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# MCQ in DC Circuits Part 9 | REE Board Exam

This is the Multiple Choice Questions Part 9 of the Series in DC Circuits as one of the Electrical Engineering topic. In Preparation for the REE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including but not limited to past Board Exam Questions in Electrical Engineering field, Electrical Engineering Books, Journals and other Electrical Engineering References.

#### Continue Practice Exam Test Questions Part 9 of the Series

NETWORK THEOREMS

Choose the letter of the best answer in each questions.

401.ย  The central terminal of a dry cell is said to be

A.ย  positive

B.ย  negative

C.ย  neutral

D.ย  charged

Solution:

402.ย  Aย  24ย  Vย  batteryย  ofย  internalย  resistanceย  rย  =ย  4ย  โฆย  is connectedย  toย  aย  variableย  resistanceย  R,ย  theย  rateย  of heatย  dissipationย  inย  theย  resistorย  isย  maximumย  when theย  currentย  drawnย  fromย  theย  batteryย  isย  I.ย  Current drawn from the battery will be I/2 when R is equal to

A.ย  8 โฆ

B.ย  12 โฆ

C.ย  16 โฆ

D.ย  20 โฆ

Solution:

403.ย  Whatย  isย  theย  otherย  termย  usedย  forย  rechargeable battery?

A.ย  primary

C.ย  storage

Solution:

E.ย ย  NETWORK THEOREMS

404.ย  REE Board Exam April 1997

Aย  circuitย  consistingย  ofย  threeย  resistorsย  rated:ย  10 ohms,ย  15ย  ohmsย  andย  20ย  ohmsย  areย  connectedย  in delta.ย  Whatย  wouldย  beย  theย  resistanceย  ofย  the equivalent wye connected load?

A.ย  0.30, 0.23 & 0.15 ohm

B.ย  3.0, 4.0 & 5.0 ohms

C.ย  3.33, 4.44 & 6.66 ohms

D.ย  5.77, 8.66 & 11.55 ohms

Solution:

405.ย  EE Board Exam October 1994

Theย  equivalentย  wyeย  element ofย  aย  3ย  equal resistors each equal to R and connected in delta is

A.ย  R

B.ย  3R/2

C.ย  R/3

D.ย  3R

Solution:

406.ย  EE Board Exam April 1988

A Barangay power station supplies 60 kW to a load overย  2,500ย  ft,ย  100ย  mm2,ย  two-conductorย  copper feeder,ย  theย  resistanceย  ofย  whichย  isย  0.078ย  ohmย  per 1000 ft. The bus bar voltage is maintained constant at 600 V. Determine the load current.

A.ย  105 A

B.ย  108 A

C.ย  110 A

D.ย  102 A

Solution:

407.ย  EE Board Exam October 1986

Anย  LRTย  car,ย  5ย  kmย  distanceย  fromย  theย  Tayuman station,ย  takesย  100ย  Aย  overย  aย  100ย  mmย  hardย  drawn copperย  trolleyย  wireย  havingย  aย  resistanceย  ofย  0.270 ohmย  perย  km.ย  Theย  railย  andย  groundย  returnย  hasย  a resistance of 0.06 ohm per km. If the station voltage is 750 V, what is the voltage of the car?

A.ย  585 V

B.ย  590 V

C.ย  595 V

D.ย  580 V

Solution:

408.ย  EE Board Exam April 1989

The LRT trolley system 10 miles long is fed by two substationsย  thatย  generateย  600ย  voltsย  andย  560ย  volts, respectively. The resistance of the trolley wire and rail return is 0.3 ohm per mile. If the car is located 4 miles from the 600 volt station draws 200 A from the line.ย  Howย  muchย  isย  theย  currentย  suppliedย  byย  each station?

A.ย  133.33 A, 66.67 A

B.ย  123.67 A, 76.33 A

C.ย  117.44 A, 82.56 A

D.ย  125.54 A, 63.05 A

Solution:

409.ย  EE Board Exam April 1992

In Manila, the LRT runs between Gil Puyat Station andย  Tayumanย  Station,ย  whichย  isย  4ย  kmย  apartย  and maintainsย  voltagesย  ofย  420ย  voltsย  andย  410ย  volts respectively. The resistance of go and return is 0.05 ohm per km. The train draws a constant current of 300ย  Aย  whileย  inย  motion.ย  Whatย  areย  theย  currents suppliedย  byย  theย  twoย  stationsย  ifย  theย  trainย  isย  atย  the distance of minimum potential?

