CHAPTER 21

Chapter 21, Alternating Current Circuits and Electromagnetic Waves

Chapter 21

Conceptual Questions

C1.In an RLC circuit, the maximum current is 1 amp. What is the average current?

a. A

b. A

c. (1/2) A

d. None of the above.C2.In an RC circuit, which of the following is a possible phase angle?

a. 45b. 45

c. 135

d. 135C3.In a 60-Hz RLC circuit, the phase angle is positive. The values of the resistance, inductance, and the capacitance are now doubled. Which of the following is now true about the phase angle?

a. It is still positive.

b. It could be zero.

c. It will be negative.

d. It could be positive, negative, or zero, but it cannot be greater than its original value.

C4.A monochromatic light wave in vacuum has frequency f0 and wavelength 0. Which of the following are also possible frequency and wavelength combinations for a monochromatic light wave in vacuum? C

a.2f0, 20

b. f0/2, 0/2

c. 2f0, 0/2

d. None of the above are possible.

C5.An RLC circuit has resistance R0, inductance L0, and capacitance C0. If the resistance value is now doubled, which values of inductance and capacitance will result in the same resonant frequency as before. C

a. 2L0, 2C0

b. L0/2, C0/2

c. 2L0, C0/2

d. 2L0, C021.1 Resistors in an AC Circuit

1.What is the effective (rms) current value for an AC current with an amplitude of 10 A?

a. 28 A

b. 3.1 A

c. 7.1 A

d. 14 A

2.In an AC series circuit, the current in a pure resistor differs in phase with the applied voltage by what angle?

a. zero

b. 45c. 90d. 1803. The rate of heat dissipation in an AC circuit with resistance, R, and effective current, Irms, is given by which of the following?

a. 0.5 ( (Irms)2Rb. (Irms)2Rc. 2.0 ( (Irms)2Rd. 4.0 ( (Irms)2R4.An AC voltage source, with a peak output of 200 V, is connected to a 50-( resistor. What is the effective (or rms) current in the circuit?

a. 2.8 A

b. 4.0 A

c. 5.6 A

d. 2.0 A

5.An AC voltage source, with a peak output of 200 V, is connected to a 50-( resistor. What is the rate of energy dissipated due to heat in the resistor?

a. 200 W

b. 400 W

c. 566 W

d. 800 W

6.The rms current is equal to the direct current that:

a. produces the same average voltage across a resistor as in an AC circuit.

b. dissipates an equal amount of energy in a resistor at the same rate as in an AC circuit.

c. provides the same average current in a resistor as in an AC circuit.

d. results in the same peak power in a resistor as in an AC circuit.

7. An AC voltage source, with a peak output of 120 V, results in dissipation of energy in a resistor at rate of 100 W. What is the value of the resistance?

a. 144 (

b. 120 (

c. 100 (

d. 72 (8.The peak voltage of an AC source is 200 V. What is the rms voltage?

a. 282 V

b. 200 V

c. 141 V

d. 100 V

9. In the typical household AC voltage of 120 V, what is the peak voltage?

a. 240 V

b. 170 V

c. 120 V

d. 85 V

21.2 Capacitors in an AC Circuit

10.The frequency in an AC series circuit is doubled. By what factor does this change the capacitive reactance?

a. 1/2

b. 1/4

c. 2

d. 4

11. In an AC series circuit the capacitive reactance is 200 ( and frequency is 100 Hz. What is the capacitance?

a. 3.2 (F

b. 6.28 (F

c. 8.0 (F

d. 50.0 (F

12.A 12.0-(F capacitor is connected to an AC source with an rms voltage of 120 V and a frequency of 60.0 Hz. What is the rms current in the capacitor?

a. 1.41 A

b. 0.768 A

c. 0.543 A

d. 0 A

13.When a 50-(F capacitor is attached to an AC source, its capacitive reactance is 40 (. If instead a 100-(F capacitor is attached to the same source, what will be its capacitive reactance?

a. 80

b. 57

c. 28

d. 20

14.In a capacitor in an AC circuit, the voltage:

a. leads the current by 90.

b. lags the current by 90.

c. may lead or lag the current depending on the frequency.

d. is in phase with 70.7% of the current.21.3 Inductors in an AC Circuit

15.In the inductor of a 60-Hz AC series circuit, the peak voltage precedes the peak current in each cycle by what time interval?

