Seat No.

: _________

Republic of the Philippine

OPENSOURCE REE-RME REVIEW GROUP
https://www.facebook.com/groups/ree.opensource

OPENSOURCE ELECTRICAL ENGINEERING DIVISION

REGISTERED ELECTRICAL ENGINEERS LICENSURE EXAMINATION
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ELECTRICAL ENGINEERING: EE REFRESHER 2 SET: ________

INSTRUCTION: Select the correct answer for each of the following

questions. Mark only one answer for each item by shading the box
corresponding to the letter of your choice on the answer sheet
provided. STRICTLY NO ERASURES ALLOWED.

MULTIPLE CHOICE

1. In television system, channels 2 to 13 are classified as

A. VHF B. UHF C. SHF D. EHF

2. Two inductors of 20 mH and 10 mH are connected in series

carrying & current of 1 A. Find the stored energy.
A. 15 mJ B. 20 mJ C. 30 mJ D. 60 mJ

3. Three capacitors are connected in parallel. C1 = 12 µF, C₂ =

10 µF and C3 = 40 µF. What is the total capacitance?
A. 45 µF B. 5 µF C. 10 µF D. 62 µF

4. For an ac motor, the frequency is 60 Hz and the speed is 300

rpm. What is the number of poles?
A. 26 B. 24 C. 28 D. 30

5. A 240 v balanced 3Φ source supplies a purely resistive

impedance of 11.52 ohms per phase. What is the total power drawn
if it is Y-connected?
A. 5 kW B. 30 kW C. 15 kW D. 20 kW

6. Power in a three-phase delta system with balanced load is

equal to
A. √3 VLIL (p.f.) C. √3 VΦIΦ (p.f.)
B. 3VΦIL (p.f.) D. 3 VLIL (p.f.)
7. What is the minimum number of wattmeters required to measure
unbalanced power for a three-phase system?
A. 2 B. 4 C. 3 D. 1

8. Form factor is defined as

A. rms value/peak value C. maximum value/rms value
B. rms value/average value D. effective value/rms value

9. The value of form factor for a pure sine wave is ______

A. 1.414 B. 0.707 C. 0.637 D. 1.11

10. Find the horsepower rating of a motor running at 1,500 rpm

and developing a torque of 105 lb-ft.
A. 22 B. 28 C. 30 D. 36

11. There are two wires A and B. If the resistance of B ls R and

the diameter of A is twice of B, the length and the nature of
the material is the same, find the resistance of A.
A. R/2 B. R/4 C. 4R D. 2R

12. The breakdown voltage of the dielectric of a cable is 800

volts/mill. A factor of safety of 4 is used. Find the maximum
voltage at 3.5 mils.
A. 2,800 v B. 700 v C. 3,600 v D. 900 v

13. A wire has a resistance of 1 Ω. If the length is increased

four times and the area is doubled the original, find the new
resistance of the wire.
A. 50 Ω B. 20 Ω C. 10 Ω D. 0.5 Ω

14. The basic function of a circuit breaker is to

A. produce the arc C. Ionize the surrounding air
B. extinguish the arc* D. transmit voltage by arcing

15. Air used in air blast circuit breaker

A. must have least carbon dioxides
B. must be ionized
C. must have oil mist
D. must be free from moisture*

16. Two 30 resistances are connected in series. When an unknown

resistance R le connected in parallel with one, the new total
resistance is 40 a. What is the value of R?
A. 50 Ω B. 15 Ω C. 20 Ω D. 25 Ω
17. A 10: 1 single-phase transformer is rated 100 kVA 2,400/240
v. When the low voltage side of the transformer is maintained at
240 v, whet is the secondary impedance?
A. 0.876 Ω B. 0.776 Ω C. 0.573 Ω D. 0.876 Ω

18. What is the counterpart of magnetic flux in an electric

circuit?
A. voltage B. current C. resistance D. conductance

19. In a parallel circuit the potential difference across the

resistance
A. varies
B. is different from the applied voltage
C. is sometimes constant
D. is always constant

