REGISTERED ELECTRICAL ENGINEER Licensure Examination Saturday, Aug. 21, 2010 08:00a.m.-O 1:00 p.m.

MATHEMATICS SETA

INSTRUCTION: Select the correct answer for each of the following questions. Mark only the answer for each item by shading the box corresponding to the letter of your choice on the answer sheet provided. STRICTLY NO ERASURES ALLOWED. Use pencil no. 2 only. Please do not write anything on this questionnaire.

MULTIPLE CHOICE

1. When the corresponding elements of two rows of a determinant are proportional, then the value of the determinant is -

A. zero C. one B. multiplied by the ratio D. unknown

2. 1""2 = a"'2cos(29) is the equation of a __ A. rosette C. lemniscate

3.

4.

5.

6.

7.

8.

9.

B. limacon D. cardioids Spheres of the same diameter are piled in the form of a pjramid with a square base until there is just one sphere at the top layer. If there are 25 spheres at the bottom, find the total number of spheres in the pile. b =- () Cl'l t

1 ~ ( '2. n H)

. A. 125 c. 110 py(l-A-NttDKL _~-"-\ Y1(VlH)('tl~ B. 55 D. 53 & ~ ----0---

An isosceles triangle of maximum area is inscribed in an ellipse with major axis 10 em and minor axis 8 em. so that- the base is parallel to the major axis and the opposite vertex on at end of the minor axis. Find the area of the triangle. -~-+ ~~. "--t: ~~--

A. 26 C. 24 ~ ll~;:~C\----x R 25 · D. 20 }r._ ~ ~"'r~x)(<Df"P-) ,_ x()i, J~Y-x" i-b)

Convert to cylindrical coordinate system given the rectangular coordinates (1,- l, -2) ), A. (1, 450,- 2) l"i / C. ( -J2, 600,- 2) - ~ ( g__~_? t x)

-! ,. ~ .(,.4-B. ( -J2,- 450,- 2) x""" D. (1,- 600, 2) ..lx ~ J;

A number which cannot be the root of an integral rational equation is called a " =- ~ ().j

~· transcendental number C. irrational numbers tJ ~ -t B. Euler's number D. natural number

The characteristic is equal to the exponent of 10, when the number is written in A. irrational C. exponential B. scientific notation Q; logarithmic

Find the area inside the cardioid r = a(l + cose) and outside the arc r =a

A: (3/2 -·n/2)a2 C. (n/2)a2 -~ 1 B. (n/4 + 2) a2 D. 1t (2/3)a2 - ~

If I9 kilos of gold loses 1 kilo; and 10 kilos of silver loses 1 kilo when weighed in water, find the weight of gold in a bar of gold and silver weighing 106 kilos in air and 99 kilos in water? "'+ ~ =- t 0

" t"' ""'"'.-

A. 76 kilos C. 84 kilos ~~ >< t-to ~ ~ q"f

B. 55 kilos D. 68 kilos x. = '7& ~"

10. What is the area enclosed by y = 3x 2 + 2x + 4, x = 2 and the axes. A. 16 C. 20 B. 24 D. 1

1r ~ t,.__(3x""" l-oJ<-t-4-)c:(x

,._ , >'I..<) :!.'l· <.A""''h

.,._o

11. If the lengths 2, 3, 5, 7 and 9 are to be used to form a triangle. What is the probability. that a triangle is formed?

A. 7110 ~ 3/10 B. 4/5 D. 3/5

12. Find the area between the witchy = 8a 3/(x2 + 4a 2) and its asymptote. "' ~. (o, v:v))

A. 2a 2 pi · C. (3/2)a 2 pi ~ ~ ::~~-:;--/ ~ ~ · B. 4a 2 pi · D. (5/2)a 2 pi >< t- +a ~ ---i--------···---x

13. A survey of500 television viewers produced the following result 285 watch football games 195 watch hockey games 115 watch basketball games 45 watch football and basketball 70 watch football and hockey 50 watch hockey and basketball 50 do not watch any of the three games.

How many watch football games only? A.230 B.200

C.160 Q.. 190

14. card is drawn from an ordinary deck of 52 cards. Find the probability p that the card is a face card or heart p _ ~ . ~ : J1

A. 1118 C. 11126 - s-1.. t "'~- Z<i -B. 3/52 D.~~

15. Water drains from a hemispherical basin of diameter 20 inches at the rate of 3 cu. in. per second. How fast is the water level falling when the depth of water is 5 inches? .,.. s

A 048 'n/ .. c 076' I . V"' tt\1'1-C?VL--VIJ" ITR.h -fl?.) . • 1 mm . . mmm . ?:.> • J.. e

B. 0.83 in/min D. 0.65 in/min :,v~"' (z-cTfl-l-J - rrl-1----) ;n 16. A spherical balloon is being inflated at the rate of 30 cu. ft. per min. At the instant the

radius is 15 ft, at what rate is the surface area increasing? A. 6 cu. ftlmin C. 4 cu. ftlmin B. 5 cu. ftlmin D. 3 cu. ftlmin

17. A rectangle is inscribed in an equilateral triangle with 10 em sides, such that one sides of the rectangle rests on one side of the triangle.

