prateek nas module 2 29-dec-15

Network Analysis and Synthesis

By:Prateek SaxenaAsst ProfessorECE DepartmentRVIT College, Bijnor

R.V. INSTITUTE OF TECHNOLOGYApproved by UGC & AICTE New Delhi, Affiliated to UPTU & BTE Lucknow

MODULE-2

1. Basics of Kirchhoff’s law

2. Graph Theory

QUESTION-1

KCL states that

a. net current flow at the junction is positive

b. algebric sum of the currents meeting at a junction is 0

c. no current can leave the junction without some current entering in it

d. total sum of currents meeting at the junction is 0

Answer- B

QUESTION-2

According to KVL ,the algebric sum of all IR drops and emfs in any closed loop of a network is always

a. negative

b. positive

c. determined by battery emfs

d. zero

Answer - D

QUESTION-3

KCL is applicable to only

a. junction in a network

b. closed loops in a network

c. electric circuits

d. electronic circuits

Answer - A

QUESTION-4

KVL is related to

a. junctions currents

b. battery emfs

c. IR drops

d. both b and c

Answer- D

QUESTION-5

An ideal voltage source should have

a. large value of emfs

b. small value of emfs

c. zero source resistance

d. infinite source resistance

Answer- C

QUESTION-6

To determine the polarity of the voltage drop across a resistor ,it is necessary to know

a. value of current through the resistor

b. direction of current through the resistor

c. value of resistor

d. emfs in the circuit

Answer-B

QUESTION-7

Which of the following is non-linear circuit parameter

a. inductance

b. condenser

c. wire wound resistor

d. transistor

Answer- A

QUESTION-8

Kirchoff law is applicable to

a. passive networks only

b. AC circuits only

c. DC circuits only

d. both AC as well as DC circuits

Answer- D

QUESTION-9

Kirchoff law is not applicable to circuits with

a. lumped parameters

b. passive elements

c. distributed parameters

d. non-linear resistances

Answer- C

QUESTION-10

Between the branch voltages of a loop the KVL imposes

a. non-linear constraints

b. linear constraints

c. no constraints

d. none of the above

Answer - B

QUESTION-11

A passive network is one which contains

a. only variable resistance

b. only some sources of emfs in it

c. only two sources of emfs in it

d. no source of emfs in it

Answer- D

QUESTION-12

A terminal where three or more branches meet is known as

a. node

b. terminus

c. combination

d. anode

Answer -A

QUESTION-13

A closed path made by several branches of the network is known as

a. branch

b. loop

c. circuit

d. junction

Answer- B

The correct relation between energy and charge is

(a) Energy = voltage / charge

(b) Charge = Energy x voltage

(c) Energy = voltage (charge)0.5

(d) Energy = voltage x charge

QUESTION-14

Answer- D

QUESTION-15The number of independent equation to solve a network is equal to

a. the number of chords

b. number of branches

c. sum of the number of branches and chords

d. sum of the number of branches ,chords and nodes

Answer- A

QUESTION-16

the tie set matrix gives the relation between

a. branch currents and link currents

b. branch voltage and link currents

c. branch currents and link voltages

d. None of the above

Answer- A

QUESTION-17The graph of a network has 6 branches with 3 tree branches . The minimum number of equations required for the solution of the network is

Answer- B

For a connected planar graph of v vertices and e edges the number of meshes is

(a) (e-v+1)

(b) (e+v+1)

(c) (e+v-1)

(d) None of these

QUESTION-18

Answer-A

QUESTION-19

The number of chords of a tree of a connected graph G of v vertices and e edges is

a) (v-1)

b) (e-v+1)

c) (e-v-1)

d)none

Answer-B

QUESTION-20

Which of the following statement is correctA tree in a network is a connected graph containing

a) all the nodes only

b) All the branches only

c) All the branches and nodes

d) All the nodes but no close path

Answer- D

QUESTION-21

A network has 7 nodes and 5 independent loops. The number of branches in the network is

Answer -C

QUESTION-22

An electric circuit with 10 branches and 7 nodes will have

a. 3 loop equations

b. 4 loop equations

c. 7 loop equations

d. 10 loop equations

Answer- B

QUESTION-23

The tree branches of a graph are called

a) chords

b) links

c) twigs

d) Co-tree

Answer-c

QUESTION-24If an ideal voltage source and an ideal current source are the connected in parallel what are the properties of the combination?

