This is the Multiple Choice Questions Part 11 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 11 of the Series

NETWORK THEOREMS

**Choose the letter of the best answer in each questions.**

โ MCQ in DC Circuits Part 10 | REE Board Exam

501.ย Determineย theย valueย ofย nodeย voltageย V_{2}.ย All resistances are in ohms.

A.ย 14 V

B.ย 12 V

C.ย 0 V

D.ย 1 V

Answer: **Option B**

Solution:

502.ย Whatย shouldย beย theย valueย ofย R soย theย resistorย will receive the maximum power? All resistances are in ohms.

A.ย 10.0 ohms

B.ย 3.875 ohms

C.ย 0.968 ohms

D.ย 1.60 ohms

Answer: **Option D**

Solution:

503.ย Determine the value V_{O}ย in the ideal op-amp circuit below.

A.ย -8 V

B.ย -6 V

C.ย -4 V

D.ย -3 V

Answer: **Option D**

Solution:

504.ย Determine the value V_{O} in the op-amp circuit below.

A.ย -4 V

B.ย -8 V

C.ย -2 V

D.ย -3 V

Answer: **Option C**

Solution:

505.ย If the voltage source (dependent or independent) is connectedย betweenย twoย non-referenceย nodes,ย the two non-reference nodes form a ______.

A.ย Common Node

B.ย Supernode

C.ย Complex Node

D.ย Reference node

Answer: **Option B**

Solution:

506.ย The theorem that states that โthe voltage across or current through an element in a linear circuit is the algebraicย sumย ofย theย voltagesย acrossย orย current throughย thatย elementย dueย toย eachย independent source acting aloneโ.

A.ย Superposition Theorem

B.ย Theveninโs Theorem

C.ย Nortonโs Theorem

D.ย Reciprocity Theorem

Answer: **Option A**

Solution:

507.ย Kirchhoffโs Current Law states that

A.ย theย algebraicย sumย ofย theย currentsย flowingย into any point in a circuit must equal zero

B.ย the algebraic sum of the currentsย entering and leaving any point in a circuit must equal zero

C.ย the algebraic sum of the currents flowing away from any point in a circuit must equal zero

D.ย theย algebraicย sumย ofย theย currentsย aroundย any closed path must equal zero

Answer: **Option B**

Solution:

508.ย When applying Kirchhoffโs Current Law,

A.ย consider all the currents flowing into a branch pointย positiveย andย allย currentsย directedย away from that point negative

B.ย considerย all theย currentsย flowingย intoย aย branch pointย negativeย andย allย currentsย directedย away from that point positive

C.ย rememberย thatย theย totalย ofย allย theย currents entering a branch point must always be greater than the sum of the currents leaving that point

D.ย the algebraic sum of the currents entering and leavingย aย branchย pointย doesย notย necessarily have to be zero

Answer: **Option A**

Solution:

509.ย Whenย applyingย Kirchhoffโsย Voltageย Law,ย aย closed path is commonly referred to as a

A.ย node

B.ย principal node

C.ย loop

D.ย branch point

Answer: **Option C**

Solution:

510.ย Kirchhoffโs Voltage Law states that

A.ย theย algebraicย sumย ofย theย voltageย sourcesย and IR voltage drops in any closed path must total zero

B.ย theย algebraicย sumย ofย theย voltageย sourcesย and IRย voltageย dropsย aroundย anyย closedย pathย can never equal zero

C.ย theย algebraicย sumย ofย allย theย currentsย flowing around any closed path must equal zero

D.ย none of these

Answer: **Option A**

Solution:

511.ย When applying Kirchhoffโs Voltage Law

A.ย consider any voltage whose positive terminal is reachedย firstย asย negativeย andย anyย voltage whoseย negativeย terminalย isย reachedย firstย as positive

B.ย always consider all voltage sources as positive and all resistor voltage drops as negative