A. 21.65 C. 23.82 B. 22.73 D. 19.48

18. Find the area of a triangle whose vertices are located at (3, 0, 0), ( 0, 4, 0) and(O, 0, 6) A. 9.46 C. 21.83 B. 16.16 D. 22.59

19. Findthe equation of the hyperbola whose asymptotes are y = ± 2x and which passes through

20.

21.

22.

(5/2, 3). ~ "~-, 4~-v .,.... .... \J~ -v :!-. _.1. - 0

A. 3x2 - y2 = 9 ~- 4x2 - y2 = 16 + ::. :X 4 ~

!i"' - '?:'~-B. 5x2-y2 = 25 D. 2x2-y2 = 4 r" - 4-

Two particles have positions at time t given by the equations s 1 = t 3 - t, s 2 = 6t 2 - t 3.

:find their velocities when they have the same acceleration. A. 2, 4 C. 4, 8 ~2,9 D.4,9 ,r:: ~ y6 ~~l,::,.j.. x~"Z>/ 1 0""~

Find the cube root of 27.5 by using ~ifferentials. ~ ~- ~" )< _ j- x x ~ -z.-;_r , Cj.,? A.3.0187 C.3.0186 ~ -z,>< )y .lK-7" ... ->i" ~;Y-2J

I -~ ~ B. 3.0184 D. 3.0185 ~ a ('l.-7) co,~) :- o.(' '3 ... ~ ~t~

Find the equation of the circle inscribed in the triangle fonned by the lines: 2x- 3y + 21 = 0, 3x- 2y- 6 = 0; 2x + 3y + 9 = 0

A . x 2 + y 2 - 2x- 4y = 8 C. x 2 + y 2 - 2x + 4y = 8

B. x 2 + y 2- 6x- 4y = 8 D. x 2 + y 2 + 2x- 4y = 8

~ \ (~)o-r-..,_ i! -r-

24.

27-

21.

2~.

rectangular

A 'V ··~y + 5 < ( .... '~ ~4

B. y 2 '-'" -6 At what pointo.n greatest

y=: y=-

Find /12

BaZ/4 Find ne "'···~""'""

A.

CUI'V€;; x=3 t, y=t2--2 c~ x -·- -+·~ y -- '?

x2 = y + 5 joining ( 1, 1) and (9, 7) subtend the

y

4

a {~Urvi;: is negative, the curve at that point is

pass over a wall is 3~ "''"""""""beam that can used.

30. Detennine + n)< lio) as n approaches zero n non~rwgative.

31.

1 0 the !Yil'IF'O'!'"~ll

A. sinu ·+ C .,_ cosu + c

32. Find the

33.

34. What is the degree

35.

36.

3 X·-X y =

a time rate of the water, How

about A. 90n: B. 701t

38. The equivalent of l ]

B. 1

40. space "'·'"~·~'"'"'""' altitude

x 1 Oto the 9 miles

41. What must a tin

42.

43.

44. Find the value of Jln

45.

46.

4,.,. I.

0

Find

Jl. 8/3 48. Find the area of

i\. 25 B. 100

49.

50.

·-cos

from J to e.

curves r

4 + z +

')

+ 4 y ::::• x .. is generated ~ wa:<;;kiA-~

dv-:c rt(::l<-1F _ t?o"") dx

v ~ TT f + ( ~"'f - 0 l>) J >--, -1

aM'S ' ·'2.607 1r

10 to the 13 13

each that is to be folded

at a constant

bent so that the volume is

can books be arranged if

same of long will

4 9mm2

o:.c 0

76)/365

>< ~ r-t..o& er ';) ~ r- <c>'Vl B-

r~ J7h.;;;

'

' '

' '

1-r-(r-?) =-3< 1 7u8

POWI!RLINE REVIEW caNTER, Inc • ...,... Ultl~nat:e 1!.1!. RevlelN Center

REGISTERED ELECTRICAL ENGINEERING Pre-Board Examination Saturday, August 21, 2010. 1:00 p.m.- 5:00 p.m.

ENGINEERING SCIENCES AND ALLIED SUBJECTS SET-B

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. Use pencil no. 2 only. Please do not mark or write anything in this questionnaire.

