the opposite corners of arectangle as shown in Figure 20-10. What is the potential at point A due to these charges?

34)

A) +90.0 × 103 VXXXB) +9.00 × 103 VC) -90.0 × 103 VD) +900 × 103 VE) -9.00 × 103 V

35) A +8.00-µC charge is situated along the +y-axis at y = 0.400 m. What is the electric potential at theorigin because of this charge?

35)

A) -180 × 103 VB) +288 × 103 VC) -288 × 103 VD) 0 VE) +180 × 103 VXXX

36) The electric field at the surface of a conductor is 36)A) parallel to the surface. B) perpendicular to the surface.XXXC) never zero. D) always zero.

37) The absolute potential at the center of a square is 3. V when a charge of +Q is located at one of thesquare's corners. What is the absolute potential at the square's center when a second charge of -Q isplaced at one of the remaining corners?

37)

A) -6 V B) 6 V C) -12 V D) zeroXXX E) 12 V

38) For a proton moving in the direction of the electric field 38)A) its potential energy decreases and its electric potential increases.B) both its potential energy and it electric potential remain constant.C) its potential energy increases and its electric potential increases.D) its potential energy decreases and its electric potential decreases.XXXE) its potential energy increases and its electric potential decreases.

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39) What charge appears on the plates of a 2.0-µF capacitor when it is charged to 100 V? 39)A) 100 µCB) 0 µCC) 200 µCXXXD) 50 µCE) 150 µC

FIGURE 20-11

40) Three point charges of -2.00 µC, +4.00 µC, and +6.00 µC are placed along the x-axis as shown inFigure 20-11. What is the electrical potential at point P due to these charges?

40)

A) -307 × 103 VB) -154 × 103 VC) 0 VD) +154 × 103 VE) +307 × 103 VXXX

41) A voltage has been applied across a capacitor. If the dielectric is replaced with another dielectricconstant eight times as great and the voltage is reduced to half of what it was, the ENERGYSTORED in the capacitor is how many times the original stored energy?

41)

A) 1/4 B) 8 C) 4 D) 2XXX E) 1/2

42) Capacitors connected in series always have ________ total capacitance than any of the individualcapacities.

42)

A) more B) lessXXXC) Not enough information given. D) the same

43) The dielectric constant of a vacuum is 43)A) 8.99 × 109. B) 1.000.XXX C) o. D) zero. E) 1000.

44) A parallel-plate capacitor has plates of area 0.20 m2 separated by a distance of1.0 mm. What is the strength of the electric field between these plates when this capacitor isconnected to a 6.0 V battery?

44)

A) 6.0 N/CB) 3.0 kN/CC) 6.0 N/mCXXXD) 12. N/CE) 1.2 kN/C

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45) A negative charge, if free, tries to move 45)A) away from infinity.B) from low potential to high potential.XXXC) from high potential to low potential.D) in the direction of the electric field.E) toward infinity.

46) A 4-µF capacitor has a potential drop of 20 V between its plates. The electric potential energystored in this capacitor is:

46)

A) 0.8 µJ B) 800 µJXXX C) 8000 µJ D) 8 µJ E) 80 µJ

47) The absolute potential at a distance of 2.0 m from a negative point charge is -100. V. What is theabsolute potential 4.0 m away from the same point charge?

47)

A) -50. VXXXB) -0.40 kVC) -0.50 kVD) -0.20 kVE) -25. V

48) A surface on which all points are at the same potential is referred to as 48)A) a constant electric force surface.B) a constant electric field surface.C) an equivoltage surface.D) a dielectric surface.E) an equipotential surface.XXX

49) Which of the following expression(s) represents the electrical energy stored by a capacitor? 49)A) CV2/2B) QV/2C) Q2/2CD) All of the expressions are correct.XXXE) None of the expressions is correct.

50) Which of the following will increase the capacitance between the plates of a parallel platecapacitor?