a. 2.1 ( 10(3 s

b. 4.2 ( 10(3 s

c. 8.3 ( 10(3 s

d. 1.7 ( 10(3 s

16.In an AC series circuit, the voltage in the inductor differs in phase with the voltage in the capacitor by what angle?

a. zero

b. 45c. 90d. 18017.In an AC series circuit the inductive reactance is 50 ( and the frequency is 100 Hz. What is the inductance in the circuit?

a. 80 mH

b. 240 mH

c. 500 mH

d. 740 mH

18. The current in an inductor connected to an AC voltage source lags the voltage. This lag is caused by the:

a. back emf in the coil.

b. voltage across the coil.

c. time required for electrical signals to travel through all the coils of an inductance.

d. resistance of the coil.

21.4 The RLC Series Circuit

19.What is the impedance of an AC series circuit that is constructed of a 10.0-( resistor along with 12.0 ( inductive reactance and 7.0 ( capacitive reactance?

a. 37.0 (b. 27.7 (c. 27.1 (d. 11.2 (20.What is the phase angle of an AC series circuit that is constructed of a 10.0-( resistor along with 12.00 ( inductive reactance and 7.00 ( capacitive reactance?

a. 26.6b. 18.4c. 87.0d. 63.421.An AC series circuit has 12.0 ( resistance, 15.00 ( inductive reactance and 10.00 ( capacitive reactance. If an effective (rms) emf of 120 V is applied, what is the effective (rms) current value?

a. 5.31 A

b. 9.23 A

c. 10.8 A

d. 26.0 A

22.Consider an AC series circuit containing a coil, capacitor and resistance. Tripling the frequency will change the inductive reactance by what factor?

a. 1/3

b. 1.0

c. 1.73

d. 3.0

23.Consider an AC series circuit containing a coil, capacitor and resistance. Tripling the frequency will change the capacitive reactance by what factor?

a. 1/3

b. 1.0

c. 1.73

d. 3.0

24.Consider an AC series circuit containing a coil, capacitor and resistance. Tripling the frequency will change the circuit's impedance by what factor?

a. 1/3

b. 1.0

c. 3.0

d. Information is insufficient to determine answer.

25. A resistor and capacitor are connected in series with an applied AC voltage source. Separate voltmeter readings across the resistor and capacitor give values of 50 V and 75 V (rms), respectively. What is the effective (rms) voltage of the source?

a. 25 V

b. 63 V

c. 90 V

d. 125 V

26. A resistor, inductor, and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V, respectively. What is the value of the effective (rms) voltage of the applied source in the circuit?

a. 48 V

b. 88 V

c. 95 V

d. 285 V

27. A resistor, inductor, and capacitor are connected in series, each with an effective (rms) voltage of 65 V, 140 V, and 80 V, respectively. What is the magnitude of the phase angle in this circuit?

a. 22b. 28c. 37d. 4328.In an AC circuit, the ratio of average current to maximum current is:

a. zero.

b. 0.5.

c. 0.707.

d. 1.0.

29.A 50-( resistor, a 0.1-H inductor, and a 10-F capacitor are connected in series to a 60-Hz source. The rms current in the circuit is 3 A. Find the rms voltage across the resistor, the inductor, and the capacitor.

a. 150 V, 113 V, 796 V (all rms)

b. 0.06 V, 80 V, 562 V (all rms)

c. 150 V, 113 V, 562 V (all rms)

d. 60 V, 80 V, 796 V (all rms)

30.A series circuit has equal values for resistance, capacitive reactance, and inductive reactance. The phase angle for this circuit is:

a. 60.

b. 60.

c. 180.

d. not given.

31.In an RLC series circuit the capacitive reactance is 24 . If the AC frequency doubles, what will be the resulting capacitive reactance?

a. 24

b. 12

c. 48

d. Additional information is need to find the value.

32.In an RLC series circuit the phase angle between the current and voltages is 30. If the AC frequency doubles, what is the resulting phase angle?

a. 30

b. more than 30

c. less than 30

d. Additional information is needed to reach a determination.