MULTIPLE CHOICE

1. A droplet of mercury has a radius of 0.5 mm. How many mercury atoms are in the droplet? For Hg: MW = 202 kg/kmol and sp.gr. = 13.6 IVl,.. fv : t-o·r,e~o ~~·) 1rr c -t->< 10-

4 Vl'l)-o

-A. 21.23x1017 C. 21.23x1018 m=: .. 7.,-z., xto-u.i<:J

B. 23.21 x1019 D. 23.21 x1020 N:: ; N"' .._ 2~~.4 (4--0"--'~-"-xw '4 ~ ;J " iL 1:2> ){~-D/IC a.f.ol'>"l6 -- (9

2. Given: r =distance between the particle in Angstrom, V(r) = Lennard-Jonnes potential, 6, delta =finite distance at which inter-particle is zero,£, sigma= depth of potential well. What is the potential in terms of sigma? A. 0.163 E C. 0.0163 e: B. -0.0163 e: D. -0.163 e:

3. In a titration process, suppose that a 20 ml of 0.1 N HCI neutralized 16 mL of unknown sodium hydroxide (NaOH). What is the normality of the base? A. 0.25 C. 0.15 B. 0.175 D. 0.125

4. Lis a nonvolatile, non-electrolytic liquid. A solid, S, is added to L to form a solution that just boils at 1 atm pressure. The vapor pressure of pure Lis 850 torr. What is the mole fraction of liquid L in the solution? ltt+w. ::: ~~v hr-r A. 89.4% C. 79.4% X"'~ f,n- , ~q .+ h B. 64.3% D. 85.7% "JQ) tzn- v

5. The mass (in atomic mass units, amu) of a photon at 0.8 times the ~peed o~ light is most nearly ?~~-"'I!! exfA-t'1lf WOW£- -rcq--J-icJe,

btGI.LJ~ f> 0 C. 0.8 amu - ~ Wb ~

B. 1.7 amu D. 2.2 amu 0

6. The radius of a hypothetical electron orbit is known to be 0.75A. What is the Broglie wavelength of the electron if four complete cycles constitute a stable pattern around the nucleus? /\ '=' ""rT r- ""- ~171 co. 1.r A)

0 0 V\ "" t A. 2.36A C. 0.118A /1."' t··<lt6 ~

0 0

B. 1.18 A D. 4.71 A

7. One of the main differences between cast iron and steel is that · A. Steel has a higher silicon content

.§.. Steel has a lower carbon content C. Steel cannot be annealed whereas cast iron can D. Steel contains a large amount of uncombined carbon

8. Vickers, Knoop and Brinell are all names of: A. Nobel prize winners in metallurgy B. Magnetic constant

C. Thermodynamics constant D. Hardness tests

9. The hardness of steel may be increased by healing to approximately 1500°F and quenching in oil or water if A. The carbon content if from 0.2% to 2.0% C. The carbon content is below 0.2% 8. The carbon content is above 3.0% D. 1he steel has been hot rolled instead of cast

10. Which of the following factors will affect the harderability of steel? I. Composition Ill. Lattice structure

A. I only II. Grain size IV. Cooling rate

C. I and I! B. IVonly 5. I and Ill

11. How many closest neighbors does BCC (body centered cubic) atom have? A. 4 ~- 8 B. 6 D. ",0

12. What is the equivalent of (11.01) base 2 to base 10" A. 3.25 c. 3025 B. 3.50 D. 3075

13. What is the equivalent of (75.7) base 8 to base 10? A. 62.785 c. 61.785 8. 62.875 D. 61.875

14. Is a type of memory chip that retains its data wher its power supply is switched-of, in other words, it is non-volatile. It is an array of floating-gate transistors individually programmed by an electronic device that supplies higher voltages t~an those normally used in digital circuits. A. Capacitive storage f. EPROM (t-iLkSMW fM&t'l-,tMMA-~i.,F TLe--ttY) ~J~Vvl1 ~o ~)

B. SRAM D. DRAM

15. What is the most common type of digital !C (integrated circuit) package? A. Dual in,..line package (DIP) --B. Complementary metal oxide semiconductor (CMOS) C. Metal type D. Transistor-transistor logic (TTL)

·,

16. What refers to the value of an intangible item which arises from the exclusive right of a company to provide a specified produc£ and service in a certain region of the country? A. Par value C. Goodwill value B. Going value D. Franchise value -

17. What is the faCtor name ofthe formula (1 + 1)n?

A. Single payment compound amount factor C. Uniform gradient future worth factor --B. Single payment present worth factor D. Capital recovery factor

18. On his 6th. birthday a boy .s left an inheritance. The inheritance will be paid in a lump sum of P10,000 on his 21st. birtflday. What is the present worth of the Inheritance as of the boy's 6th. Birthday, if interest is compounded annually at 4%? A. P4,442.64 ~ 9- P5,552.64 8. P5,652.46 D. P4,542.46

19. Suppose a man receives an initial annual salary of P60,000 increasing at the rate of P5,000 a year. lf money is worth at 10%. Determine his equivalent uniform salary for a period of 8 yrs.