A.ย  175 A, 125 A

B.ย  183 A, 117 A

C.ย  164 A, 136 A

D.ย  172 A, 123 A

Solution:

410.ย  EE Board Exam October 1986

Anย  LRTย  car,ย  5ย  kmย  distanceย  fromย  theย  Tayuman station,ย  takesย  100ย  Aย  overย  aย  100ย  mmย  hardย  drawn copperย  trolleyย  wireย  havingย  aย  resistanceย  ofย  0.270 ohmย  perย  km.ย  Theย  railย  andย  groundย  returnย  hasย  a resistance of 0.06 ohm per km. If the station voltage is 750 V, what is the efficiency of transmission?

A.ย  78%

B.ย  81%

C.ย  74%

D.ย  79%

Solution:

411.ย  EE Board Exam April 1988

A barangay powerย  station supplies 60 kW to a load overย  2,500ย  ftย  ofย  0002-conductorย  copperย  feederย  the resistance of which is 0.078 ohm per 1,000 ft. The bus bar voltage is maintained constant at 600 volts. Determineย  theย  maximumย  powerย  whichย  canย  be transmitted.

A.ย  220.35 kW

B.ย  230.77 kW

C.ย  242.73 kW

D.ย  223.94 kW

Solution:

412.ย  EE Board Exam April 1991

Twelve similar wires each of resistance 2 ohms are connected so as to form a cube. Find the resistance between the two diagonally opposite corners.

A.ย  1.45 ohms

B.ย  1.66 ohms

C.ย  2.01 ohms

D.ย  1.28 ohms

Solution:

413.ย  EE Board Exam April 1991

Twelve similar wires each of resistance 2 ohms are connected so as to form a cube. Find the resistance between the two corners of the same edge.

A.ย  1.133 ohms

B.ย  1.102 ohms

C.ย  1.125 ohms

D.ย  1.167 ohms

Solution:

414.ย  EE Board Exam October 1991

Twelveย  identicalย  wiresย  eachย  ofย  resistanceย  6ย  ohms are arranged to form the edge of a cube. A current of 40 mA is led into the cube at one corner and out atย  the other diagonally oppositeย  corners.ย  Calculate theย  potentialย  differenceย  developedย  betweenย  these corners.

A.ย  0.20 V

B.ย  0.28 V

C.ย  0.22 V

D.ย  0.24 V

Solution:

415.ย  EE Board Exam August 1976

Find the value of the voltage V.

A.ย  12.34 V

B.ย  11.24 V

C.ย  12.19 V

D.ย  11.66 V

Solution:

416.ย  EE Board Exam April 1982

Referring to the circuit diagram below, if the charger voltageย  isย  130ย  volts and the batteryย  voltageย  isย  120 volts, solve for the current Ib.

A.ย  -0.215 A

B.ย  0.215 A

C.ย  -0.306 A

D.ย  0.306 A

Solution:

417.ย  EE Board Exam August 1977

In the figure below R1ย  = 1 ohm, R2ย  = 1 ohm, R3ย  = 3 ohms, I2 = 2 A and VB = 120 V. Find Eg.

A.ย  182.41 V

B.ย  153.32 V

C.ย  164.67 V

D.ย  157.22 V

Solution:

418.ย  EE Board Exam October 1980, April 1984

Inย  theย  dcย  circuitย  asย  shown,ย  theย  highย  resistance voltmeter gives a reading of 0.435 volt. What is the value of the resistance R?

A.ย  4 ohms

B.ย  5 ohms

C.ย  3 ohms

D.ย  2 ohms

Solution:

419.ย  EE Board Exam April 1980

Determine I in the figure.

A.ย  0.028 A

B.ย  0.010 A

C.ย  0.025 A

D.ย  0.014 A

Solution:

420.ย  ECE Board Exam April 1999

Inย  Kirchhoffโsย  currentย  law,ย  whichย  terminalย  ofย  a resistanceย  elementย  isย  assumedย  toย  beย  atย  aย  higher potential (more positive) than the other?