20. The rms value of a sinusoidal wave is equal to _____ of

maximum value
A. 0.637 B. 0.707 C. 0.508 D. 1.414

21. When one coil of a magnetically coupled pair has a current

of 5 A, the resulting fluxes Φ11 and Φ12 are 0.4 and 0.8 mWb,
respectively. If the tums are N1 = 500 and N2 = 1,500, find L2.
A. 530 mH B. 540 mH C. 1,060 mH D. 1,060 mH

22. In two-wattmeter method, the readings of the wattmeters will

be identical when
A. load in one of the phases is zero
B. power factor is unity
C. power factor is 0.5
D. neutral is earthed

23. The positive, negative, and zero-sequence reactances of a 20

MVA, 31.2 kV synchronous generator are 0.3 pu, 0.2 pu, and 0.1
pu, respectively. The generator is solidly grounded and lo not
loaded. A line to ground fault occurs on phase a. Neglecting all
the resistances, determine the fault current.
A. 2,916 A B. 4,374 A C. 2,525 A D. 5,050 A

24. What is the maximum distance between two receptacles in a

single-family dwelling unit?
A. 1.5 m B. 1.6 m C. 1.8 m D. 2.0 m

25. What is the minimum clearance between the recessed

incandescent fixture and the nearest point of a storage space of
a closet?
A. 100 mm B. 150 mm C. 200 mm D. 250 mm
26. What is the derating factor in such of 7 to 9 conductors in
a raceway?
A. 80% B. 85% C. 70% D. 75%

27. What is the maximum number of conductors in a raceway that

does not need to be derated?
A. 2 B. 3 C. 4 D. 5

28. Two electrons have a force of 3.46 x 10 N. What is the

distance between them?
A. 8.1 x 10-7 m C. 1.8 x 10-7 m
B. 8.1 x 10-18 m. D. 1.8 x 10-18 m

29. A wire 36 inches long is carrying a current of 1,200 A. Find

the flux density in gauss at a point 12 inches from the wire.
A. 2.40 B. 7.87 C. 6.31 D. 5.52

30. Four resistances of 10, 20, 30 and 40 ohms are connected in

parallel. What is the equivalent resistance?
A. 100 Ω B. 9.6 Ω C. 3.60 Ω D. 4.8 Ω

31. A factory works at 400-KW, 0.7 pf lagging. A 200 HP

synchronous motor is connected to the plant to correct the pf to
75% lagging. What should be the pf of the synchronous motor?
A. 80% B. 89% C. 91% D. 95%

32. A transformer has an impedance of 6%. The X/R ratio is 16.

Find the per unit admittance G + jR.
A. 10.3963 + j1.6834 C. 1.0396 + j16.8342
B. 10.3963 - j1.6034 D. 1.0396 - j16.6342

33. A 120 v dc motor draws 225 A from the supply at a distance

of 350 m using two copper conductors of diameter 0.5 inch and
resistivity 10.4 ohm-cmil/ft. Find the voltage of the supply.
A. 126 v B. 133 v C. 138 v D. 142 v

34. A balanced delta connected load Impedance of 18 + 118 per

phase is connected across a 230 v. three-phase source. Find the
total power consumed.
A. 10,560 w B. 1,445 w C. 4,336 w D. 3,527 w

35. 34.5 kV to 69 kV is classified as

A. low voltage C. medium voltage
B. high voltage D. extra high voltage
36. A circuit has a resonant frequency of 4,000 rad/sec and
bandwidth of 100 rad/sec. If the resistance is 5 ohms, find the
values of L. and C.
A. 50 mH, 1.25 µF C. 1.25 mH, 50 µF
B. 5 mH, 12.5 µF D. 12.5 mH, 5 µF