· A. P75,022.39 B. P72,022.39

C. P70,055.35 D. P72,220.35

20. A machine has an initial cost of P50,000 and a scrap value of P1 0,000 after 10 years. Find the book value after 5 years using straight line depreciation. A. P32,000 C. P25,000 B. P28,000 , Q; P30,000

21. Can a corporation or firm be registered or licensed to practice electrical engineering? A. Yes B. No C. Yes, depending on the nature of business of corporation or firm D. Yes, upon approval of government regulating body

22. The official seal of a professional Electrical Engineer (PEE) as provided in section 4 (q) of R.A. 7920 must have an outer circle diameter of: A. 52 mm C. 50 mm B. 45 mm D. 48 mm --

23. is defined as properly localizing a fault condition to restrict outages to the equipment effected, accomplished by choice of selective fault protective devices. ~ coordination C. choice selection B. fault device D. monitoring

24. The connected electrical load of an office building is 300 kVA. The main circuit breaker to be installed is 1,600 Amp, 2 poles, 250 Volts. The Meralco distribution transformer is rated 20,000/230 Volts. It is to serve this load with a rated connected load of 500 kVA, single-phase, 60 Hz, 3% impedance, 230 Volts. What interrupting rating should be required for the main circuit breaker? A. 50 kAIC C. 150 kAIC B. 100 kAIC D. 75 kAIC -

25. A part of specification which describes the technical details types of construction. A. specific clause C. general clause B. shop drawing D. order to work

26. What prefix refers to 10 to the negative 15th. power? A. atto C. pi co B. femto D. nano

27. Two forces act on a point object as follows: 100 N at 170° and 100 N at 50°. Find their resultant.

-A. 100Nat110° C. 173.2Nat-160° B. 150Nat115° D. 173.2Nat20°

28. At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 6 ft/sec/sec. At the same instant a truck, traveling with a constant velocity of 30ft/sec overtakes and passes the automobile. How far beyond its starting point will the automobile overtake the truck? A. 250ft C. 150ft s" ~ 5 r B. 200ft , D. 300ft

29. A 100 kg weight rests on a 30 degree inclined plane. Neglecting friction how much pull must one exert to bring the weight up the plane? A. 50 kg C. 30 kg

B. 86.6 kg D. 70.71 kg

30. A body weighing 40 lbs, starts from rest and slides down a plane at an angle of 30° with the horizontal for which the coefficient of friction 0.3. How far it moved after 3 sec? A. 39.63 ft !;... 34.81 ft t: W\Qv

B. 21.95 ft D. 18.55 ft

31. A 2 kg block of wood rests on a long tabletop. A 5 g bullet moving horizontally with a speed of

150 m/sec is shot into the block and sticks in it. The block then slides 270 em along the table and stops. Find the speed of the block just aft~r imp~~. /7"' , 1

A. 0.347 m/sec C. 0.437 m/sec MtS_y( + Vl1t> vb "'- (mti v ) ·t- \'Vlb v ( o .ooS'~ )( '"" 'o/s. ) 1 -B. 0.374 m/sec D. 0.75 m/sec --~--- --- -~ v

'Z._ l!<o r 0 • 01>$' l<o I

II' :: 0 • '0 7 ""' --- ;,

32 What momentum does a 40-lbm projectile possess if the projectile is moving at 420 mph? _ A .. 520 !cf-sec C 16 800 lbf-sec 2.: :~ '4::- d ""~'"'<c 9 k='-.c,~.s"' B. 765 lbf-sec :J. 2.:! 34C ibf-sec i =- --~r;:::--~-;:e.'~-- __ .c-:c--=c-

# >e:_.-.; f:: 7..}.5" .~-S

)

33. A car is moving around a level curve of radius 200 m. Find the velocity to prevent the car from skidding. The coefficient of static friction between the tires and the road is 0.6. A. 62.16 m/sec .Q, 34.31 m/sec B. 43.31 m/sec D. 21.26 m/sec

34. What car be the ioad oe on tre cc,r..r-~ d ;~e c·css-sectior:a! area is 144 sq. ft. and the compressive stress cannot exceed 200 ii:Jf!ft:? -A. 28.8 kips B. 20 kips

C. 22 kips D. 32.2 kips

35. A steel wire 10 m long hanging vertically supports a tensile load of 2,000 N. Neglecting the weight of the wire determine the required diameter if the stress in not to exceed 140 MPa and the total elongation is not to exceed 5 mm. Assume E = 200 GPa. A. 6.24 mm C 4 04 mm B. 4.26 mm D 5.C5 mrr:

36. A hollow steel chimney 20m high subjected to increase in length of 3.5 mm due to passage of hot exhaust gas. vVhat is the temperature change on the steel chimney? Assume a = 11 x1 o-B per cc A. 16°C C. 12°C B. 26°C D. 22°C

37. A steel cylindrical tank weighs 35 kg with sp.gr of 7.87 contains a 4 Liter of liquid with density

of 997 kg/m3. What is the total mass of the tank?