33.In an RLC series circuit, if the AC frequency is increased to a very large value, what value does the phase angle between the current and voltage approach?

a. 90

b. 0

c. 90

d. 4534In an RLC series circuit, if the AC frequency is decreased to a very small value, what value does the phase angle between the current and voltage approach?

a. 90

b. 0

c. 90

d. 4521.5 Power in an AC Circuit

35.An AC series circuit has 12.0 ( resistance, 15.00 ( inductive reactance and 10.00 ( capacitive reactance. If an effective (rms) emf of 120 V is applied, what is the power output?

a. 1 540 W

b. 1 300 W

c. 1 160 W

d. 1 020 W

36.The power dissipated in an AC series circuit increases as the phase angle approaches what value?

a. zero

b. 45c. 90d. 18037. The power factor in an AC series circuit is equal to which of the following ratios?

a. resistance to inductive reactance

b. capacitive reactance to inductive reactance

c. inductive reactance to capacitive reactance

d. resistance to impedance

38. A resistor, inductor and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V and 80 V, respectively. If the resistor is rated at 24 (, what is the average power dissipated in the circuit?

a. 88 W

b. 176 W

c. 238 W

d. 323 W

39.What is the average power dissipation in a series RC circuit if R = 5.00 k(, C = 2.00 F, and V = (170 V) cos 300t?

a. 2.60 W

b. 2.74 W

c. 28.2 W

d. 157 W

40.A 200-( resistor is connected in series with a 10-F capacitor and a 60-Hz, 120-V (rms) line voltage. If electrical energy costs 5.0 per kWh, how much does it cost to leave this circuit connected for 24 hours?

a. 62

b. 31

c. 5.2

d. 3.1

21.6 Resonance in a Series RLC Circuit

41.Resonance occurs in an AC series circuit when which of the following conditions is met?

a. resistance equals capacitive reactance

b. resistance equals inductive reactance

c. capacitive reactance equals inductive reactance

d. capacitive reactance equals zero

42. An AC series circuit contains a resistor of 20 (, a capacitor of 0.75 (F and an inductor of 120 mH. What frequency should be used to create a resonance condition in the circuit?

a. 160 Hz

b. 320 Hz

c. 640 Hz

d. 530 Hz

43. A series RLC AC circuit is at resonance. It contains a resistor of 30 (, a capacitor of 0.35 (F and an inductor of 90 mH. If an effective (rms) voltage of 150 V is applied, what is the effective (rms) current when the circuit is in resonance?

a. 3.3 A

b. 5.0 A

c. 9.4 A

d. 16.1 A

44. An AC series circuit contains a resistor of 20 (, an inductor of 30 mH and a variable capacitor. If the frequency of the applied voltage is 500 Hz, to what setting should the capacitor be set if resonance is achieved?a. 0.8 F

b. 1.6 F

c. 2.4 F

d. 3.4 F

45. A series RLC circuit in a radio is in resonance with AM 600 kHz. If the radio station is changed to AM 1 200 kHz, by what factor must the capacitance be multiplied to again achieve resonance?

a. 4

b. 2

c. 1/2

d. 1/4

46.Find the resonant frequency for a series RLC circuit where R = 20.0 (, C = 10.0 F, and L = 4.0 mH.

a. 507 Hz

b. 796 Hz

c. 1.59 kHz

d. 5.00 kHz

47.What is the average power dissipation in an RLC series circuit in which R = 100 (, L = 0.1 H, and C = 10 F driven at resonance by a 100-V (rms) source?

a. 100 W

b. 500 W

c. 1 000 W

d. 2 W

48. An AM radio tuning circuit has a coil with an inductance of 6.00 mH and a capacitor set at 7.50 ( 10(6 (F. What frequency will it detect?

a. 550 kHz

b. 750 kHz

c. 1 060 kHz

d. 1 520 kHz

49.An FM radio tuning circuit has a coil with an inductance of 0.003 0 mH. What is the value of the capacitance if the set is tuned to 98 MHz?

a. 1.8 ( 10(6 (F

b. 12 ( 10(6 (F

c. 0.98 ( 10(6 (F

d. 0.88 ( 10(6 (F

50.Which of the following combinations of circuit components can be used to make a tuner for a radio, to select the desired frequency?

a. fixed inductor, variable resistor

b. fixed resistor, variable inductor

c. fixed inductor, variable capacitor

d. fixed capacitor, variable resistor

51.When an RLC series circuit is in resonance, its impedance is:

a. zero.

b. equal to its resistance.

c. a maximum.

d. /2 .