A.ย  Theย  terminalย  whereย  theย  currentย  exitsย  the resistance elements

B.ย  Theย  terminalย  whereย  theย  currentย  entersย  the resistance elements

C.ย  Either A or B can be arbitrarily selected

D.ย  Theย  terminalย  closestย  toย  theย  nodeย  being analyzed

Solution:

421.ย  ECE Board Exam April 2000

Accordingย  toย  Kirchhoffโsย  currentย  law,ย  whatย  isย  the algebraic sum of all currents entering and exiting a node.

A.ย  zero

B.ย  a negative value

C.ย  the algebraic sum of all currents

D.ย  a positive value

Solution:

422.ย  ECE Board Exam November 1997

Findย  theย  Theveninโsย  impedanceย  equivalentย  across R2 of a linear close circuit having 10 volts supply in series withย  the resistors (R1ย  =ย  100 ohms and R2 =200 ohms).

A.ย  6.66 ohms

B.ย  6.666 kohms

C.ย  66.6 ohms

D.ย  666 ohms

Solution:

423.ย  ECE Board Exam April 1999

What is a node?

A.ย  A terminal point for a loop current

B.ย  Aย  connectionย  pointย  betweenย  twoย  orย  more conductors

C.ย  A formula

D.ย  A mathematical fiction

Solution:

424.ย  ECE Board Exam November 1998

Ifย  aย  resistanceย  elementย  isย  partย  ofย  twoย  loops,ย  how manyย  voltageย  dropsย  mustย  beย  calculatedย  forย  that component?

A.ย  Two

B.ย  Three

C.ย  One

D.ย  None

Solution:

425.ย  ECE Board Exam April 1998

How many nodes are needed to completely analyze a circuit according to Kirchhoffโs current law?

A.ย  One

B.ย  Two

C.ย  One less than the total number of nodes in the circuit

D.ย  All nodes in the circuit

Solution:

426.ย  ECE Board Exam November 1996

Findย  theย  Theveninโsย  impedanceย  equivalentย  across R2ย  of a linear close circuit having 10 volt supply in series with two resistors (R1=50 ohms and R2 = 200 ohms).

A.ย  400 ohms

B.ย  40 ohms

C.ย  4 ohms

D.ย  4 kohms

Solution:

427.ย  ECE Board Exam November 1995

In order to match the load to the generator means making load resistance ______.

A.ย  lower than generatorโs internal resistance

B.ย  increasedย  toย  moreย  generatorโsย  internal resistance

C.ย  decreased

D.ย  equal to generatorโs internal resistance

Solution:

428.ย  Aย  circuitย  containsย  aย  5ย  Aย  currentย  sourceย  inย  parallel withย  anย  8ย  ohmย  resistor.ย  Whatย  isย  theย  Theveninโs voltage and Theveninโs resistance of the circuit?

A.ย  40 V, 8 ฮฉ

B.ย  5/8 V, 40 ฮฉ

C.ย  5 V, 8 ฮฉ

D.ย  5/8 V, 8 ฮฉ

Solution:

429.ย  In the Nortonโs equivalent circuit, the source is a

A.ย ย ย  constant voltage source

B.ย ย ย  constant current source

C.ย  constant voltage, constant current

D.ย  none of these

Solution:

430.ย  Theย  superpositionย  theoremย  requiresย  asย  many circuits to be solved as there are

A.ย ย ย  meshes

B.ย ย ย  source

C.ย  nodes

D.ย  all of these

Solution:

431.ย  Three resistors of 6-ohm resistance are connected inย  delta.ย  Insideย  theย  deltaย  anotherย  6-ohmย  resistors areย  connectedย  inย  wye. Findย  itsย  resistance between any two corners.

A.ย  2 ohms

B.ย  3 ohms

C.ย  4 ohms

D.ย  1 ohm

Solution:

432.ย  Aย  2-wireย  dcย  distributionย  lineย  hasย  sendingย  end voltageย  ofย  240ย  Vย  andย  totalย  lineย  resistanceย  ofย  0.4 ohm. The maximum kW that can be transmitted by the line is ____.

A.ย  108

B.ย  72

C.ย  36

D.ย  144

Solution:

433.ย  An active element in a circuit is one which ____.

B.ย  supplies energy

C.ย  both receives and supplies energy

D.ย  none of these

Solution:

434.ย  An passive element in a circuit is one which ____.

A.ย  supplies energy

C.ย ย  both receives and supplies energy

D.ย  none of these

Solution:

435.ย  An electric circuit contains ____.