A. 37 kg g_. 39 kg B. 41 kg D. 36 kg

38. A block of aluminum weighs 0.24525 N in air. What will be the tension in a string that suspends the block when the block is totally submerged in water? The density of aluminum is 2700 kg/m3. £fv ~ 0

'1:'

i=w-a ~~~~ A. 0.1544 N C. 0.4455 N ~

6 _ 1.., r-.. ~'I! to t:L ( ~-----~ \

• _-,...,.-.....,,~, 1>13 '2.-~0.b,x:"l·~'7s"'')

8. 0.1455 N D. 0.3361 N I" 0-(~"44 "-> ., .. ,-------------;.

39. At a height of 10,000 m above sea level, atmospheric pressure is about 210 mm of Hg. What is the resultant normal force on a 600 cm2 window of an airplane flying at this height when the hydrostatic condition and a pressure inside the p!ane of 760 mm of Hg and density of mercury is 13,600 kg/m3? ~o r=-ftl- .,. <f@.t.,) A A. 5.7 kN C. 4.4 kN t- w ~ T-"' B. 3.4 KN D. 2.6 kN e- t;_ •

40. The Froude number is a ratio A. of two irrational prime numbers B. proportional to the coefficient of heat transfer divided by the thermal conductivity C. proportional to the specific heat a constant pressure divided by the thermal conductivity Q proportional to the velocity divided by the square root of the characteristics dimension

" tJf~::. 2 IJ~\..

41. When a thin-bore, hollow glass tube is inserted into a container of mercury, the surface of the mercury in the tube A. is level with the surface of the mercury in the container 8. is below the container surface due to cohesion C. is below the container surface due to adhesion D. is above the container surface due to cohesion

42. A steam engine operates thermal efficiency?

between 150°C and 55U°C. What is its theoretical maximum

'~="1-A. 27% B. 49%

C. 73% D. 95%

"-'1 ""-- .JPJ r; i "' l't -

43. A 48-fe wall has an average thermal conductivity of 1.2 BTU-ftlff-oF-hr. If the temperature difference between the two sides is 18°F and the thickness is 0.7 ft, what is the total heat Joss in 5 hours?

A. 1480 BTU 8. 5180 BTU

C. 7300 BTU D. 7400 BTU

44. What is the coefficient of performance of a Garnet refrigeration cycle operating between" -10 °F and -190°F? ~f .,_ ·t-vo-w ,_ ~-~o A. -0.5 C. 1. 06

114 -r 1-1ft" E- r~(::qb t-+~oJ 8. 0.5 D. 1.50 <=. I-&'

----~------~

45. In 1993, a certain country consumption energy (in MegaBTU) from various sources was as follows: coal, 16.1; oil, 32.1: natural gas, 20.2: hydro, 2 9: and nuclear, 2.9. Calculate in Megawatthours the total electric energy that could be produced from these sources, assuming an average power-plant conversion efficiency of 0.25. A . 5.44 c. 3.44 B. 4.55 D 21.7

46. Convert 50°F to °C. A. 20°C C. 12°C B. 122°C -D . 10°C ...-

47. Chemical symbol of Sodium Oxide. C. Na20 D. Na02 ( s-&dt'u "V1 ~Faxt'&)

A. NaO 8. Na202 C f>OJ..;"t,., Pen> ')l;c\Jl )

48. Which of the following is the formula for acetic acid?

A. COOH C. CH3CH2COOH B. CH2COOH D. CH3COOH (•.h'N.-6o..r)

49. What is oxidized and what is reduced in the following reaction? t..ve>~Z-A-- U>"~ &t;OqtUJIJ """ 10~ ~ ~<AVCnJ ~t

Zn + H2S04--;;. ZnS04 + H2 4t7(/.j)A- ~ ~a.1t..> BWLfi'W?J nh"~"'<-t>ow PM~ C. Zinc is oxidized and hydrogen is reduc~d1 D 1~<. ~t A. Zinc is oxidized only

B. Zinc is reduced only D. Zinc is reduced and hydrogen is oxidized

50. What is the mass in grams of 1 liters of carbon monoxide (CO) at standard temperature and pressure? The MWof CO is 28 g/mole. At STP, 1 mole of any gas occupies a volume of 22.4 liters? r v ~ ..!:-- 1£ 1 M

~ ~·~; g c. 1.45 g IY\ ~ rv M =~t-"1) c~c·~-~ )~ ~5(wcol) .. g D. 1.20g f2.T Ci-'-'~'Z-f ~ \ (Oh7"11)j,;

>1foO I - \£-.- ! ;""\ ~ 1· %~,

,-- * Please submit this test question set together with the answer sheet to your watchers.

