Electrical Engineering Mastery Test 4 | REE Pre-Board Exam

REE BOARD EXAM PRE-TEST 4: The Real Deal for Electrical Engineers

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⇐ Electrical Engineering Mastery Test 3 | REE Pre-Board Exam

Choose the letter of the best answer in each question.

51. A 100 MW power plant has a heat rate of 2.88 x 10^6 calories per kW-hr. It is a base load plant and runs at full load 24 hours a day. How many tons of coal are needed per day?

A. 250

B. 625

C. 960

D. 830

52. A wire 100 cm long and carrying current of 40 A is in perpendicular whose magnetic flux density is 1.5 Wb/m². Calculate the mechanical power which has velocity of 5 m/s.

A. 150 W

B. 600 W

C. 300 W

D. 100 W

53. This is the least prevalent shunt fault among transmission and distribution lines.

A. LLL

B. LL

C. LLG

D. LG

54. A 4-pole, three-phase 50 Hz induction motor develops a maximum torque of 20 N-m at 1,440 rpm. Obtain the torque exerted by the motor at 5% slip.

A. 19.51 N-m

B. 16.51 N-m

C. 17.51 N-m

D. 18.51 N-m

55. The per-unit impedance of a synchronous machine is 0.242. If the base voltage is increased by 1.1 times, the per unit value will be

A. 0.220

B. 0.200

C. 0.242

D. 0.266

56. A bundled three-phase line having three conductors per bundle with 45 cm between conductors of the bundle. The outside diameter is 0.175 in and the spacing between bundle centers is 10, 10 and 20 m. Calculate the capacitive reactance in kΩ-km if the system frequency is 60 Hz.

A. 382

B. 243

C. 247

D. 232

57. Why is the core loss negligible during a short-circuit test conducted in transformer?

A. Power factor is high

B. Frequency is low

C. The mutual flux is small

D. Current is high

58. What characteristic of plates of the battery is where Ampere-hour is rated?

A. strength

B. distance

C. area

D. thickness

59. A system response is given as c(t) = 12 – 3e^-7t. What is the forced response?

A. 12

B. None of the choices

C. -3

D. 7

60. A current through the coil increases to 20 A in 1/1000 sec. If its inductance is 1µH. What is the induced voltage at this instant?

A. 200 V

B. 2 V

C. 0.2 V

D. 20 V

61. A 1000×1000 bus admittance matrix for an electric power system has 8000 non-zero elements. The minimum number of branches (transmission lines and transformers) in the system is _______.

A. 8000

B. 3500

C. 7000

D. 4000

62. A 7.5 MVA, 69/13.8 kV, 3-phase transformer has 8% impedance. What is the per-unit impedance at 10 MVA base?

A. 0.24

B. 0.06

C. 0.096

D. 0.106

63. A three-phase, 60 Hz, transmission line has its conductors arranged in a triangular configuration so that the two distances between conductors are 5 m and the third is 8 m. The conductors have an outside diameter of 0.25 inch. Find the inductive reactance in ohm per km per phase of the transmission line.

A. 0.586

B. 0.299

C. 0.567

D. 0.283

64. A dc shunt generator is supplying a load connected to a bus-bar voltage of 220V. It has an armature resistance of 0.025 ohms and a field resistance of 110 ohms. Neglecting armature reaction, calculate the load power.

A. 80 kW

B. 90 kW

C. 70 kW

D. 60 kW

65. If 25 ohms and 125 amperes are the base impedance and base current, respectively for a given system, what is the base kVA?

A. 781.25

B. 390.625

C. 39.1

D. 76.12

66. A 2000 kVA, 3300 V, 3-phase, star-connected alternator delivers rated load at a pf of 0.8 lagging. The effective resistance between armature winding terminal is 0.1 ohms. The field takes 68 A at 125 V. Friction and windage loss is 16 kW and the core losses are 31 kW. Determine the full load efficiency of the alternator.

