Answer ALL questions Part-A (10 x 2 = 20 marks) · 2018-10-09 · ECE/MQ/III SEM/ Page 1 Reg.No.: B.E./B.Tech. DEGREE EXAMINATION, November-2009 Second Year - Third Semester MA2211

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ECE/MQ/III SEM/ Page 1

Reg.No.:

B.E./B.Tech. DEGREE EXAMINATION, November-2009

Second Year - Third Semester

MA2211 – TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS

MODEL QUESTION PAPER - I

(Regulation 2008)

Time: Three hours Maximum marks: 100

Answer ALL questions

Part-A (10 x 2 = 20 marks)

1. Determine the value of an in the Fourier series expansion of f(x) = x3 in (- , ) .

2. Find the Fourier sine transform of .

3. Solve ( D² + 3 DD' + 2D'² ) z = 0

4. Form the partial differential equation by eliminating the arbitrary constants

a and b from (x - a )² + (y - b )² = z2 cot

2 α.

5. Prove that F [ f (x + a)] = e ias

F(s).

6. State the convolution theorem on Fourier transforms.

7. What is the basic difference between the solution of one dimensional wave

equation and one dimensional heat equation?

8. What are the possible solutions of two dimensional heat equation in steady

state?

9. Find the Z-transforms of .

10. Form the difference equation from yn = a + b 3n

PART-B (5 x 16 = 80 marks )

11 (a) (i) Find a Fourier series expansion of period l for the function

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f (x) = , hence deduce 1n

. (16)

(OR)

(b)(i) Find the half range cosine series of f (x) = - x², 0 < x < . (8)

Hence find the sum of the series + +…….

(ii) Find the complex form of the Fourier series of f(x) = ex in < x <

and )()2( xfxf . (8)

12. (a ) (i) Find the Fourier transform of the function f(x) defined by

f(x) =

Hence prove that –

cos (s/2 )ds = . (10)

(ii) Find the Fourier cosine transform of f(x) = (6)

(OR)

(b) (i) Find the Fourier transform of the function f(x) = , a > 0. Deduce that (8)

F(x ) = i .

(ii) Show that the function is self reciprocal under Fourier transforms. (8)

13) (a) (i) Solve ( x ² + y ² + yz )p + ( x ² + y ² - xz ) q = z( x + y) (8)

(ii) Solve ( D² + 2DD' + D'² )z = x ² y + e

x – y. (8)

(OR)

(b) (i) Solve z = px + qy + p² + qp + q² . (8)


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(ii) Form the PDE by eliminating arbitrary function from z = x f (2x+ y) + g (2x+ y). (8)

14) (a) The ends A and B of a rod l cm long have their temperatures kept at 20ºc and 40ºc

until steady state conditions prevail. The temperature at the end A is suddenly increased

to 50ºc and that of B is decreased to 10ºc.Find the temperature distribution of the rod

at any time t ,also find the temperature at the midpoint. (16) (OR)

b) A rectangular plate with insulated suface is 10cm wide and so long compared to its width

that if may be considered infinite length . If the temperature at the short edge y = 0 is

given by

U =

and all the other edges are kept at 0o c. Find the steady state temperature at any point

of the plate. (16)

15. (a)(i) Find z[ cos n ] and z[ sin n ]. (8)

(ii) Find )3()2( 2

21

zz

zZ . (8)

(OR)

b) (i) State and prove the convolution theorem on z –transforms. (8)

(ii) Solve y n+2 + 4y n+1 -5 yn = 24n - 8, given that y0 = 3 and y1 = -5. (8)

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Reg.No.:




MODEL QUESTION PAPER - II

(Regulation 2008)




1. If f (x) = x+x

3 , - < x < ,find the constant term of its Fourier series.

2. State Dirichlet's conditions for Fourier series.

3. Form a PDE by eliminating arbitrary constants from z = a²x + a²y + b

4. Find the complete solution of the partial differential equation p² + q² – 4pq = 0

5. Find the Fourier sine transform of e-x.

6. Write down the Fourier cosine transform pair of the formulae.

7. Classify the partial differential equation 3uxx + 4 uxy +3 uyy - 3 ux = 0.

8. Write the governing equation of one dimensional heat equation.

what does the constant α2 stand for?

