ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY &...

MODEL PAPER 1

ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES (AUTONOMOUS)

II/IV B. Tech I- Semester Regular Examinations Oct – 2016

(Regulations: R15)

Time: 3 hours

Digital Logic Design (EEE)

Max Marks: 60

Answer ONE Question from each Unit

All Questions Carry Equal Marks

All parts of the question must be answered in one place only

UNIT-I

1. a) Discuss about 1′s and 2′s Complement of subtraction. 4M

b)

Differentiate between binary code and BCD code. 4M

c) Convert (5064)9 into base 5 4M

(OR)

2. a) Explain about Self complementing code and gray code. 4M

b) Convert F(x)= x+y′z into canonical form. 4M

c) State and prove idempotent laws of Boolean algebra. 4M

UNIT-II

3. a) Define K Map . Name its advantages. 4M

b) Slove the function using K Map

x′yz+x′yz′+xy′z′+xy′z

4M

c) Design XNOR and XOR Gates using Universal Gates 4M

(OR)

4. a) Design Full adder and Full subtractor by using Universal Gates 6M

b) Design a logic circuit to convert BCD and gray code. 6M

Hall Ticket No: Question Paper Code :

MODEL PAPER 2

UNIT-III

5. a) Design and implement 4-bit binary counter using D flipflop 6M

b) Design T Flip Flop using Logic Gates. 6M

(OR)

6.a Compare the merits and demerits between Ripple and Synchronous counter. 6M

b Explain about Shift registers 6M

UNIT-IV

7.a Explain the differences among a truth table, state table, a characteristic table and

a excitation table. 4M

b Write down the steps for the design of sequential Circuits 3M

c A sequential circuit with 2 D Flip Flops A and B , two inputs X and Y and one

output Z is specified by the following next state and output equations

A(t+1)= X′Y+XB

B(t+1)= X′A+XB

Z= A

i) Draw the logic diagram of the circuit

ii) List the state table for the sequential circuit

5M

(OR)

8.a Write a short notes on Serial Adder 3M

b Explain State Reduction Method. 3M

c A sequential circuit with 2 JK Flip Flops A and B , two inputs X and Y and one

output Z . The Flip Flop input equations and circuit output equations are

JA= B′Y′+BX KA= B′XY′

JB= A′X KB= A+XY′

Z= AX′Y′+ BX′Y′

i) Draw the logic diagram of the circuit

ii) Tabulate the State table.

6M

UNIT-V

9.a Differentiate between PLAS and PALS 4M

b Implement the following using PLA

F1 (X,Y,Z) = ∑m(0,2,47)

F2 (X,Y,Z) = ∑m(3,5,6,7)

8M

(OR)

10.a Classify and explain the types of ROM’S 4M

b Implement the following using PLA

F1 (A,B,C) = ∑m(0,1,2,4)

F2 (A,B,C) = ∑m(0,5,6,7)

8M

******

MODEL PAPER 1


II/IV B. Tech I- Semester Regular Examinations Oct - 2016

(Regulations: R15)

Electromagnetics (EEE)

Time: 3 hours Max Marks: 60




UNIT-I

1 a) Drawing necessary sketches, obtain the rectangular coordinates X,Y,Z of a

point ‘P’ in terms of its spherical coordinates r, θ, ɸ. Assume same origin for

both coordinate systems.

(4M)

b) Find the total charge in a volume defined by the six planes for which

1≤ X ≤ 2 , 2 ≤ Y ≤ 3 , 3 ≤ Z ≤ 4 if D = 4Xāx + 3Y²āy + 2Z³āz C/m² .

(8M)

OR

2 a) Derive an expression for the electric field intensity at a point due to an infinite

sheet of charge.

(7M)

b) Find Ē at P(1,1,1) caused by Four identical 3nc charges located at P1(1,1,0),

P2(-1,1,0) P3(-1,-1,0), and P4 (1,-1,0).

(5M)

UNIT-II

3 a) Show that J = σ E from fundamentals. Derive the continuity equation of

current.

(7M)

b) A dipole of moment P= 5az nc-m is located at the origin in free space then Find

‘V’ and ‘E’ at point P (4, 20°, 0°).

(5M)

OR

4 a) Derive the expression for capacitance and energy stored in a parallel plate

capacitor.