A. 92.07%

B. 96.6%

C. 94.38%

D. 97.8%

67. Find the distance between two identical charges of 4 µC when they experience the force of 250 N.

A. 24 mm

B. 20 mm

C. 5 mm

D. 12 mm

68. A long straight conductor is carrying 100 A current. Determine the flux density in T at a point 8 cm from the conductor.

A. 0.025 x 10^-3

B. 0.25 x 10^-3

C. 0.25

D. 2.5 x 10^-3

69. When using any instrument for measurement or testing an electrical circuit, your _____ should be considered first.

A. dress

B. surroundings

C. personal Safety

D. theoretical Knowledge

70. One primary and one secondary terminal of a two-winding transformer is connected to an ohm-meter instrument. What will be the reading on this instrument?

A. zero

B. impedance is doubled

C. equal to winding resistance

D. infinity

71. Grounding allows ________ opposition path of current flow

A. medium

B. high

C. low

D. effective

72. The resistance of the primary coil of a well-designed 1:10 step-down transformer is 1-ohm. With the secondary circuit open, the primary is connected to a 12V AC generator. What is the primary current?

A. About 120

B. Essentially zero

C. About 12A

D. Depends on the core material

73. Given a transfer function of T(s) = 5/(s + 3)(s + 6), state the nature of the response.

A. overdamped

B. undamped

C. underdamped

D. underdamped

74. A conduit bend needed if the conduit end is running through an outlet box for connection of lighting fixture, convenience outlet, etc.

A. Saddle bend

B. Corner bend

C. Offset bend

D. Gooseneck bend

75. An industrial load of 4,000 kW is supplied at 11000 volts, the power factor being 0.8 lagging. A synchronous motor is required to meet an additional load of 1500 hp and at the same time to raise the resultant power factor to 0.95 lagging. Determine the kVA capacity of the motor. Note that the efficiency of the synchronous motor is 80%.

A. 1700 kVA

B. 2015 kVA

C. 1850 kVA

D. 2000 kVA

76. When one coil of magnetically coupled pair has a current of 5 A, the resulting flux Φ₁₁ = 0.4 mWb and flux Φ₁₂ = 0.8 mWB respectively. If the turns are N₁ = 500 and N₂ = 1500, find the coefficient of mutual inductance.

A. 60 mH

B. 240 mH

C. 120 mH

D. 1069 mH

77. Find the average emf induced in a 500-turn coil if there is a current change if 0.25 A in a time of 0.1 s.

A. 1250 V

B. 125 mV

C. 12.5 mV

D. 125 V

78. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jω-axis: P(s) = s⁵ + 3s⁴ + 5s³ + 4s² + s + 3

A. 3 rhp, 2 lhp

B. 5 rhp, 0 lhp

C. 2 rhp, 3 lhp

D. 0 rhp, 5 lhp

79. Which of the following is not a method of measuring the slip of an induction motor?

A. Actual Measurement of Rotor speed

B. Measurement of Rotor Frequency

C. Stroboscopic Method

D. Magnetizing method

80. The per-unit impedance of a circuit element is 0.30. If the base KV and base MVA are halved, then the new value of the per-unit impedance of the circuit element will be _____.

A. 0.0030

B. 0.0060

C. 0.30

D. 0.60

81. Find the output response c(t) for the given transfer function C(s) = 5/s(s+5).

A. c(t) = 1 + e^-5t

B. c(t) = 1 – e^-5t

C. c(t) = -1 + e^-5t

D. c(t) = 5 – 10e^-5t

82. What size of branch circuit is required for a window air conditioner with a nameplate rating of 8 A if the circuit also supplies other outlets?

A. 17 A

B. 25 A

C. 15 A

D. 20 A

83. What is the maximum allowable continuous load for branch circuit conductors?

A. 0.8

B. 0.9

C. 0.7

D. 0.6

84. The field system of a 50 Hz alternator has a sinusoidal flux per pole of 0.1 Wb. Calculate the emf generated in one turn which span two-thirds of a pole pitch.

A. 17.4 V

B. 12.2 V

C. 9.6 V

D. 19.2 V

85. A balanced 33-phase wye-connected source is using a positive phase sequence, V_an = 220 V rms with 30 degrees angle. Determine V_bc.