37. A 10 HP, 230 v, 60 Hz three-phase motor has an efficiency of

90% and pf of 0.85 legging. What is the capacitance per phase in
microfarads to be connected in parallel with the motor to
correct the power factor to unity?
A. 258 µF B. 155 µF C. 25.8 µF D. 15.5 µF

38. Three impedances are in parallel. The currents drawn by the

Impedances are Ia = 10 A, Ib = 12 A and Ic 15 A, respectively.
If Ia is the reference, Ib leads Ia by 30°, and Ic leads Ia by
45°, what is the total current?
A. 10∠0°+12∠30°-15∠45° C. 10∠0°-12∠30°-15∠45°
B. 10∠0°-12∠30°+15∠45° D. 10∠0°+12∠30°+15∠45°

39. A 99 MHz radio station has a 150 H inductor, what is the

capacitance?
A. 0.0172 pF B. 17.2 pF C. 1.72 µF D. 17.2 µF

40. An aluminum cable has 10 identical strands, a length of

1,800 m and a diameter of 2.50 mm each. What is the resistance
of the cable?
A. 5.63 Ω B. 0.563 Ω C. 8.63 Ω D. 0.863 Ω

41. If the speed of an Induction motor Increases, what happens

to the rotor frequency?
A. Increases
B. decreases
C. does not change
D. frequency has no relation to the speed

42. A 230 v dc shunt motor has a no-load line current of 7 A and

a full-load line current of 46 A. The armature resistance is
0.05 and the shunt field is 75 0. Determine the motor efficiency
at full load.
A. 81% B. 84% C. 87% D. 85%

43. A 40-m metallic conductor of cross-sectional area 1 mm² has

a resistance of 12. Calculate the conductivity of the metal.
A. 3.33 MS/m B. 0.333 MS/m C. 6.67 MS/m D. 0.887 MS/m
44. The voltage across a 50-uF capacitor rises at a constant
rate of 10 V/ms. Calculate the current through the capacitor.
A. 2 mA B. 5 mA B. 50 mA C. 500 mA

45. Express the current phasor 25∠30° as instantaneous current.

A. 17.68 sin(ωt-30°) C. 35.35 sin(ωt+30°)
B. 35.35 sin(ωt-30°) D. 25 sin(ωt-30°)

46. A 7.5 HP, 500 v. three-phase Induction motor is developing

its full-load output at 960 rpm. The starting torque la equal to
the full-load torque. What will be the starting torque if the
supply voltage falls to 400 volts?
A. 35.62 N-m B. 32.34 N-m C. 28.27 N-m D. 38.82 N-m

47. A light bulb having a tungsten filament, draws 0.5 A at 110

v. The cold resistance of the filament is 20 Ω at 20 °C. At this
temperature the temperature coefficient of resistance for
tungsten is 0.005 °C-1. Determine the operating temperature of
the bulb.
A. 1,980 °C B. 2,080 °C C. 2,120 °C D. 2,020 °C

48. One advantage of distributing the winding in alternator is

to
A. reduce harmonics*
B. improve voltage waveform
C. reduce the amount of copper
D. decrease the value of the voltage

49. A single-circuit three-phase line operated at 60 Hz is

arranged in a triangular configuration with distances of 20 ft,
20 ft and 38 ft between conductors. The conductors are ACSR
Drake with GMR of 0.0373 ft. Find the inductive reactance per
mile per phase.
A. 0.478 Ω B. 0.578 Ω C. 0.788 Ω D. 0.678 Ω

50. A 120-v shunt motor has an armature equivalent of 0.5 and a

field resistance of 60 n. At full-load, the motor takes 10 A and
the speed is 1,000 rpm. At what speed must this motor may be
driven as a generator to deliver 10 A to an external load at 120
v?
A. 1,158 rpm B. 1,086 rpm C. 1,262 rpm D. 1,045 rpm