GOOD LUCK Ill

-- -- -- -- ~-

( Tt"11e Uit:~m•art:e E=E~ Review Center )

REGISTERED ELECTRICAL ENGINEER Pre-Board Examination Sunday August 22, 2010 8:00a.m. -12:00 n.n.

ELECTRICAL ENGINEERING SET- B

INSTRUCTION : Select the correct answer for each cf 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. A series RLC circuit has 1 ohm resistance, 0.5 H inductance and 0.5 F capacitance. What is the resulting transient current? A Undamped case B. Overdamped case

C. Critically damped case P~ Underdamped case

2. Two single phase transformers are connected open delta bank is supplying a balanced three phase load of 64.95 'rWA. What is the Kva load of each transformer? }>. 37.5 C. 32.5 B. 25 D. 30

3. At a de steady state, capacitor looks like a/an circuit and an inductor looks like alan . circuit.

I. Grounded II. Short Ill. Open

A I and II C. Ill and II B. II and II D. Ill and Ill

4. Calculate the efficiency of a 230 Volt shunt motor from the following data : Input current is 33 Amp, balance reading is 12 lbs., brake arm is 3ft long & Speed is 1200 rpm. A. 83% C. 86% B. 81% D. 85%

5. ~ Suppose that you wish to fabricate a uniform wire out of 1. 0 gram of copper. The resistance of wire is to be 0.5 ohm and if all of the copper are to be used, what will be the diameter of wire? Resistivity is 1. 7x1 o-8 ohm-meter and mass density is 8.92x1 03kg/m3 r- ~ fb. ""' * )_ ~ '- ~ .Y

J\ -')V A

A 270 f.1l11 C. 290 pm f2-" f ~ c~ o-vool ~ B. 280 pm D. 280 pm ,.p/ '6-CJ--xw ¥ofo,~ -- A 'l-" .:£!_ v '0- o. 111/ X<IF(p \ll'JJ

12-

6. A 25 km three phase transmission line is composed of conductors 500 mils in diameter are arrange in triangular formation 6m apart. Calculate the capacitance per phase in micro-farad. A 0.3095 B. 0.6067

£. 0.2027 D. 0.9154

7. A short three phase transmission line delivers 10kVA at receiving end line voltage of 240 volts rms. The impedance of the line is 0.1 +j0.2 ohms. What is the receiving power factor so that the voltage regulation is zero? ..,{>(.C v.;,,vtv i f>f-iG. ~~ A 0.866 C. 0.885 /'1 '1:'\"'u. Vs.~ .,. V(LN /

R o.a74 o. o.a75 df~r~~'-~a.- 1\. ~-~-- fv"~ ""IIi .·~ot:{lk.s i ~ ji.J• .stJ e ell--"' ~ 199 -f -e-~ ;g:rL ![ __ · e~~"

- ' {)I'-=- 'l.-7. '9) " Vr-.;

8. A generator 15 MVA, 11kVwith 10% reactance in parallel with 10 MVA, 11kVwith 10% reactance are connected to a transformer 15 MVA 11/66 kV with 6% reactance. Using transformer rating as base values, find the per unit current for a three phase fault at the transformer secondary. A 14.44 C. 8.33 B. 6.97 D. 5.55

9. The positive, negative and zero sequence reactance's of a 20 MVA, 13.2KV Synchronous generator are 0.4 pu, 0.3 pu, and 0.2 p.u respectively .The generator is solidly grounded and is not loaded. A line to ground fault occurs at the generator terminals, determine the fault current. A 1.57 p.u. B. 3.33 p.u.

C. 5.67 p.u. D. 4.29 p.u.

1 O.ln a delta-wye connected 15 MVA, 33/11 kV step-up transformer, Determine the CT ratio for differential protection such that the circulating current (through the transformer delta) does not exceed 5 A A 1200:5 B. 800:5 ~-

C. 500:5 D. 400:5

11. Three parallel three phase loads are supplied from 208 V rms, 60 Hz three phase supply. The loads are as follows: s, "' s~ t-s ~ +- s,e-Load A 24 kW at 0.8 lagging power factor Load 8: 1 0 KW at unity power factor Load C: 34 kVA at o.6 power factor leading. Calculate the total line current. A 153A C. 88.4 B. 196A D. 113A

12. Basically lightning arrester is a .& Surge diverter B. Surge reflector

C. Surge alternator D. Surge absorber

13. A lighting fixture is 75 em above an object. By how much be lowered to double the illumination at the object. A 53.03 em .§_. 21.97 em

C. 37.5 em D. 45.27 em

14.A three phase induction motor is rated 2300 V, 111A and 0.75 power factor. What is the size of the capacitor in kVAR which must be place in parallel with the circuit to improve the power factor to 90% lagging? (SJc.- ~ .P [ ~ &~0 - ~~'-le-W~ A141.9 C.131.7 B. 243.6 D. 126.9