A. -j381 V

B. 190.5 – j330 V

C. -190.5 – j330 V

D. 190.5 + j330 V

86. How much should a 100–watt lamp be lowered to double the illumination on the object which is 70 cm under it?

A. 12.8 cm

B. 50 cm

C. 20.5 cm

D. 15.5 cm

87. A rectangular coil of 50 loops is suspended in a field of magnetic induction of 0.65 T. The plane of the coil is parallel to the direction of the field. The dimensions of the coil are 15 cm perpendicular to the field lines and 12 cm parallel to them. What is the torque acting on it when the current in the coils is 57 A in N-m?

A. 66.7

B. 55.5

C. 33.3

D. 44.4

88. In a power system, there are 50 buses as follows: Slack bus = 1, Generator bus = 8, Load buses = 41. By the Newton-Raphson method, the size of the Jacobian matrix is ______.

A. 70×70

B. 90×90

C. 80×80

D. 60×60

89. A 5-V source is connected to a series combination of 1.8-ohm resistance and 0.79 F capacitance. Find the capacitor voltage at any time t. Assume zero initial conditions.

A. v_c(t) = 8 – 5e^-0.703t

B. v_c(t) = 10 – 5e^-0.703t

C. v_c(t) = 5 – 5e^-0.703t

D. v_c(t) = 1 – e^-0.703t

90. A balanced star-connected load is supplied from a symmetrical three-phase 440 V system. It draws a current of 40 Amperes at 0.866 power factor lagging. The total power taken by the load will be _____.

A. 26.4 kW

B. 30.4 kW

C. 13.2 kW

D. 40.4 kW

91. Compute for the core loss if the transformer consumes 75 watts when it is connected across a 240 V source and taking 1.4 A. The primary resistance is 0.25 Ω.

A. 74.65 W

B. 73.1 W

C. 74.51 W

D. 74.75 W

92. A small 3-phase induction motor has a short-circuit current 5 times of full load current and full load slip of 5%. Determine the starting torque if the starting resistance starter is used to reduce the impressed voltage to 60% of the normal voltage.

A. 25% FL Torque

B. 15 % FL Torque

C. 50%FL Torque

D. 45% FL Torque

93. A 120-volt dc motor that draws 200 amperes is located 1000 ft from the supply line. The diameter of wire is 0.45 inch, the specific resistance is 10.4 ohm – cmil per foot. What is the supply voltage?

A. 146 V

B. 129 V

C. 141 V

D. 136 V

94. In a capacitor the electric charge is stored in:

A. dielectric

B. metal plates

C. dielectric as well as metal plates

D. neither dielectric nor metal plates

95. A transformer is rated 10 kVA, 440/110 V and 60 Hz when operated as conventional 2-winding transformer. This transformer is to be used as 550/440 V step-down autotransformer in a distribution system. What is the new kVA rating of the transformer in this manner?

A. 50

B. 20

C. 37.5

D. 10

96. The rotor emf of a 3-phase, 6-pole, 400 V, 50 Hz induction motor alternates at 3 Hz. What is the rotor copper loss per phase if the full input to the rotor is 1119 kW?

A. 2200 kW

B. 2400 kW

C. 2238 kW

D. 2336 kW

97. A consumer consumes 600 kWh per day at a load factor of 0.5. Without increasing the maximum demand, if the consumer increase the load factor to 0.8, the consumption of energy in kWhr would be:

A. 480

B. 900

C. 300

D. 960

98. A 4-ohm resistor has a current i = 2.5 sin ωt A. Find the power over one cycle. ω = 500 rad/s.

A. 50 sin² ωt W

B. 2.5sin² ωt W

C. 25sin² ωt W

D. 5sin2² ωt W

99. The turbine used for high head in hydro power plant is:

A. Pelton turbine

B. Francis turbine

C. None of the choices

D. Kaplan turbine

100. Among the following, which is the best conductor of electricity?

A. Graphite

B. Ceramic

C. China Clay

D. Polyethylene