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# MCQ in DC Circuits Part 10 | REE Board Exam

This is the Multiple Choice Questions Part 10 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 10 of the Series

NETWORK THEOREMS

Choose the letter of the best answer in each questions.

451.ย  The value of Rth in Fig. 3.4(b) is ____.

A.ย  15 ฮฉ

B.ย  3.5 ฮฉ

C.ย  6.4 ฮฉ

D.ย  7.4 ฮฉ

Solution:

452.ย  Theย  open-circuitedย  voltageย  atย  terminalsย  ABย  inย  Fig. 3.4(a) is

A.ย  12 V

B.ย  20 V

C.ย  24 V

D.ย  40 V

Solution:

453.ย  For transfer of maximum power in the circuit shown in Fig. 3.4(a), the value of RL should be ____.

A.ย  3.5 ฮฉ

B.ย  6.4 ฮฉ

C.ย  7.4 ฮฉ

D.ย  15 ฮฉ

Solution:

454.ย  Fig. 3.5(b) shows Nortonโs equivalent circuit of Fig. 3.5(a). The value of RN is ____.

A.ย  5 ฮฉ

B.ย  4.5 ฮฉ

C.ย  10.5 ฮฉ

D.ย  none of these

Solution:

455.ย  The value of IN in Fig. 3.5(b) is ____.

A.ย  3 A

B.ย  1 A

C.ย  2 A

D.ย  none of these

Solution:

456.ย  Theveninโsย  theoremย  isย  ____ย  formย  on an equivalent circuit.

A.ย  voltage

B.ย  current

C.ย  both voltage and current

D.ย  none of these

Solution:

457.ย  Nortonโs theorem is ____ Theveninโs theorem.

Aย ย  the same as.

B.ย  converse of

C.ย  equal to

D.ย  none of these

Solution:

458.ย  Inย  theย  analysisย  ofย  aย  vacuumย  tubeย  circuit,ย  we generally use ____.

A.ย  superposition

B.ย  Nortonโs

C.ย  Theveninโs

D.ย  reciprocity

Solution:

459.ย  Nortonโsย  theoremย  isย  ____ย  formย  ofย  anย  equivalent circuit

A.ย  voltage

B.ย  current

C.ย  both voltage and current

D.ย  none of these

Solution:

460.ย  Inย  theย  analysisย  ofย  aย  transistorย  circuit,ย  weย  generally use ____.

A.ย  Nortonโs

B.ย  Theveninโs

C.ย  reciprocity

D.ย  superposition

Solution:

461.ย  Fig.ย  3.6(a)ย  showsย  Nortonโsย  equivalentย  circuitย  ofย  a networkย  whereasย  Fig.ย  3.6(b)ย  showsย  itsย  Theveninโs equivalent circuit. The value of Vth is ____.

A.ย  1.5 V

B.ย  0.866 V

C.ย  3 V

D.ย  6 V

Solution:

462.ย  The value of Rth in Fig. 3.6(b) is ____.

A.ย  3 ฮฉ

B.ย  2 ฮฉ

C.ย  1.5 ฮฉ

D.ย  6 ฮฉ

Solution:

463.ย  If in Fig. 3.6(a), the value of INย  is 3 A, then value of Vth in Fig. 3.6(b) will be ____.

A.ย  1 V

B.ย  9 V

C.ย  5 V

D.ย  none of these

Solution:

464.ย  For maximum power transfer, the relation between load resistance RLย  and internal resistance Riย  of the voltage source is ____.

A.ย  RL = 2Ri

B.ย  RL = 0.5Riย

C.ย  RL = 1.5Ri

D.ย  RL = Ri

Solution:

465.ย  Underย  theย  conditionsย  ofย  maximumย  powerย  transfer, the efficiency is ____.

A.ย  75%

B.ย  100%

C.ย  50%

D.ย  25%

Solution:

466.ย  The open-circuited voltage at terminals of load RL is 30ย  Vย  Underย  theย  conditionsย  ofย  maximumย  power transfer, the load voltage would be ____.

A.ย  30 V

B.ย  10 V

C.ย  5 V

D.ย  15 V

Solution:

467.ย  Theย  maximumย  powerย  transferย  theoremย  isย  usedย  in ____.

A.ย  electronic circuits

B.ย  power system

C.ย  home lighting circuits

D.ย  none of these

Solution:

468.ย  Under the conditions of maximum power transfer, a voltage source is delivering a power of 30 W to the load. The power generated by the source is ____.

A.ย  45 W

B.ย  30 W

C.ย  60 W

D.ย  90 W

Solution:

469.ย  Forย  theย  circuitย  shownย  inย  Fig.ย  3.7,ย  theย  power transferredย  willย  beย  maximumย  whenย  RLย  isย  equalย  to _____.