C.ย considerย anyย voltageย whoseย negativeย terminal isย reachedย firstย asย negativeย andย anyย voltage whoseย positiveย terminalย isย reachedย firstย as positive

D.ย alwaysย considerย allย resistorย voltageย dropsย as positive and all voltage sources as negative

Answer: **Option C**

Solution:

512.ย The algebraic sum of +40 V and -30 V is

A.ย -10 V

B.ย +10 V

C.ย +70 V

D.ย -70 V

Answer: **Option B**

Solution:

513.ย A principal node is

A.ย a closed path or loop where the algebraic sum of the voltages must equal zero

B.ย theย simplestย possibleย closedย pathย aroundย a circuit

C.ย aย junctionย whereย branchย currentย canย combine or divide

D.ย none of these

Answer: **Option C**

Solution:

514.ย Howย manyย equationsย areย necessaryย toย solveย a circuit with two principal nodes?

A.ย 3

B.ย 2

C.ย 4

D.ย 1

Answer: **Option D**

Solution:

515.ย Theย differenceย betweenย aย meshย currentย andย a branch current is

A.ย aย meshย currentย isย anย assumedย currentย andย a branch current is an actual current

B.ย the direction of the current themselves

C.ย aย meshย currentย doesย notย divideย atย aย branch point

D.ย both A and B above

Answer: **Option D**

Solution:

516.ย Using the method of mesh currents, any resistance common to two meshes has

A.ย two opposing mesh currents

B.ย one common mesh current

C.ย zero current

D.ย none of these

Answer: **Option A**

Solution:

517.ย The fact that the sum of the resistor voltage drops equals the applied voltage in a series circuit is the basis for

A.ย Kirchhoffโs Current Law

B.ย node voltage analysis

C.ย Kirchhoffโs Voltage Law

D.ย the method of mesh currents

Answer: **Option C**

Solution:

518.ย Theย factย thatย theย sumย ofย theย individualย branch currents equals the total current in a parallel circuit is the basis for

A.ย Kirchhoffโs Current Law

B.ย node voltage analysis

C.ย Kirchhoffโs Voltage Law

D.ย the method of mesh currents

Answer: **Option A**

Solution:

519.ย Ifย youย doย notย goย completelyย aroundย theย loopย when applying Kirchhoffโs Voltage Law, then

A.ย theย algebraicย sumย ofย theย voltagesย willย always be positive

B.ย theย algebraicย sumย isย theย voltageย betweenย the start and finish points

C.ย theย algebraicย sumย ofย theย voltagesย willย always be negative

D.ย theย algebraicย sumย ofย theย voltagesย cannotย be determined

Answer: **Option B**

Solution:

520.ย A resistor is an example of a(n)

A.ย bilateral component

B.ย active component

C.ย passive component

D.ย both A and C

Answer: **Option D**

Solution:

521.ย Toย applyย Superpositionย theorem,ย allย components must be

A.ย the active type

B.ย both linear and bilateral

C.ย grounded

D.ย both nonlinear and unidirectional

Answer: **Option B**

Solution:

522.ย When converting from a Norton-equivalent circuit to a Thevenin equivalent circuit or vice versa

A.ย R_{N} and R_{TH} have the same value

B.ย R_{N} will always be larger than R_{TH}

C.ย I_{N} is shorted-circuit to find V_{TH}

D.ย V_{TH} is short-circuited to find I_{N}

Answer: **Option A**

Solution:

523.ย Whenย solvingย forย theย Theveninย equivalent resistance, R_{TH},

A.ย all voltage sources must be opened

B.ย all voltage sources must be short-circuited

C.ย allย voltageย sourcesย mustย beย convertedย to current sources

D.ย none of these

Answer: **Option B**

Solution:

524.ย Theveninโsย Theoremย statesย thatย anย entireย network connectedย toย aย pairย ofย terminalsย canย beย replaced with