51. A three-phase alternator has 6 slots per pole per phase.

Determine the distribution factor.
A. 0.977 B. 0.956* C. 0.963 D. 0.948
52. The terminal voltage of a Y-connected load consisting of
three equal Impedances of 20∠30° is 4.4 kV line to line. The
impedance in each of the three lines connecting the load to a
bus at a substation is Z = 1.4478 2. Find the line-to-line
voltage at the substation bus.
A. 4.52 kV B. 4.62 kV C.4.48 kV D. 4.58 kV

53. The reactance of a generator designated X° is given as 0.25

per unit based on the generator's nameplate rating of 18 KV, 500
MVA. The base for calculations is 20 kV, 100 MVA. Find X on the
new base.
A. 0.0405 pu B. 0.0504 pu C. 0.0450 pu D. 0.0540 pu

54. If the voltage is doubled, the ampacity of a conductor

A. Increases C. decreases
B. doubles D. remains the same*

55. A 20 kW, 200 v shunt generator is operated at rated load. If

the driving engine is developing 30 bhp, determine the Iron and
friction losses. Armature resistance is 0.05 ohm and shunt field
resistance is 50 ohms.
A. 1,340 w B. 1,039 w C. 954 w D. 1,034 w

56. The purpose of a grid system is to

A. Interconnect the power stations*
B. supply energy to remote areas
C. make extra high voltage available to consumers
D. make distribution of energy at reasonable cost

57. As the load is increased the speed of a dc shunt motor will

A. remain constant C. increase slightly
B. Increase proportionately D. reduce slightly*

58. Power in a balanced 3-phase system is measured by the two-

wattmeter method and it is found that the ratio of the two
wattmeter readings is 2 is to 1. What is the power factor of the
system?
A. 0.9 B. 0.866* C. 0.82 D. 0.707

59. A 50 HP, 440 v, 3-phase, 60 Hz, 6-pole squirrel cage

induction motor is operating at full-load and 0.8 power factor.
The full-load efficiency is 85% and the percentage slip is 5%.
Determine the full-load torque.
A. 214.55 N-m B. 206.72 N-m C. 312.47 N-m* D. 323.24 N-m
60. A 170-mile, 230-kV, 60 Hz, three-phase single-circuit
transmission line uses a triangular arrangement with 20 ft, 20
ft and 36 ft spacing, respectively. If the line conductors have
a GMR of 0.0217 ft, determine the capacitive susceptance to
neutral per mile.
A. 4.81 x 10-8 mho per mile C. 12.74 x 10-8 mho per mile
C. 7.92 x 10-8 mho per mile D. 2.47 x 10-8 mho per mile

61. A series RLC circuit has R = 100 ohms, L = 100 μH and C =

100 pF. What is the frequency in MHz at unity power factor?
A. 1.59 B. 1.36 C. 15.9* D. 13.6

62. An impedance draws a current of i = 10 cos (ωt - 30°) A from

a supply with voltage e = 220 sin ωt v. What is the impedance in
ohms?
A. 11+j9.05 B. 11-j9.05
C. 19.05+j11* D. 19.05-j11

63. A balanced wye-connected load with resistance of 8 ohms per

phase and no reactance is supplied by a 240 v, 3-phase source.
Find the real power of the load in watts.
A. 6,400 B. 7,200* C. 8,800 D. 7,600

64. If the field of a synchronous motor is under-excited the

power factor will be
A. lagging* B. leading C. unity D. more than unity

65. Find the efficiency of a 150 KVA transformer at 25% full-

load at 0.8 p.f. lagging if copper losses are 1,600 w at full
load and Iron losses are 1,400 w.
A. 96.24%* B. 94.24%. C. 97.24% D. 95.24%

66. An air gap 1.1 mm long and 40 sq. cm in cross-section exists

in a magnetic circuit. Determine the mmf required to create a
flux of 10 x 10-4 Wb in the air gap.
A. 2.1885 AT B. 218.85 AT C. 2,188.5 AT D. 21,885 AT