52.A series RLC circuit has a inductive reactance of 4 and a capacitive reactance of . By what factor should the AC frequency be changed to put this circuit into resonance?

a. 4

b.

c.

d. This circuit cannot be made to achieve resonance.21.7 The Transformer

53.The primary winding of an electric train transformer has 400 turns, and the secondary has 50. If the input voltage is 120 V(rms), what is the output voltage?

a. 480 V

b. 60 V

c. 15 V

d. 10 V

54.A transformer consists of a 500-turn primary coil and a 2 000-turn secondary coil. If the current in the secondary is 3.00 A, what is the primary current?

a. 0.750 A

b. 1.33 A

c. 12.0 A

d. 48.0 A

55. An AC power generator produces 50 A (rms) at 3 600 V. The voltage is stepped up to

100 000 V by an ideal transformer, and the energy transmitted through a long-distance power line with a total resistance of 100 (. What is the rms current in the long-distance line?

a. 1.0 A

b. 1.8 A

c. 24 A

d. 1 000 A

56.An AC power generator produces 25 A (rms) at 3 600 V. The energy is transmitted through a long-distance power line, which has a total resistance of 100 (. What percentage of the power delivered by the generator is dissipated as heat in the long-distance line if a step-up transformer is not used?

a. 0.09%

b. 1.8%

c. 32%

d. 69%

57. A transformer is to be designed to increase the 30-kV (rms) output of a generator to the transmission line voltage of 345 kV (rms). If the primary winding has 80 turns, how many turns must the secondary have?

a. 6

b. 70

c. 920

d. 9 200

58.An ideal transformer is one that:

a. has a turn ratio, N2/N1, equal to 1.

b. works with direct current.

c. experiences no power loss.

d. has an output frequency of 60 Hz.

21.8 Maxwells Predictions

21.9 Hertzs Confirmation of Maxwells Predictions

59.Which one of the following scientists made the theoretical prediction that electromagnetic waves travel through a vacuum at the speed of light?

a. Hertz

b. Faraday

c. Maxwell

d. Lenz

60.Which one of the following scientists first built and operated devices that could emit and detect manmade electromagnetic radiation?

a. Hertz

b. Ampere

c. Maxwell

d. Lenz

61.Maxwell developed his theory of electromagnetism by combining previous discoveries. He added his own original hypothesis that:

a. electric charges produce electric fields.

b. moving electric charges produce magnetic fields.

c. changing electric fields produce magnetic fields.

d. changing magnetic fields produce electric fields.

62.Maxwell guessed that visible light was an electromagnetic wave because of its:

a. frequency.

b. wavelength.

c. speed.

d. energy.

21.10 Production of Electromagnetic Waves by an Antenna

21.11 Properties of Electromagnetic Waves

63.An electromagnetic wave is made up of which of the following oscillating quantities?

a. electrons only

b. electric fields only

c. magnetic fields only

d. electric and magnetic fields

64. An electromagnetic wave with a peak electric field component of 1.2 ( 102 N/C has what associated peak magnetic field value? (0 = 8.85 ( 10(12 C2/N(m2, (0 = 4( ( 10(7 T(m/A and c = 3.00 ( 108 m/s)

a. 4.0 ( 10(7 T

b. 3.6 ( 1010 T

c. 2.5 ( 106 T

d. 2.8 ( 10(11 T

65.Which condition of motion must be met with regard to a charged particle if it is in the process of emitting electromagnetic radiation?

a. moves at constant velocity

b. accelerates

c. moves at the speed of light

d. moves parallel to a uniform magnetic field

66.The electric field, , in an electromagnetic wave is oriented in what direction with respect to its associated magnetic field, ?