(7M)

b) Charges of 3C, 2C and 1C are placed at the corners of an equilateral triangle of

side 2 meter. Find the energy needed to assemble those charges in this manner.

(5M)


MODEL PAPER 2

UNIT-III

5 a) Find the solutions of Laplace equation in one dimension using Cartesian

coordinates and Cylindrical coordinates.

(6M)

b) State Biot-Savarte law with their units. A current element

Idl = 2π (0.6ax – 0.6ay) μA is situated at point (4,-2, 3)m. Find the incremental

field dH at a point (1, 3, 2)m.

(6M)

OR

6 a) Find H on the axis of a circular loop of radius ‘R’ at a distance‘d’ from the

centre carrying a current of ‘I’ amperes in the counter clockwise direction.

Specialize the result to the centre of the loop.

(7M)

b) In cylindrical coordinates, B = (2/r) aϕ Tesla. Determine the magnetic flux ‘ϕ’

crossing the plane surface defined by 0.5 ≤ r ≤ 2.5 m and 0 ≤ Z ≤ 2 m.

(5M)

UNIT-IV

7 a) Derive the conditions which B & H should satisfy at the interphase between

two magnetic media.

(7M)

b) A 200 turn rectangular coil 0.3mX0.15m with a current of 0.5 A is in a uniform

field B = 0.2 T. Find the magnetic moment and maximum torque.

(5M)

OR

8 a) Derive the expression for force between two parallel conductors of finite

length.

(8M)

b) A straight thin conductor carries a steady current of 10 amperes, with positive

X-direction. There exists a magnetic field of 2 wb/m2 in a direction parallel to

the X-Y plane and making angle 300 with the X-axis. Find the magnitude and

direction of the force on a 3 meter length of conductor.

(4M)

UNIT- V

9 a) Write the Maxwell’s equations for time varying fields.

(6M)

b) A copper wire carries a conduction current of 1 A. determine the displacement

current in the wire at 100 MHz . Take ε = ε0 and σ = 5.8X107 mho/m

(6M)

OR

10 a) Explain clearly, why the expression Curl H = J is to be modified for the magnetic field

which vary with time. Obtain the modified equation.

(8M)

b) Distinguish between ‘transformer induced e.m.f’ and ‘rotational induced

e.m.f’.

(4M)

MODEL PAPER 3

MODEL PAPER 1



(Regulations: R15)

Time: 3 hours

ELECTRONIC DEVICES AND CIRCUITS

(EEE)

Max Marks: 60




UNIT-I

1. a) What are the two types of capacitances across a P-N junction? Which of these is

more important in case of forward bias? (4M)

2. b) Explain the operation of half wave rectifier and derive the expression for its ripple

factor and efficiency. (8M)

(OR)

3. a) Explain the operation of a PN junction diode with the help of its energy band

diagrams. Discuss in detail the various current components in a forward biased PN

diode. (6M)

b) A 15-0-15v (rms) ideal transformer is used with a full wave rectifier circuit with

diodes having forward drop of 1v. The load is a resistance of 100 Ω & a capacitor

of 0.01F is used as a filter across the load resistance. Calculate the dc load current,

voltage & ripple factor. (6M)

UNIT-II

4. a) Distinguish between avalanche breakdown & Zener breakdown (4M)

b) With neat diagram explain the construction working characteristics of UJT. Give its

equivalent circuit. (8M)

(OR)

5. a) What is tunneling phenomenon? Draw and explain the Volt-Ampere characteristics

of Tunnel diode. (6M)

b) Write short notes on (i) varactor diode (ii) photo diode. (6M)

(OR)

6. a) With the help of current components explain the operation of NPN Transistor (6M)

b) Obtain the relation between α and β of transistors (4M)

c) A transistor has IB = 105µA and IC = 2.05µA. Find: (i) β (ii) α (iii) IE (2M)


MODEL PAPER 2

UNIT-IV

7. a) Explain how JFET can be used as a voltage variable resistor. (4M)

b) Explain the construction, operation and characteristics of an enhancement type

MOSFET. (8M)

(OR)

8. a) Define the following terms.(i) transconductance (ii) drain resistance (iii)

amplification factor. (4M)

b) An N-channel JFET has Vp= -4.5V, IDSS = 9mA & IDS = 3mA. Determine its ‘VGS’

& ‘gm’. (4M)

c) Compare BJT and JFET. (4M)

UNIT-V

9. a) What is thermal runaway in amplifier circuits using BJTs. Show that to prevent

thermal runaway in a CE amplifier the biasing shall be such that VCE≤VCC/2. (6M)

b) Draw a voltage divider bias circuit and derive an expression for it stability factor.