67. A three-phase, 440 V, 50 Hz, 6-pole induction motor running

at 950 rpm takes 50 kW at a certain load. The friction and
winding loss is 1.5 kW and stator losses = 1.2 kW. Determine the
output from the rotor.
A. 42.68 kW B. 46.48 kW C. 48.80 kW D. 44.86 kW

68. In dc machines, lap winding is used for

A. high voltage low current C. low voltage low current
B. high voltage high current D. low voltage high current*
69. Wye-wye power transformers are protected by current
transformers having ________ connection.
A. Δ-Δ* B.Y-Δ C. Δ-Y D. Y-Y

70. What is the overall efficiency of the turbine if the power

developed is 12 MW at a head of 150 meters and the nozzle
discharges 10 cubic meters each second?
A. 70.85% C. B. 81.55% C. 89.23% B. 78.99%

71. If supply voltage is changed by 5% for a 3D Induction motor,

its torque will have a change of
A. 5% B. 25% C. 10% D. 20%

72. A single phase transmission line has a total impedance of

5 ∠60° ohms and supplies a total load of 120 A, 3.3 kV and 0.8
power factor lagging. Calculate the sending end voltage.
A. 3.93 kV B. 3.62 kV C. 3.54 kV D. 3.86 kV

73. A 2.3 kV three-phase system supplies a 120-kW, 0.6 p.f.

lagging balanced load. Determine the capacitance in each phase
of a wye-connected capacitor bank to adjust, the power factor to
0.90 lagging.
A. 51.1 µF B. 52.2 µF C. 62.5 µF D. 78.2 µF

74. An impedance of 4 - j3 ohms is connected in parallel with an

ideal Inductor L across a 110 v, 60 Hz mains. Determine L if the
total voltage supplied to the circuit will be in phase with the
total current drawn.
A. 16.6 mH B. 19.2 mH C. 22.1 mH D. 26.8 mH

75. The sequence components of the line A current Ia are as

follows: Iao = 14.13∠17.34° A, Ia1 708.26∠-31° A and Ia2
2.98∠10.06° A. Find the line current Ib in amperes.
A. 695∠205°A. B. 695∠-155°A C. 695∠151°A D. 695∠209°A

76. Which of the following equipment is not a part of megger?

A. hand crank C. moving coil meter*
B. a coil of high inductance D. gear box generator

77. An Industrial plant has an aggregate load of 100 kW. The

demand factor is 60%. The average total energy consumption of
the plant in one year is 186 MWHR. What is the yearly load
factor of the plant?
A. 32.45% B. 42.25% C. 38.67% D. 35.39%
78. A series RL circuit in which R = 5 and L = 20 mH has an
applied voltage e = 100 + 50sin ωt + 25sin 3ωt, with ω = 500
radians per sec. Determine the power dissipated in the resistor
of the circuit.
A. 2610 W B. 2234 W C. 2302 W D. 2052 W

79. Two parallel connected loads A and B are supplied by a 440

v, 3-phase, 60 Hz generator. Load A draws an apparent power of
100 kVA at 0.80 power factor lagging and load B draws an
apparent power of 70 kVA at unity power factor. Determine the
feeder current.
A. 202 A B. 214 A C. 212 A D. 208 A

80. The armature current drawn by any dc motor is proportional

to
A. the voltage applied to the motor
B. the torque required*
C. the flux required in the motor
D. the speed of the motor

81. Surge Impedance of transmission line is given by

A.√C/L B. √CL C. 1/√CL D. √L/C*

82. A solenoid 500 cm long and 10 cm in diameter is wound with

1,500 turns. Find the energy stored in the magneto field when a
current of 5 A flows.
A. 0.045 J B. 0.055 J* C. 0.046 J D. 0.072 J

83. A coil of Inductance 8 mH, produces 80 Wb of magnetic flux.

Of this total flux 60 Wb are linked to a second coil of
Inductance 2 mH. How much is the mutual inductance between the
coils?
A. 3 mH B. 4 mH* C. 5 mH D. 2 mH