50)

A) Increase the potential between the plates.B) Increase the charge on the plates.C) Decrease the potential between the plates.D) Introduce a dielectric material between the plates.XXXE) none of the above

51) A battery acquires and stores 51)A) charge.B) potential.C) energy.D) charge & potential but not energy.E) energy, charge, & potential.XXX

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52) What do you buy from the "power" company? 52)A) voltageB) currentC) energyXXXD) powerE) potential

53) How much charge must pass by a point in 20 s for the current to be 0.10 A? 53)A) 200 C B) 0.005 C C) 2.0 CXXX D) 50 C

54) The resistivity of most common metals 54)A) increases as the temperature increases.XXXB) remains constant over wide temperature ranges.C) varies randomly as the temperature increases.D) decreases as the temperature increases.

55) The resistance of an object is defined as 55)A) (voltage)/(current).XXXB) (voltage)(current).C) (length)(resistivity)(cross-sectional area).D) (current)/(voltage).E) (length)/(resistivity)(cross-sectional area).

56) If you connect two identical storage batteries together in parallel, and place them in a circuit, thecombination will provide

56)

A) twice the voltage and the same total charge that one battery would.B) the same voltage and twice the total charge that one battery would.XXXC) half the voltage and half the total charge that one battery would.D) twice the voltage and twice the total charge that one battery would.E) half the voltage and twice the total charge that one battery would.

57) Figure 17-1 is a symbol for which of the following?

Figure 17-1

57)

A) galvanometerB) batteryC) fuseD) resistorXXXE) capacitor

58) A light bulb operating at 110 V draws 1.40 A of current. What is its resistance? 58)A) 12.7 B) 78.6 XXX C) 154 D) 109

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59) A 500-W device is connected to a 100-V power source. What current flows through this source? 59)A) 200. mAB) 50,000 AC) 5.00 AXXXD) 1.60 × 1018 electrons/sE) 20.0 A

60) A copper wire of 1.0 cm2 cross-sectional area would have to be how long to have a resistance of 1.0ohm?

60)

A) 5.9 × 102 mB) 5.9 × 104 mC) 5.9 mD) 5.9 kmXXXE) 5.9 Mm

61) When resistors are connected in series 61)A) the current flowing in each is the same.XXXB) the same power is dissipated in each one.C) the potential difference across each is the same.D) the total effective resistance is reduced.

62) The length of a certain wire is doubled while its radius is kept constant. What is the change in theresistance of this wire?

62)

A) It stays the same.B) It is tripled.C) It is reduced by a factor of 2.D) It is doubled.XXXE) It is quadrupled.

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FIGURE 21-2

63) Which of the following equations represents a Kirchhoff's voltage rule for the circuit shown inFigure 21-2?

63)

A) +6 V - (12 )i1 - (8 )i2 + 4 V = 0 VXXXB) -6 V + 2 V - (6 )i3 = 0 VC) -(8 )i2 + 4 V + 6 V + (12 )i1 = 0 VD) +4 V - (8 )i2 - (12 )i1 = 0 VE) none of the above

64) A simple circuit has a total resistance of 30 . If a 2.0-A current is maintained in this circuit, howmuch energy is dissipated in this circuit in 4.0 seconds?

64)

A) 24 J B) 4.8 J C) 48 J D) 6.0 J E) 480 JXXX

65) Kirchhoff's junction rule is a statement of 65)A) the law of conservation of angular momentum.B) the law of conservation of momentum.C) the law of conservation of charge.XXXD) Newton's second law.E) the law of conservation of energy.

66) The length of a certain wire is doubled and at the same time its radius is tripled. What is the changein the resistance of this wire?

66)

A) It stays the same.B) It is reduced by a factor of 4.5.XXXC) It is tripled.D) It is quadrupled.E) It is doubled.