(6M)

(OR)

10. a) A transistor is connected in a self bias current with IE = 5mA, VCE = 6V, VC =

8V,S=10,β= 200 & VCC = 20V. Determine the values of resistors used in it (6M)

b) Explain any two biasing techniques of JFET? (6M)

******

MODEL PAPER-I 1




(Regulations: R15)

MATHEMATICS- III

(MECH, ECE, EEE, CIVIL, CHEMICAL)

Time :3hours Max Marks:60




UNIT – I

1. a) Find the constants a and b so that the surface xabyzax )2(2 will be orthogonal to

the surface 44 32 zyx at the point )2,1,1(

(6)

b) Prove that FdivFgradFCurlCurl 2

(6)

(OR)

2.a) If nzyxf

222 , find fgraddiv and determine n if 0fgraddiv (6)

b) Prove that ,

2 11 12( ) ( ) ( )f r f r f r

r .

UNIT-II

(6)

(OR)

UNIT-III

3. a) If is a scalar point function , use stoke’s theorem to prove that ( ) 0Curl grad , (6)

b) Evaluate c

dyyxdxxyx )3()2( 22, where, C is the square formed by the lines

11 yandx

(6)

4. a) Verify Divergence theorem for kyzjyzixF 2taken over the cube

azzayyaxx ,0;,0;,0

(6)

b) Find the area of a circle by Green’s theorem.

(6)

5. a) Form the Partial differential equation (by eliminating the arbitrary constant a, b ) of

2222czbyax

(6)

b) Solve 2 2 2

2 23 2 cos 2

z z zx y

x x y y

(6)

MODEL PAPER-I 2

(OR)

UNIT-IV

(OR)

8. a ) Find the solution of 1-dimensional hear equation 2

2 2

1,

u u

tx c

where

2c is diffusivity

of material of the bar. (6)

UNIT-IV

(OR)

10. a) Find the Fourier Sine and Cosine transform of axexf and hence deduce the

inversion formulae

(6)

b) Using finite Fourier transform, solve 2

22

u u

t x

given that

(0, ) 0, ( ,0) ( 0)xu t u x e x and ( , )u x t is bounded where x>0, t>0.

(6)

******

6. a) Solve yxzqxzypzyx 222

. (6)

b) Solve 1 2 3 4 3 6D D D D z x y .

(6)

7. a) Solve , using variable separable method , 3 2 0, ( ,0) 4 xu uu x e

x y

. (6)

b) A tightly stretched string with fixed end points x=0 and x= l is initially in a position

given by 3

0 sinx

y yl

If it is released from rest from this position, find the

displacement ( , )y x t .

(6)

b) A homogeneous rod of conducting material of length 100cm has its ends kept at zero

temperature and the temperature initially is,

U(x,0) = , 0 50

100 , 50 100

x x

x x

..

(6)

9. a)

Find the Fourier transform of

axif

axifxaxf

0

22

, Hence Show that

4

cossin

0 3

dxx

xxx

(6)

b) Verify the convolution theorem for 2xexgxf . (6)

MODEL PAPER-II 1




(Regulations: R15)

MATHEMATICS- III

(MECH, ECE, EEE, CIVIL, CHEMICAL) Time :3hours Max Marks:60




UNIT - I

1 . a) If the directional derivative of xczzbyyax 222 at the point (1,1,1) has

maximum magnitude 15 in the direction parallel to the line zyx

2

3

2

1find

the values of a,b and c. ( 6 )

b) Prove that GFFGFGGFGF ).().().().()( . ( 6 )

(OR)

2. a) Find the angle between the surfaces 39 22222 yxzandzyx at the

point ( 2,-1, 2 ). ( 6 )

b) If 222 zyxu and kzjyixV , show that uVudiv 5)( . ( 6 )

UNIT-II

3. a) Find the total work done in moving a particle in a force field given by

kxjzixyF 1053 along the curve .21,2,1 322 ttotfromtztytx

( 6 )

b) Evaluate c

RdF. where

3 3F y i x z j z y k is the circle

5.1,422 zyx. (6)

(OR)

3. a) Verify Green’s theorem for

C

dyxdxyxy 22

where C is bounded by

2xyandxy .