A.ย  4.5 ฮฉ

B.ย  6 ฮฉ

C.ย  3 ฮฉ

D.ย  none of these

Solution:

470.ย  Theย  open-circuitedย  voltageย  atย  terminalsย  ABย  inย  Fig. 3.7 is ____.

A.ย  12 V

B.ย  6 V

C.ย  15 V

D.ย  9.5 V

Solution:

471.ย  Ifย  inย  Fig.ย  3.7,ย  theย  valueย  ofย  RLย  =ย  6ย  ฮฉ,ย  thenย  current through RL is ____.

A.ย  2 A

B.ย  1.5 A

C.ย  1.75 A

D.ย  1 A

Solution:

472.ย  Underย  theย  conditionsย  ofย  maximumย  powerย  transfer, the voltage across RL in Fig. 3.7 is ____.

A.ย  6 V

B.ย  4 V

C.ย  9 V

D.ย  12 V

Solution:

473.ย  The output resistance of a voltage source is 4 ฮฉ. Its internal resistance will be ____.

A.ย  4 ฮฉ

B.ย  2 ฮฉ

C.ย  1 ฮฉ

D.ย  infinite

Solution:

474.ย  Delta/starย  ofย  star/deltaย  transformationย  techniqueย  is applied to _____.

A.ย  one terminal

B.ย  two terminal

C.ย  three terminal

D.ย  none of these

Solution:

475.ย  Kirchhoffโs current law is applicable to only

A.ย ย  closed loops in a network

B.ย  electronic circuits

C.ย  conjunctions in a network

D.ย  electric circuits

Solution:

476.ย  Kirchhoffโs voltage law is concerned with

A.ย  IR drops

B.ย  battery e.m.f.s.

C.ย  junction voltages

D.ย  both A and B

Solution:

477.ย  According to KVL, the algebraic sum of all IR drops andย  e.m.f.sย  inย  anyย  closedย  loopย  ofย  aย  networkย  is always

A.ย  zero

B.ย  positive

C.ย  negative

D.ย  determined by the battery e.m.f.s

Solution:

478.ย  Theย  algebraicย  signย  ofย  anย  IRย  dropย  isย  primarily dependent upon the

A.ย  amount of current flowing through it

B.ย  value of R

C.ย  direction of current flow

D.ย  battery connection

Solution:

479.ย  Maxwellโsย  loop currentย  methodย  of solvingย  electrical networks

A.ย  uses branch currents

B.ย  utilizes Kirchhoffโs voltage law

C.ย  is confined to single-loop circuits

D.ย  is a network reduction method

Solution:

480.ย  Pointย  outย  theย  WRONGย  statement.ย  Inย  theย  node-voltageย  techniqueย  ofย  solvingย  networks,ย  choiceย  ofย  a reference node does not

A.ย  affect the operation of the circuit

B.ย  change the voltage across any element

C.ย  alter the p.d. between any pair of nodes

D.ย  affect the voltages of various nodes

Solution:

481.ย  Theย  nodalย  analysisย  isย  primarilyย  basedย  onย  the application of

A.ย  KVL

B.ย  KCL

C.ย  Ohmโs Law

D.ย  both B and C

Solution:

482.ย  Superpositionย  theoremย  isย  canย  beย  appliedย  onlyย  to circuits having ____ elements.

A.ย  non-linear

B.ย  passive

C.ย  linear bilateral

D.ย  resistive

Solution:

483.ย  The Superposition theorem is essentially based on the concept of

A.ย  duality

B.ย  linearity

C.ย  reciprocity

D.ย  non-linearity

Solution:

484.ย  While Thevenizing a circuit between two terminals, Vth equals

A.ย  short-circuit terminal voltage

B.ย  open circuit terminal voltage

C.ย  EMF of the battery nearest to the terminal

D.ย  net voltage available in the circuit

Solution:

485.ย  Thevenin resistance Rth is found

A.ย  between any two โopenโ terminals

B.ย  by short-circuiting the given two terminals

C.ย ย  byย  removingย  voltageย  sourcesย  alongย  withย  their internal resistance

D.ย  between same open terminals as for Vth

Solution:

486.ย  Whileย  calculatingย  Rth,ย  constant-currentย  sourcesย  in the circuit are

A.ย  replaced by โopensโ

B.ย  replaced by โshortsโ

C.ย  treated in parallel with other voltage sources

D.ย  converted into equivalent voltage sources

Solution:

487.ย  Thevenin resistance of the circuit ofย  Fig. 2.1 across its terminals A and B is ____ ohm.

A.ย  6

B.ย  3

C.ย  9

D.ย  2

Solution:

488.ย  Theย  loadย  resistanceย  neededย  toย  extractย  maximum power from the circuit of Fig. 2.2 is ____ ohm.