84. Calculate the capacitance between two parallel plates each

of which is 100 cm² and 2 mm apart in air.
A. 0.443 pF B. 0.515 pF C. 0.452 pF D. 0.502 pF

85. The potential at the terminals of the battery falls from 9 v

on open circuit to 6 volts when a resistor of 10 ohms is
connected across Its terminals. What is the internal resistance
of the batter??
A. 5 Ω B. 2 Ω C.4 Ω C.3 Ω

86. An unshaded lamp is 6 m above the table. It is lowered down

by 2 m. By how much is the illumination on the table increased?
A. 2 times B. 2.25 times C. 2.5 times D. 2.75 times
87. A three-phase motor driven pump at 1,800 rpm is discharging
500 gpm of water at a head of 25 meters. The pump efficiency is
75%. Determine the hp of the motor.
A. 15 hp B. 12 hp B. 14 hp C. 10 hp

88. The reactance of a three-phase alternator is 8 percent. If

the alternator is rated 25 MVA at 13.25 kV output voltage, line
to phase, solve for the magnitude of the fault current generated
when a short circuit occurs between 2 phases at the terminals.
A. 8,704 A B. 6,135 A C. 6,808 A D. 6,458 A

89. For an unbalanced load which connection is suitable?

A. 3-wire open delta connection
B. 4-wire wye connection*
C. 3-wire delta connection
D. 3-wire wye connection

90. An inductor has a value of 44 mH at 80 Hz. What is the

Inductive susceptance, stated as an imaginary number?
A.-j0.06 B. j0.08 C.-j7 D. j17

91. The meter movement in an illumination meter directly

measures
A. current* B. voltage C. power D. energy

92. A span of wire 1 km long has a conductance of 0.6 S. What is

the conductance of a span of this same wire that is 3 km long?
A. 1.8 S B. 0.6 S C. 0.2 S D. 0.36 S

93. A short 230 kV transmission line has impedance of 5 cis 78°

ohms. The sending end power la 100 MW at 230 kV and 85% power
factor. What is the voltage at the other end?
A. 225.4 kV B. 226.3 kV C. 223.2 kV D. 228.2 kV

94. A single-phase load on 220 v takes 5 kW at 0.6 lagging power

factor. Find the KVAR size of capacitor, which may be connected
in parallel with this motor to bring the resultant power factor
to unity.
A. 6.67 B. 7.32 C. 8.66 D. 6.26

95. A 5 KVA, 2,400-120/240 volt distribution transformer when

given a short circuit test had 94.2 volts applied with rated
current flowing in the short circuited wiring. What is the per
unit impedance of the transformer?
A. 0.0392* B. 0.0386 C. 0.0415 D. 0.0435
96. A six-pole, three-phase squirrel-cage induction motor is
connected to a 60-ops supply. At full-load, the rotor's induced
emf makes 72 complete cycles in 1 minute. Find the rotor speed.
A. 1,200 rpm B. 1,124 rpm C. 1,176 rpm D. 1,054 rpm

97. A 100 μF capacitor initially charged to 24 v is discharged

across a series combination of a 1 kΩ resistor and a 200 μF
capacitor. Find the current after 1 sec.
A. 7.24 nA B. 7.34 nA* C. 8.43 nA D. 8.84 nA

98. An electrical insulator can be made a conductor

A. by heating it B. by cooling it
C. by ionizing it* D. by oxidizing it

99. A power plant consumes 100,000 pounds of coal per hour. The
heating value of the coal la 12,000 BTU per pound. The overall
plant efficiency is 30%. What is the kW output of the plant?
A. 205,000 kw B. 105,500 kW C. 142,500 kW D. 175,000 kW

100. In a short circuit analysis, the positive, negative and

zero sequence impedances are 0.20 pu, 0.20 pu, and 0.25 pu,
respectively, using a base MVA of 50. Estimate the fault current
on the faulted Wires if a line-to-line fault at the 138 kV level
occurs.
A. 1,204 A B. 2,718 A C. 1,569 A D. 906 A