15. A single span of transmission line is 158m in length, the supporting structures being level. The conductors have cross section of 1.55 sq em and weighs 0.8 kg per meter. Find the sag which must be allowed, if the tension is not to exceed one-fifth of the ultimate strength 4000 kg per sq em. ~ 2.01m B. 1.20m

C. 3.02m D. 5.02m

16.1t is desired to improve the power factor of a load 99.'16 kVa, 82% power factor lagging. Determine the capacitor ·kVar to improve the power factor to unity A 25.8 kvar C. 47.2 kVar B. 96.1 kVar Q; 57.1 kVar

17. What is the type of communication that only one of the two party can transmit at a time? A Full duplex B. Half duplex

C. Bicomm D. Simplex

18. A switchgear is a device used for A Interrupting an electrical circuit B. Switching an electrical circuit C. Switching and controlling an electrical Circuit D. Switching, controlling and protecting an electrical Circuit and equipment.

19. A Shunt motor is taking 11 kW at 220 volts at full load has armature resistance of 0.2 ohm and field resistance of 110 ohm. At no load current is 5 amperes at 1000 rpm. Find the full load speed. A 1043 rpm B. 1022 rpm

Q. 959 rpm D. 976 rpm

20.A three-phase circuit, 60Hz, 345 kV transposed transmission line is composed of 1272 MCM, 54/19 conductors per phase with horizontal spacing of 35 ft, 35 ft. and 70 ft respectively. If the GMR of the ACSR conductors is 14.2mm, find the inductance in mH/km per phase of the transmission line? A 1.37 . C. 1.28 B. 1.98 D. 1.64

21. Buchholz relay cannot be used on A Three phase transformer B. 500 KV transformer

g. Air cooled transformer D. 1 OOOkV transformer

22. The 3-phase power center is to be served at 230 kV, the power center will include a high side (primary) circuit breaker, a 50 MVA, 230/69 kV transformer with 5 % impedance, and a main circuit breaker. If the service point has a short circuit capacity of 1000 MVA, what is the interrupting duty at 3 cycles of the main secondary circuit breaker? """'l\-Y fli~ "' ,_e. 8. 5.5 kA C. 7.5 kA B. 6.5 kA D. 4.5 kA

23. A generator armature with 1000 turns rotates at 60 revolution per second across a pair of pole with a flux density of 0.2 Tesla. Tl1e pole face has an area of 0.1 sq m. Find the induced emf. tt ~ 1> f' ¢F 10 :--• > "!' A 3. 97 kV C. 7. 95 kV vw o..-

B. 2.4 kV D. 9.3 kV

24. What type of conduit bend is used in modern lighting fixture? A Corner bend C. Saddle Bend B. Offset bend D. Gooseneck -

25. A transmission line at river crossing is supported from two towers at height 40m and 90m above water level. The horizontal distance between the towers is 300m. If the (,\} ><,-,.-maximum tension in the conductor is not to exceed 1590 kg, find the clearance ~ ~ ~ between conductor and water midway between supports. Weight of conductor is 0.8 ~ .,_(o-<~>)ct'b/.21]~-

. ' ~(1(""'!0)

kg/m f-i~"~"'-'~ ~ \< -:-I.. __ itt_k_ UJ,"' <a-t~ W1

A 49m C. 39.5m -dl ' -;, .WL- ~/"-40-{l_'lo!j . tfON! n-d IS") 0 I ,

B. 5.9m 12· 59m :: . ( __ ~ ~:- ::>i}y~;~ ~."" ?11•7 4-W\

I<(- ··"?Oi>IM __ j .><,:::- 1/!>/. n·,.,..

26. A delta connected load has a per phase impedance of 10 +j 10 ohms. It is supplied by a wye connected balance source through a 3-phase line with 1.0 ohm resistance and 1.0 ohms inductive reactance. The voltage sequence is given by Va=120/-30° Vb=120/-150° Vc=120/90°. What is the line A current? A 13.86+j13.86 A C. 5.07-j18.93 A B. 13.86~j13.86 A D. ~18.93+j5.07 A

27. Which power plant can have a single unit up to 1 OOMW? A Hydro electric Power Plant C. Steam Power Plant B. Diesel Power Plant D. Nuclear Power Plant -

28. Two similar charges of 250 state are situated on small spheres 15 em apart. What is the potential at point midway between the spheres? .. &

A. 16.7 statV .C.. 66.7 statV vr = v'P !'--- ~ T = ·

B. 25 statV D. 33.3 statV v1

.,. '2.- t 1 c 'Z-61:1 'tc<}G \ j , f.J.'-e-7 s~t-v (; T~~ J

29, What is full load efficiency of power transformer? A 85% ~ 98%. B. 90% D. 84%