a. parallel to

b. antiparallel to

c. perpendicular to

d. at a 45 angle to

67. An electromagnetic wave with a peak magnetic field component of 1.5 ( 10(7 T has an associated peak electric field component of what value? ((0 = 4( ( 10(7 T(m/A, 0 = 8.85 ( 10(12 C2/N(m2 and c = 3.00 ( 108 m/s)

a. 0.50 ( 10(15 N/C

b. 2.00 ( 10(5 N/C

c. 2.20 ( 104 N/C

d. 45 N/C

68. An electromagnetic wave with a peak magnetic field component of 1.5 ( 10(7 T carries what average power per unit area? ((0 = 4( ( 10(7 T(m/A, 0 = 8.85 ( 10(12 C2/N(m2 and c = 3.00 ( 108 m/s)

a. 12 W/m2b. 2.7 W/m2c. 3.0 W/m2d. 1.3 W/m269. A radio wave transmits 1.2 W/m2 average power per unit area. What is the peak value of the associated magnetic field? ((0 = 4( ( 10(7 T(m/A and c = 3.00 ( 108 m/s)

a. 1.0 ( 10(7 T

b. 8.4 ( 10(3 T

c. 1.2 T

d. 30 T

70.How is the direction of propagation of an electromagnetic wave oriented relative to the associated and fields?

a. parallel to both and

b. perpendicular to both and

c. parallel to , perpendicular to

d. parallel to , perpendicular to

71.What is the maximum value of the electric field E at 1.0 m from a 100W light bulb radiating in all directions? (0 = 4( ( 10(7 T(m/A, c = 3.00 ( 108 m/s)

a. 77 V/m

b. 2 000 V/m

c. 4 000 V/m

d. 6 000 V/m

72.Determine the amount of energy carried in l.0 m of a 3.5mW HeNe laser beam if the crosssectional area of the beam is 5.0 ( 10(6 m2.

a. 0.012 J

b. 4.1 ( 108 J

c. 1.2 ( 1011 J

d. 1.0 J

73.The Earth is 1.49 ( 1011 m from the Sun. If the solar radiation at the top of the Earth's atmosphere is 1 340 W/m2, what is the total power output of the Sun?

a. 7.48 ( 1027 W

b. 2.34 ( 1030 W

c. 6.62 ( 1026 W

d. 3.74 ( 1026 W

74.If the radiant energy from the Sun comes in as a plane EM wave of intensity 1 340 W/m2, calculate the peak values of E and B. (0 = 4( ( 10(7 T(m/A)

a. 330 V/m,3.0 ( 10(4 T

b. 1 010 V/m, 3.35 ( 10(6 T

c. 330 V/m,3.35 ( 10(6 T

d. 1 010 V/m, 3.0 ( 10(4 T

75.Peak values for a neodymiumglass laser are 600 J for 1 nanosecond . If the crosssection of the laser beam is 1 cm2, what are the maximum values of E and B? (0 = 4( ( 10(7 T(m/A, c = 3.00 ( 108 m/s)

a. 2 ( 109 V/m, 2 T

b. 4 ( 108 V/m, 7 T

c. 2 ( 109 V/m, 7 T

d. 4 ( 108 V/m, 2 T

76.A solar cell has a lightgathering area of 10 cm2 and produces 0.20 A at 0.80 V (dc) when illuminated with sunlight of intensity 1 000 W/m2. What is the efficiency of the solar cell?

a. 16%

b. 7%

c. 23%

d. 4%

21.12 The Spectrum of Electromagnetic Waves

77.In order of increasing frequency, which of the following is correct?

a. visible, radio, ultraviolet and xray

b. infrared, visible, ultraviolet and gamma

c. visible, gamma, ultraviolet and xray

d. infrared, x-ray, visible and gamma

78. A radar pulse returns 3.0 ( 10(4 seconds after it is sent out, having been reflected by an object. What is the distance between the radar antenna and the object? (c = 3.00 ( 108 m/s)

a. 9.0 ( 104 m

b. 4.5 ( 104 m

c. 6.0 ( 104 m

d. 1.0 ( 104 m

79.In order to keep its food hot, a restaurant will place it under which type of lamp?

a. infrared

b. visible light

c. ultraviolet

d. xray

80.Glass panes are opaque to a certain type of radiation, which passes through quartz. What type of radiation is it? This radiation is important in ozone layer reactions.