( 6 )

b) Use divergence theorem to evaluate S

dsF ,. where

,333 kzjyixF and S is the

surface of the sphere .2222 azyx ( 6 )

MODEL PAPER-II 2

UNIT-III

5. a) Form the partial differential equation from 0, 222 zyxzyxF . ( 6 )

b) Solve

22 ' '6 cos (2 )D DD D x y . ( 6 )

(OR)

6. a) Solve 0)()()( 222222 yxzqxzypzyx . ( 6 )

b) Solve yxezDDDD 2'' )2()1( . ( 6 )

UNIT-IV

7. a) Solve the equation ,023

y

u

x

u.4)0,( xexu ( 6 )

b) Solve the equation 2

2

x

u

t

u

with boundary conditions

,0),1(0),0(,sin3)0,( tuandtuxnxu where .0,10 tx . ( 6 )

(OR)

8. a) Solve the completely equation ,2

22

2

2

x

yc

t

y

representing the vibrations of a

string of length ,l fixed at both ends, given that

)()0,(;0),(;0),0( xfxytlyty and .0,0)0,(

lxt

xy

( 6 )

b) Find the solutions of Laplace’s equation in polar coordinates. ( 6 )

UNIT-V

9. a) Find the Fourier cosine transform of axe

. Hence evaluate

0

22.

cosdx

ax

x ( 6 )

b) Using the Fourier integral representation, show that

.102

cossin

0

xwhendx

( 6 )

(OR)

10. a) Using Parseval’s identities, prove that

0

2222 )(2)()( baabtbta

dt ( 6 )

b) Using finite Fourier transform, solve 2

2

x

u

t

u

given 0),4(,0),0( tutu and

.0,402)0,( txwherexxu ( 6 )

******

MODEL PAPER 1



(Regulations: R15)

Time: 3 hours

ENGINEERING MECHANICS & STRENGTH OF MATERIALS

(EEE) Max Marks: 60




Unit - I

1. (a) State and prove the Varignons theorem (5M)

(b) Referring to Fig. 1 below, determine the least value of the force P to cause the motion to

impend rightward. The coefficient of friction under each block is 0.2 and assume the pulley

to be frictionless. (7M)

Fig.1

(OR)

2. (a) Determine the magnitude of F1 and F2 for forces shown in fig. 2, which are in

equilibrium. . (5M)

(b) Two identical rollers each of weight 100N are supported by an inclined plane and a

vertical wall as shown in fig.3. Assuming smooth surfaces find the reactions induced at

A,B & C. (7M)


MODEL PAPER 2

Fig. 2

Fig. 3

UNIT - II

3. (a) Determine the moment of Inertial of the C-Section shown in Fig.4 about its centroidal axis.

All dimensions are in mm (8M)

(b) Determine the coordinates of centroid of the shaded area as shown in Fig. 5, if the area

removed is semicircular. All dimensions are in mm (4M)

Fig. 4

Fig.5

(OR)

4. (a) State and prove Parallel axis theorm. (4M)

(b) Find the centroid for the following composite area shown in Fig. 6, with respect to X and

Y axes .All dimensions are in mm. (8M)

MODEL PAPER 3

Fig. 6

UNIT – III

5. (a) Show that the trajectory of a projectile is parabola and derive an expression for maximum

height ; time of flight and range (6M)

(b) A car of mass 150 kg is travelling on a horizontal track at 36 kmph . Determine the time

required to stop the car . The coefficient of friction between road and tyres is 0.45 , Use

impulse momentum method. (6M)

(OR)

6. (a) Explain D’Alemberts Principle and work energy theorem. (6M)

(b) The motion of a particle is defined by the relation x= t3-12t

2+36t+30 where ‘x’ is

expressed in meters, t in seconds determine the time, position and acceleration when

velocity v=0 (6M)

UNIT - IV

7. (a) Draw stress-strain curve for ductile material. (3M)

(b) A Beam of 20m span is simply supported over a length of 12m. It has an over-hang of

3m to the right support and an over-hang of 5m to its left support. The beam carries a

UDL of 6kN/m over its entire span and point loads of 30kN and 50kN at the extremes of

left and right portions of overhang respectively. Draw SF and BM diagrams by indicating

the values at the salient points on it. (9M)

(OR)

8. (a) Explain the various types of beams and loads with sketches. (5M)

(b) A member ABCD is subjected to point loads P1, P2, P3 & P4 as shown in fig. 7. Calculate

the Force P3 necessary for equilibrium if P1=120KN, P2=220KN & P4=160KN.