A.ย  active elements only

B.ย  passive element only

C.ย  both active and passive elements

D.ย  none of these

Solution:

436.ย  Aย  linearย  circuitย  isย  oneย  whoseย  parametersย  (e.g. resistances etc.) ____.

A.ย  change with change in current

B.ย  change with change in voltage

C.ย ย  doย  notย  changeย  withย  changeย  inย  voltageย  and current

D.ย  none of these

Solution:

437.ย  In the circuit shown in Fig. 3.1, the number of nodes is ____.

A.ย  one

B.ย  two

C.ย  three

D.ย  four

Solution:

438.ย  Inย  theย  circuitย  shownย  inย  Fig.ย  3.1,ย  thereย  areย  ____ junctions.

A.ย  three

B.ย  four

C.ย  two

D.ย  none of these

Solution:

439.ย  The circuit shown in Fig. 3.1 has ____ branches.

A.ย  two

B.ย  four

C.ย  three

D.ย  none of these

Solution:

440.ย  The circuit shown in Fig. 3.1 has ____ loops.

A.ย  two

B.ย  four

C.ย  three

D.ย  none of these

Solution:

441.ย  Inย  theย  circuitย  shownย  inย  Fig.ย  3.1,ย  thereย  areย  ___ meshes.

A.ย  two

B.ย  three

C.ย  four

D.ย  none of these

Solution:

442.ย  To solve the circuit shown in Fig. 3.2 by Kirchhoffโs laws, we require ______.

A.ย  one equation

B.ย  two equations

C.ย  three equations

D.ย  four equations

Solution:

443.ย  Toย  solveย  theย  circuitย  shownย  inย  Fig.ย  3.2ย  byย  nodal analysis, we require ____

A.ย  one equation

B.ย  two equation

C.ย  three equations

D.ย  none of these

Solution:

444.ย  Toย  solveย  theย  circuitย  shownย  inย  Fig.ย  3.2ย  by superposition theorem, we require ____

A.ย  one circuit

B.ย  two circuits

C.ย  three circuits

D.ย  none of these

Solution:

445.ย  To solve the circuit shown in Fig. 3.2 by Maxwellโs mesh current equation, we require

A.ย  one equation

B.ย  three equations

C.ย  two equations

D.ย  none of these

Solution:

446.ย  In the circuit shown in Fig. 3.3, the voltage at node B wrt D is calculated to be 15 V. The current in the 3 ฮฉ resistor will be

A.ย  2 A

B.ย  5 A

C.ย  2.5 A

D.ย  none of these

Solution:

447.ย  The current in 2 ฮฉ horizontal resistor in Fig. 3.3 is ____.

A.ย  10 A

B.ย  5 A

C.ย  2 A

D.ย  2.5 A

Solution:

448.ย  Inย  orderย  toย  solveย  theย  circuitย  shownย  inย  Fig.ย  3.3ย  by nodal analysis, we require

A.ย  one equation

B.ย  two equation

C.ย  three equations

D.ย  none of these

Solution:

449.ย  The superposition theorem is used when the circuit contains

A.ย  a single voltage source

B.ย  a number of passive source

C.ย  passive elements only

D.ย  none of these

Solution:

450.ย  Fig.ย  3.4(b)ย  showsย  theย  Theveninโsย  equivalentย  circuit of Fig. 3.4(a). The value of Theveninโs voltage Vth is ____.

A.ย  20 V

B.ย  24 V

C.ย  12 V

D.ย  36 V

Solution:

#### Questions and Answers in DC Circuits

Following is the list of practice exam test questions in this brand new series:

MCQ in DC Circuits
PART 1: MCQ from Number 1 โ 50                Answer key: included
PART 2: MCQ from Number 51 โ 100            Answer key: included
PART 3: MCQ from Number 101 โ 150           Answer key: included
PART 4: MCQ from Number 151 โ 200           Answer key: included
PART 5: MCQ from Number 201 โ 250           Answer key: included
PART 6: MCQ from Number 251 โ 300           Answer key: included
PART 7: MCQ from Number 301 โ 350           Answer key: included
PART 8: MCQ from Number 351 โ 400            Answer key: included
PART 9: MCQ from Number 401 โ 450            Answer key: included
PART 10: MCQ from Number 451 โ 500          Answer key: included

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