A.ย  2

B.ย  9

C.ย  6

D.ย  18

Solution:

489.ย  The Norton equivalent circuit for the network of Fig. 2.2ย  betweenย  Aย  andย  Bย  isย  ____ย  currentย  sourceย  with parallel resistance of ____.

A.ย  2 A, 6 ฮฉ

B.ย  3 A, 2 ฮฉ

C.ย  2 A, 3 ฮฉ

D.ย  3 A, 9 ฮฉ

Solution:

490.ย  The Norton equivalent of a circuit consists of a 2 A currentย  sourceย  inย  parallelย  withย  aย  4 ฮฉย  resistor. Theveninย  equivalentย  ofย  thisย  circuitย  isย  aย  ____ย  volt source in series with a 4 ฮฉ resistor.

A.ย  2

B.ย  0.5

C.ย  6

D.ย  8

Solution:

491.ย  Ifย  twoย  identicalย  3ย  A,ย  4ย  ฮฉ Nortonย  equivalentย  circuits areย  connectedย  inย  parallelย  withย  likeย  polarityย  toย  like, the combined Norton equivalent circuit is

A.ย  6 A, 4 ฮฉ

B.ย  6 A, 2 ฮฉ

C.ย  3 A, 2 ฮฉ

D.ย  6 A, 8 ฮฉ

Solution:

492.ย  Twoย  6ย  V,ย  2ย  ฮฉ batteriesย  areย  connectedย  inย  series aiding.ย  Thisย  combinationย  canย  beย  replacedย  byย  a singleย  equivalentย  currentย  generatorย  ofย  ____ย  withย  a parallel resistance of ____ ohm.

A.ย  3 A, 4 ฮฉ

B.ย  3 A, 2 ฮฉ

C.ย  3 A, 1 ฮฉ

D.ย  5 A, 2 ฮฉ

Solution:

493.ย  Twoย  identicalย  3ย  A,ย  1ย  ฮฉ batteriesย  areย  connectedย  in parallelย  withย  likeย  polarityย  withย  likeย  polarityย  toย  like. The Norton equivalent circuit of the combination is

A.ย  3 A, 0.5 ฮฉ

B.ย  6 A, 1 ฮฉ

C.ย  3 A, 1 ฮฉ

D.ย  6 A, 0.5 ฮฉ

Solution:

494.ย  Thevenin equivalent circuit of the network shown in Fig.ย  2.3ย  isย  required.ย  Theย  valueย  ofย  theย  open-circuit voltageย  acrossย  terminalsย  aย  andย  bย  ofย  thisย  circuitย  is ____ volt.

A.ย  zero

B.ย  2i/10

C.ย  2i/5

D. 2i/15

Solution:

495.ย  Forย  aย  linearย  networkย  containingย  generatorsย  and impedance,ย  theย  ratioย  ofย  theย  voltageย  toย  theย  current producedย  inย  otherย  loopย  isย  theย  sameย  asย  theย  ratioย  of voltage andย  current obtained when the positions of the voltage source and the ammeter measuring the currentย  areย  interchanged.ย  Thisย  networkย  theoremย  is known as ____ theorem.

A.ย  Millmanโs

B.ย  Nortonโs

C.ย  Tellegenโs

D.ย  Reciprocity

Solution:

496.ย  Aย  12ย  voltย  sourceย  withย  anย  internalย  resistanceย  ofย  1.2 ohmsย  isย  connectedย  acrossย  aย  wire-woundย  resistor. Maximumย  powerย  willย  beย  dissipatedย  inย  theย  resistor when its resistance is equal to

A.ย  zero

B.ย  1.2 ohm

C.ย  12 ohms

D.ย  infinity

Solution:

497.ย  Three 3.33 ฮฉย  resistors are connected in wye. What is the value of the equivalent resistors connected in delta?

A.ย  3.33 ฮฉ

B.ย  10 ฮฉ

C.ย  6.67 ฮฉ

D.ย  20 ฮฉ

Solution:

498.ย  Find the equivalent resistance between terminals a &ย  bย  ofย  theย  circuitย  shown.ย ย  Eachย  resistanceย  hasย  a value of 1 ohm.

A.ย  5/6 ohms

B.ย  5/11 ohms

C.ย  5/14 ohms

D.ย  5/21 ohms

Solution:

499.ย  What do you call the head to tail connection of two or more op-amp circuits wherein the output of one op-amp is the input of another op-amp?

A.ย  Parallel Op-Amps

B.ย  Follow-Thru Connection

D.ย  Series Op-Amps

Solution:

500.ย  Find the power dissipation in the 6 ohms resistor in the next figure.

A.ย  54 W

B.ย  216 W

C.ย  121.5 W

D.ย  150 W

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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