A.ย a single current source in parallel with a single resistance

B.ย a single voltage source in parallel with a single resistance

C.ย aย single voltage sourceย inย seriesย withย a single resistance

D.ย aย singleย currentย sourceย inย seriesย withย aย single resistance

Answer: **Option B**

Solution:

525.ย Nortonโsย Theoremย statesย thatย anย entireย network connectedย toย aย pairย ofย terminalsย canย beย replaced with

A.ย a single current source in parallel with a single resistance

B.ย a single voltage source in parallel with a single resistance

C.ย aย single voltage sourceย inย seriesย withย a single resistance

D.ย aย singleย currentย sourceย inย seriesย withย aย single resistance

Answer: **Option A**

Solution:

526.ย Withย respectย toย terminalsย Aย andย Bย inย aย complex network, the Thevenin voltage, V_{TH}, is

A.ย theย voltageย acrossย terminalsย Aย andย Bย when they are short-circuited

B.ย the open-circuit voltage across terminals A and B

C.ย the same as the voltage applied to the complex network

D.ย none of these

Answer: **Option B**

Solution:

527.ย Withย respectย toย terminalsย Aย andย Bย inย aย complex network, the Norton current, I_{N}, is

A.ย theย current flowing between terminals A and B when they are open

B.ย the total current supplied by the applied voltage to the network

C.ย zeroย whenย terminalsย Aย andย Bย areย short-circuited

D.ย theย currentย flowingย terminalsย Aย andย Bย when they are short-circuited

Answer: **Option D**

Solution:

528.ย Whichย theoremย providesย aย shortcutย forย findingย the commonย voltageย acrossย anyย numberย ofย parallel branches with different sources?

A.ย The Superposition Theorem

B.ย Theveninโs Theorem

C.ย Nortonโs Theorem

D.ย Millmanโs Theorem

Answer: **Option D**

Solution:

529.ย A d.c. circuit usually has ____ as the load

A.ย Resistance

B.ย Capacitance

C.ย Inductance

D.ย both inductance and capacitance

Answer: **Option A**

Solution:

530.ย Electricalย appliancesย areย connectedย inย parallel because it ____.

A.ย is a simple circuit

B.ย draws less current

C.ย results in reduce in power loss

D.ย makes the operation of appliances independent of each other

Answer: **Option D**

Solution:

531.ย The purpose of load in an electric circuit is to ____

A.ย increase the circuit current

B.ย utilize electrical energy

C.ย decrease the circuit current

D.ย none of these

Answer: **Option B**

Solution:

532.ย A passive network has

A.ย ย ย no emf source

B.ย ย ย no current source

C.ย neither emf nor current source

D.ย none of these

Answer: **Option C**

Solution:

533.ย The relationship between voltage and current is the same for two opposite directions of current in case of

A.ย ย ย bilateral network

B.ย ย ย active network

C.ย unilateral network

D.ย passive network

Answer: **Option C**

Solution:

534.ย Which of the following statement is not correct?

A.ย ย ย voltage source is an active element

B.ย ย ย current source is a passive element

C.ย resistance is a passive element

D.ย conductance is a passive element

Answer: **Option B**

Solution:

535.ย A resistance R is connected across two batteries, A and B connected in parallel. The open circuit emfs and internal resistances of the batteries are 12 V, 2 ohmsย andย 8ย V,ย 1ย ohmย respectively.ย Determineย the ohmicย valueย ofย Rย ifย theย powerย absorbedย byย Rย is 7.656 watts.