30. If a tropical storm is going to the Philippine area of responsibility within 24 hours, what kind of alert to be raised in accordance to Philippine Distribution Code? A Blue Alert C. Weather Disturbance alert B. Yellow alert D. Red alert

31. Three resistors are connected in series across 240 volts de source draw 4 amperes. If VR1=60 volts, R2=1.5 R3. What is R3? A 16 B. 18

C. 27 D. 24

32. An ideal transformer has a voltage rating of 2300/230 volts, a motor is connected to the secondary draws 30 A at 200 volts, what resistance must be connected to maintain this voltage? A. 0.67 ohm 8. 1.0 ohm

C. 0.75 ohm D. 10 ohms

33. What is the power factor of potential transformer? A. 0.97 C. 0.98 B. 0.95 D. 0.99

34. The tungsten filament lamp has its filament wire of length 3.89 em and 0.01 mm in diameter. The resistivity is 5.55x10-8 ohm-meter at 20°C .. What is the resistance at 20°C. A 15 ohms B. 27.5 ohms

35. What is the insulation test voltage used?

C. 20 ohms D. 60 ohms

A.1000 volts Q. 500 volts B. 600 volts D. 250 volts

36. What is the name of Ratio in a transformer A Polarization Ratio C. Neutralization Ratio B. Myers Index .Q. Transformer turn ratio

37. Where a ground fault Circuit Interrupter (GFCI) should be installed? I. Garage II. Bathroom Ill. Outside IV. Dining Room 7\J>~I (..lrfi..V ['*VIvr ctq; \1Jftl(!AI'Pt~)

V. Guest Room 8,. 1,11,111 B.I,IV,V

C.I,II,V D. I,III,IV

38. What is the type of relay that detect excessive current? A. Differential Relay ~ Overcurrent Relay B. Reverse current Relay D. Overvoltage Relay

39. A Hermetic motor-compressor has 80 A full load current. What is the rating of disconnecting means? vVl""tFrli·er ''- I-ts­

A 92A C. BOA -B. tOOA D. 200A

('lM% OF) (:t'leo;.t FJ~XJ 1

teo% ?F ; e?<~ 7°% DF-)

40. Electric Discharge lamp of 150A and a 250A incandescent I?Jmp is supplied rom a single phase 3 wire system. What is the neutral current? A 1 OOA _Q_. 385A B. 400A D. 425A -

41. Three inductors L1=20mH, L2=20mH and l3=40mH are connected in parallel, Determine the equivalent inductance. A 8mH -B. 12mH

42. What is the main purpose of Fuse? A Protect the line B. Protect the load

43. Find the Connection of capacitors 1

micro-farad. A C1 & C2 in parallel, series w/ C3

· B. All in parallel

C. 24mH D. 36mH

C. Protect appliances Q., limit the excessive current

J1 F, 3p F & 4p F needed to have a total of 2

C. C1 & C3 in parallel, series w/ C2 D. ali in series

44. Four 3 pCoul spheres are in corner of a square 1 em on sides. Find the force in Newton? ~ o'V t ,_ ~t- ~"' A 15.5x10-1° C. 4.05x10-10 r-- f 3 + d-v ·1:r. 8.1x1o·10 D. 20.25x10-10 ~ .. f~= ~<-~ 4)<l0.,

r,,. f.,_;

45. Equal amount of electrons are placed in two spheres 3 em apart in air. If the resultant 'VlpL

rt.o-of"-le..:.f.nr,., o:: .~ ti'"le.-j l-uX /e-

force is 4 KN, How many electrons does each spheres contain? ri" A 1.47x1 014 ..c. 1.25x1 014

.o\lt"-1 ~ CfXlO ") -- '"' 14 14 (6XLb '"\

B. 1.33x10 D. 1.4x10 & __ :J.n,u.CJ. c lf

"" J.7SX t0-'1. --46.1f a force of 4.8x1 o·2 N is required to move a 40 p C charge in an electric field

between the two points 20 em apart. What is the potential difference between two points?. v::: ";:!!. =- .f.L _ i· 0 ""11)- '£.._~·~'2-"") .A 240 Volts C. 120Volts G ~ - io re-

I/-=.. -z,.}O...) ~ B. 160 volts D. 200 volts ~

47. What will happen to the time constant if capacitance is increased? A decrease C. double B. increase D. constant

48.1n a balance three phase voltage, Van=110/30, What is Vbc using ABC sequence? A 95.2-j165 C. 95.3+j165 8. -95.2+j165 D. -190.53+j0

49. Evaluate the value of aj+1 A -0.866-jO.S B. 1.866-j0.5

50. Evaluate the value of aj+a2

A -1.366-j1.366 B. -1.366+j1.366

C. 1 +jO D. 0.134-jO.S -C. 1.366-j1 .366 D. ! .366+j 1.366

GOOD LUCK!!!