67) A wire of resistivity must be replaced in a circuit by a wire four times as long. If, however, thetotal resistance is to remain as before, the diameter of the new wire must

67)

A) remain unchanged.B) be two times smaller.C) be four times smaller.D) be four times larger.E) be two times larger.XXX

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68) When two or more resistors are connected in series to a battery 68)A) the total voltage across the combination is the algebraic sum of the voltages across the

individual resistors.B) the same current flows through each resistor.C) the equivalent resistance of the combination is equal to the sum of the resistances of each

resistor.D) all of the other choices are true.XXX

69) As more resistors are added in series to a constant voltage source (zero internal resistance), thepower supplied by the source

69)

A) increases for a time and then starts to decrease.B) increases.C) does not change.D) decreases.XXX

70) Which of the equations here is valid for the circuit shown in Figure 18-6?

Figure 18-6

70)

A) 2 - I1 - 2 I2 = 0B) 4 - I1 + 4I3 = 0XXXC) 2 - 2 I1 - 2I2 - 4I3 = 0D) -2 - I1 - 2I2 = 0E) 6 - I1 - 2I2 = 0

71) Figure 18-10 is a symbol for which of the following?

Figure 18-10

71)

A) groundB) ammeterC) fuseD) galvanometerXXXE) voltmeter

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72) Figure 18-11 is a symbol for which of the following?

Figure 18-11

72)

A) ammeterB) voltmeterC) fuseXXXD) resistorE) galvanometer

73) Three identical resistors are connected in parallel to a battery. If the current of12. A flows from the battery, how much current flows through any one of the resistors?

73)

A) 36 A B) 12 A C) 4 AXXX D) 18 A

74) A 3.0 resistor is connected in parallel with a 6.0 resistor. This combination is connected inseries with a 4.0 resistor. The resistors are connected to a 12. volt battery. How much power isdissipated in the 3.0 resistor?

74)

A) 6 WXXX B) 5.3 W C) 7.7 W D) 2.7 W E) 12 W

FIGURE 21-6

75) Three resistors of values 2 , 6 and 12 are connected across a 2.0-V DC voltage source asshown in Figure 21-6. What is the total current I flowing this circuit?

75)

A) 0.70 A B) 2.0 A C) 3.0 A D) 1.5 AXXX E) 6.0 A

76) Four resistors of 20 , 40 , 60 , and 80 are connected across a 50-V DC source. What is thecurrent through this circuit?

76)

A) 0.75 AB) 0.25 AXXXC) 2.0 AD) 0.50 AE) 4.0 A

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77) A 2.0 µF capacitor is charged through a 50,000. resistor. How long does it take for the capacitor toreach 90% of full charge?

77)

A) 2.3 s B) 0.23 sXXX C) 9.1 s D) 0.9 s E) 2.19 s

FIGURE 21-19

78) Four capacitors are connected as shown in Figure 21-19. What is the charge on a 2.0-µF capacitor? 78)A) 120 µCXXXB) 180 µCC) 90 µCD) 240 µCE) 68 µC

FIGURE 21-18

79) A system of capacitors is connected across a 90 V DC voltage source as shown in Figure 21-18.What is the equivalent capacitance of this system?

79)

A) 1.5 µFB) 3.3 µFXXXC) 3.6 µFD) 15 µFE) None of the other answers is correct.

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FIGURE 21-14

80) A number of resistors are connected across points A and B as shown in Figure 21-14. What is theequivalent resistance between points A and B?

80)

A) 6 B) 10 C) 12 D) 4 E) 8 XXX

FIGURE 21-9

81) A 4.0- resistor is connected in parallel with a 12- resistor and both of these are connected to aDC power supply with voltage V as shown in Figure 21-9. If the total current in this circuit is 2.0 A,what is the current through the 4.0- resistor?

81)

A) 2.0 A B) 3.0 A C) 1.5 AXXX D) 2.5 A E) 0.5 A

82) Three identical resistors are connected in series to a 12-V battery. What is the voltage across anyone of the resistors?

82)

A) 12 V B) 0 V C) 3 V D) 36 V E) 4 VXXX

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