A.ย 10 ฮฉ

B.ย 12 ฮฉ

C.ย 9 ฮฉ

D.ย 8 ฮฉ

Answer: **Option A**

Solution:

536.ย Aย networkย hasย 7ย nodesย andย 5ย independentย loops. The number of branches in the network is

A.ย 13

B.ย 12

C.ย 11

D.ย 10

Answer: **Option C**

Solution:

537.ย The nodal method of circuit analysis is based on

A.ย Kirchhoffโs Voltage Law & Ohmโs law

B.ย Kirchhoffโs Current Law & Ohmโs law

C.ย Kirchhoffโsย Currentย Lawย &ย Kirchhoffโsย Voltage Law

D.ย Kirchhoffโsย Currentย Lawย &ย Kirchhoffโsย Voltage Law & Ohmโs law

Answer: **Option B**

Solution:

538.ย Forย aย networkย ofย sevenย branchesย andย fourย nodes, the number of independent loops will be

A.ย 11

B.ย 8

C.ย 7

D.ย 4

Answer: **Option D**

Solution:

539.ย Aย networkย hasย bย branchesย andย nodes.ย Forย this mesh analysis will be simpler then node analysis if n is greater then

A.ย b

B.ย b + 1

C.ย (b/2) + 1

D.ย b/2

Answer: **Option C**

Solution:

540.ย The number of independent loops for a network with n nodes and b branches is

A.ย n – 1

B.ย b – n

C.ย b – n + 1

D.ย independent no. of nodes

Answer: **Option C**

Solution:

541.ย The following constitutes a bilateral element

A.ย Resistor

B.ย FET

C.ย Vacuum Tube

D.ย metal rectifier

Answer: **Option A**

Solution:

542.ย Kirchhoffโs Laws fail in the case of

A.ย linear networks

B.ย non-linear networks

C.ย dual networks

D.ย distributed parameter networks

Answer: **Option D**

Solution:

543.ย Ohmโsย law,ย Kirchhoffโsย Currentย Lawย &ย Kirchhoffโs Voltage will fail at

A.ย Low frequency

B.ย high frequency

C.ย high power

D.ย none of these

Answer: **Option B**

Solution:

544.ย Total no, of mesh equations required is equal to

A.ย number of links

B.ย number of tree branches

C.ย number of nodes

D.ย none of these

Answer: **Option A**

Solution:

545.ย Theย minimumย numberย ofย equationsย requiredย to analyze the circuit

A.ย 3

B.ย 4

C.ย 6

D.ย 7

Answer: **Option A**

Solution:

546.ย Equivalent impedance seen across terminals a, b is

A.ย 16/3 โฆ

B.ย 8/3 โฆ

C.ย 8/3 + j12

D.ย none of these

Answer: **Option B**

Solution:

547.ย Whatย isย theย R_{ab}ย inย theย circuitย whenย allย resistors values are R?

A.ย 2R

B.ย R

C.ย R/2

D.ย 3R

Answer: **Option A**

Solution:

548.ย Find R_{ab}. All values are in ohms.

A.ย 22.5

B.ย 40

C.ย 30

D.ย none of these

Answer: **Option A**

Solution:

549.ย Findย theย equivalentย resistanceย ofย theย circuitย inย the figure.

A.ย 3 ohms

B.ย 4 ohms

C.ย 5 ohms

D.ย 6 ohms

Answer: **Option C**

Solution:

550.ย Findย theย equivalentย resistanceย ofย theย circuitย inย this figure.

A.ย R

B.ย 2R

C.ย 3R

D.ย 4R

Answer: **Option C**

Solution:

โ MCQ in DC Circuits Part 12 | REE Board Exam

#### Questions and Answers in DC Circuits

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

**MCQ in DC Circuits**

**MCQ from Number 1 โ 50**Answer key:

**included**

**MCQ from Number 51 โ 100**Answer key:

**included**

**MCQ from Number 101 โ 150**Answer key:

**included**

**MCQ from Number 151 โ 200**Answer key:

**included**

**MCQ from Number 201 โ 250**Answer key:

**included**

**MCQ from Number 251 โ 300**Answer key:

**included**

**MCQ from Number 301 โ 350**Answer key:

**included**

**MCQ from Number 351 โ 400**Answer key:

**included**

**MCQ from Number 401 โ 450**Answer key:

**included**

**MCQ from Number 451 โ 500**Answer key:

**included**

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