MODEL PAPER 4

Determine also the net change in length of the member. Take E=2X105N/mm

2. (7M)

Fig. 7

UNIT -- V

9. a) A hollow shaft of diameter ratio 3/8 is to transmit 375 KW power at 100 rpm. The

maximum torque being 20% greater than the mean torque. The shear stress not to

exceed 60 N/mm2

and angle of twist in a length of 4m not to exceed 20. Calculate its

external and internal diameters which would satisfy both the above conditions. Assume

modulus of rigidity, 85 GPa. (8M)

b) A rectangular beam of 200mm deep and 300mm wide is simple supported over a span

of 8m .What is the intensity of UDL the beam has to carry over its whole span if the

bending stress in the material is not to exceed 120 MPa (4M)

(OR)

10. a) Derive the flexure formulae with assumptions. (8M)

b). A solid shaft 10cm diameter and 4meters in length is subjected to twisting moment

which produces maximum shear stress of 60MPa, Determine the angle of twist in

degrees. (4M)

******

MODEL PAPER 1



(Regulations: R15)

Time: 3 hours

Network Theory (EEE)

Max Marks: 60




UNIT-I

1. a)Find Mesh Currents in the given circuit (6M)

b)Find Node Voltages in the given circuit (6M)

(OR)

2. a) Find Thevenin’s equivalent for the circuit across A and B terminals

(6M)


MODEL PAPER 2

b) Find Io using Superposition Theorem (6M)

UNIT-II

3. a) Find Y-parameters for the given network (6M)

b. Find h- parameters for the network shown (6M)

(OR)

4. a) A coil having an inductance of 100mH is magnetically coupled to another coil having

inductance of 900mH. The coefficient of coupling between coils is 0.45. Calculate equivalent

inductance if two coils are connected in (6 M)

(i) Series Aiding (ii) Series Opposing (iii) Parallel Aiding (iv) Parallel Opposing

b) Verify RECIPROCITY THEOREM for the given network (6 M)

MODEL PAPER 3

UNIT-III

5. a) The switch is initially opened for a long time. At t=0, the switch is closed. Find the expression

for i(t) for t>0 in time domain. (6 M)

b) The switch is kept at position 1 and steady state condition is reached. At t=0, switch is moved

to position 2. Find the expression for i(t) in Laplace domain. (6M)

(OR)

6. a) Derive the expression for Transient Response of Source Drive Series R-L circuit with DC

excitation (6 M)

b) The switch is closed at t=0. Find value of I, di/dt and d2i/dt

2 at t=0

+ (6 M)

MODEL PAPER 4

UNIT-IV

7. a)Define the following

(i) Resonant Frequency (ii) Quality Factor (iii) Bandwidth (iv) Selectivity (4 M)

b)Prove that resonant frequency is geometric mean of two half power frequencies (4 M)

c) The parameters of a parallel RLC excited by current source are R=40Ω, L=2mH and C=3μF.

Determine resonant frequency, quality factor, and bandwidth and cut-off frequencies.

(4 M)

(OR)

8. a) Derive the relationship between Line and Phase Voltage and Current in 3-phase Star

Connected system. (6 M)

b) A 3-phase balanced system supplies 110V to a Delta connected load whose phase impedances

are equal to (3.54+j3.54) Ω. Determine line currents (6 M)

UNIT-V

9. a) Find duality for the given circuit (6 M)

MODEL PAPER 5

b) Find First and Second CAUR forms of the given function

(𝑠+1)(𝑠+3)

𝑠(𝑠+2) (6 M)

(OR)

10. a) Define the following

(i) Graph (ii) Degree of Node (iii) Tree (iv) Twig (v) Link (vi) Co-tree (6 M)

b) For the oriented graph shown, obtain Basic Cut set Matrix (6 M)

*******

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