a) The same as a voltage source

b) The same as a current source

c) Different from either a voltage source or current source

Answer-A

QUESTION-25

The energy expanded or heat generated in joules when a current of ‘i’ flows through a conductor ‘R’ for ‘t’ seconds is given by

a) i^2 Rt

b) iRt

c) iR^2t

d) iRt^2

Answer- A

QUESTION-26

A 2 Ω resistance having a current of 2A will dissipate a power of

Answer-C

QUESTION-27In a network containing only independent current sources and resistors, if the values of all the resistors are doubled, the value of the node voltages

a) Are doubled

b) Remain same

c) Are halved

d) Change in some other way

Answer-A

QUESTION-28What is the rank of a graph

a) N-1

b) N+1

c) 2n-1

d) 2n+1

where n is the number of nodes

Answer- A

QUESTION-29

Whenever current is supplied by a source its terminal voltage is

a) increase

b) decrease

c) Remains constant

d) Increases exponentially

Answer-B

QUESTION-30

A current of 4A flows in a AC circuit when 100v DC is applied to it whereas it takes 250 v AC to produce the same current the power factor of the circuit is

a) 0.4

d) 0.85

Answer-A

QUESTION-31

Which of the following can not be connected in series unless they are identical

a) Voltage source

b) Current source

c) Both of above

d) resistance

Answer- B

Kirchoff second law is based on the law of conservation of

a) Charge

b) energy

c) momentum

d) mass

QUESTION -32

ANSWER- B

QUESTION -33

A branch of a network is said to be active when it consists of one

a) resistor

b) Voltage source

c) inductor

d) capacitor

Answer-B

QUESTION -34

A branch of network is said to be passive when it contains

a) voltmeter

b) Voltage source

c) Current source

d) battrery

Answer-A

QUESTION -35

An electric current of 5A is same as

a) 5 J/C

b) 5V/C

c) 5C/sec

d) 5w/sec

Answer-C

QUESTION -36

A circuit contains two un equal resistances in parallel

a) Current is same in both

b) Large current flows in larger resistor

c) Potential difference across each is same

d) Smaller resistance has smaller conductance

Answer-C

QUESTION -37

Tree branches are known as

a) branch

b) Twigs

c) chords

d) Co-tree

Answer-B

QUESTION -38

What seprates the cut –set in a graph

a) Nodes of the graph into two groups

b) Branches of the graph

c) loops

d) All of the above

Answer-A

QUESTION -39

In any network on which principle a branch posses same current

a) Charge continuity

b) Current continuity

c) Voltage continuity

d) All of the above

Answer-A

QUESTION -40

What are the number of branches in a tree

a) N-1

b) N+1

c) N+2

d) 2n-1

Answer-A

QUESTION -41

What is the unit of the current density

a) A/m^2

b) A-m

c) A/m

d) None

Answer-A

Ohms law not applicable to

QUESTION -42

a) Linear circuits

b) Non linear circuits

c) No limitation

Answer-B

QUESTION -43

A circuit that opposes the change in circuit current is

a) resistance

b) capacitance

c) Inductance

d) conductance

Answer-C

QUESTION -442 resistor R1 and R2 give combined resistance of 4.5 Ω when in series and 1Ω when in parallel . The resistance are

a) 2 Ω and 2.5 Ω

b) 1 Ω and 3.5 Ω

c) 1.5 Ω and 3.5 Ω

d) 4 Ω and 0.5 Ω

Answer-C

QUESTION -45

A connected planar network has 4 nodes and 5 elements . The number of meshes in its dual network is

Answer-C

QUESTION -46

Supermesh concept is only for

a) Current sources

b) Voltage sources

c) Dependent sources

d) None of the above

Answer- A

QUESTION -47

Ohm law mathematical statement given as

a) V=IR

b) V=I/R

c) R=V/I

Answer- A

QUESTION -48

KVL is …………… of nature of circuit element

a) dependent

b) independent

c) In other way

d) Time varying

Answer- B

QUESTION -49

A tree is a connected graph which has

a) Closed path

b) Either close or no close path

c) No closed path

Answer- C

QUESTION -50

Number of twigs is given as

a) Nt=n-1

b) Nt=n+1

c) Nt=2n+1

Answer- A

Thank you & All The Best

prateek nas module 2 29-dec-15

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