a. microwave

b. gamma

c. xray

d. ultraviolet

81. A radio wave signal, which transmits at a frequency of 7.20 MHz, has what wavelength? (c = 3.00 ( 108 m/s)

a. 41.7 m

b. 4.17 m

c. 28.8 m

d. 2.4 ( 10(2 m

82. A radar pulse sent out to an airplane at a distance of 20.0 km will return as an echo to the source in what time interval? (c = 3.00 ( 108 m/s)

a. 33.3 ( 10(6 s

b. 66.7 ( 10(6 s

c. 133 ( 10(6 s

d. 0.033 3 ( 10(6 s

83.The human eye is sensitive to light with wavelength down to 390 nm. What is the frequency of radiation at this wavelength? (1 nm = 10(9 m and c = 3.00 ( 108 m/s)

a. 1.8 ( 108 Hz

b. 8.5 ( 108 Hz

c. 1.1 ( 1011 Hz

d. 7.7 ( 1014 Hz

84.An ultraviolet light wave has a wavelength of 300 nm and speed of 2.1 ( 108 m/s through a transparent medium. What is the frequency of this wave in the medium? (1 nm = 10(9 m and c = 3.00 ( 108 m/s)

a. 6.3 ( 102 Hz

b. 9.0 ( 102 Hz

c. 7.0 ( 1014 Hz

d. 10 ( 1014 Hz

85.Microwave radiation is useful in which of the following?

a. sending phone messages

b. cooking food

c. aircraft navigation

d. All of the above are valid choices.

86. Temperature variation of different parts of a persons body can be detected by analyzing the emission pattern of which type of electromagnetic radiation?

a. microwave

b. infrared

c. ultraviolet

d. xrays

87.Of the various types of electromagnetic radiation, which is the most penetrating through all forms of matter?

a. infrared

b. gamma

c. visible light

d. ultraviolet

88. What value of inductance should be used in a series circuit with a capacitor of 1.8 ( 10(3 (F when designed to radiate a wavelength of 35 m? (c = 3.00 ( 108 m/s)

a. 3.8 mH

b. 2.6 ( 10(2 mH

c. 3.8 ( 10(3 mH

d. 1.9 ( 10(4 mH

89.As an electromagnetic wave travels through free space, its speed can be increased by:

a. increasing its frequency.

b. increasing its energy only.

c. increasing both its energy and momentum.

d. None of the above will increase its speed.

90.An object that is giving off only infrared electromagnetic waves is giving off heat through:

a. convection.

b. conduction.

c. radiation.

d. visible light.

91. The electromagnetic radiation that causes tanning:

a. can produce cancer.

b. rarely passes through glass windows.

c. is absorbed by ozone.

d. is all of the above.

92.What is the wavelength of 100-MHz television EM waves? (c = 3 ( 108 m/s)

a. 0.3 cm

b. 3 m

c. 9 km

d. 10 m

93. Find the frequency of xrays of wavelength 10(10 m. (c = 3 ( 108 m/s)

a. 3 ( 1018 Hz

b. 3 ( 1016 Hz

c. 6 ( 109 Hz

d. 3 ( 108 Hz

21.13 The Doppler Effect for Electromagnetic Waves

94. In the Doppler effect for electromagnetic waves, which of the following gives the greatest shift in frequency?

a. the source moving toward the non-moving observer at speed v

b. the observer moving toward the non-moving source at speed v

c. the source moving toward the approaching observer, both at speed v/2

d. All of the above give the same shift.

95.The Doppler shift for electromagnetic radiation from distant galaxies moving away from the observer is called a:

a. red shift.

b. blue shift.

c. black shift.

d. vacuum shift.

96.An observer is moving in space toward a distant star at 100 km/s while the star is moving toward the observer at 200 km/s; the relative velocity being 300 km/s of approach. What relative change in frequency of the light from the star as seen by the observer? (The speed of light in space is 3.00 105 km/s).

a. 0.10% increase

b. 0.10% decrease

c. 0.067% increase

d. 0.033% decrease

Chapter 21 - Answers

#AnsDifficulty#AnsDifficulty#AnsDifficulty

C1.D130.D264.A2

C2.B131.B265.B1

C3.A232.B366.C1

C4.C233.A267.D2

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1.C235.D269.A2

2.A136.A170.B1

3.B137.D271.A2

4.A238.B272.C3

5.B239.A373.D2

6.B140.D374.B2

7.D241.C175.C3

8.C142.D276.A2

9.B143.B277.B1

10.A144.D278.B2

11.C245.D279.A1

12.C346.B280.D1

13.D247.A281.A2

14.B148.B282.C2

15.B249.D283.D2

16.D150.C184.C2

17.A251.B285.D1

18.A252.B286.B1

19.D253.C187.B1

20.A254.C288.D2

21.B255.B289.D1

22.D156.D290.C1

23.A157.C291.D1

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