9. State and prove initial value theorem in Z – transform.

10. Find the z-transform of (n + 1) (n + 2).

PART-B (5 x 16 = 80 MARKS )

11(a) (i) Find the Fourier series for f (x) = cos x in (- (8)

(ii) Find the half range sine series for f (x) = a in (0 , (8)


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deduce the sum of the series + +……

(OR)

(b) (i) Obtain a Fourier series upto the second harmonic from the data (8)

x 0 /3 2 /3 4 /3 5 /3 2

f (x) 0.8 0.6 0.4 0.7 0.9 1.1 0.8

(ii) Find the Fourier series for f (x) = (8)

12)(a)(i)Find the infinite Fourier transform of the function f(x) defined by (16)

f(x) =

.

(OR)

(b)(i) Using Parseval's identity evaluate (8)

(ii) State and prove convolution theorem on Fourier Transform. (8)

13.(a) i) Solve x (y – z ) p + (z – x) q = z (x -y ) (8)

ii) Solve ( D² + 3 DD' + 2D'² ) z = x +y (8)

(OR)

(b) (i) Solve p² y ( 1 + x² ) = q x² (8)

( ii) Solve = e3x – 2y

+ sin x (8)

14(a) The ends A and B of a rod l cm long have their temperatures are kept at 30º c and 80º c until

steady state condition prevail. The temperature at the end B is suddenly changed to 60º c and that of

A is lowered to 40º c .Find the temperature distribution of the rod at any time t. (16)

(OR)


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(b) A String is stretched and fastened to two points x = 0 and x = l apart. Motion is started by

displacing the string into the form y = k (l x - x²) from which it is released at time t = 0. Find the

displacement at any point on the string at any distance x from one end at time t . (16)

15(a) i) Find the inverse Z transform of by the method of partial fractions.

(8)

( ii) Solve the difference equation y ( n + 3 ) - 3 y ( n + 1 ) + 2 y ( n ) = 0, given that

y (0) = 4 , y ( 1 ) = 0 and y ( 2 ) = 8 . (8)

(OR)

(b)( i) Find the Z- transform of cos nθ and sin n θ , hence find Z [cos ( + ) ]. (8)

(ii) Find the Z- transform of n (n -1), n > 0. (8)

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Reg.No.:




MODEL QUESTION PAPER - III

(Regulation 2008)




1. Find the constant term in the Fourier series corresponding to f (x) = cos 2x in (- , ).

2 . Find the RMS value of the function f(x) = x in (0, l).

3. Write the Fourier transform pair of formulae.

4. Find the Fourier transform of f(x) cos ax.

5. Find the complete integral of p + q = x + y.

6. Solve (D2- 4 D D + D 2) Z =0.

7. State any two laws assumed to derive the one dimensional heat equation.

8. A rod 60 cm long has its ends A and B kept at 300C and 400C respectively. Find the steady

state solution.

9. Find .

10. State initial value theorem on Z-transforms.

PART –B (5X16=80 Marks)

11. a(i) . Obtain the Fourier series of f (x) = and


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deduce that 1n

= . (8)

(ii) Find the Fourier series to represent sin x in - < x < . (8) (OR)

b(i) Find the half range cosine series of f (x) = x in ( 0 , ) and hence find the sum

1n

(8)

(ii) Find the Fourier Series upto second harmonic from the data (8)

x 0 1 2 3 4 5

y 9 18 24 28 26 20

12. a (i) Find Fc [ and hence find Fs [ (8)

(ii) Find the Fourier sine transform of e-4x

, deduce that (8)

(OR)

b (i ) Evaluate using Fourier transforms. (8)

(ii) Find the Fourier sine transform of . (8)

13. a)(i) Find the singular integral of z = px + qy + c . (8)

(ii) Solve 2 – +6 = (8)

(OR)

b) (i) Solve + . (8)

(ii) Solve 2 2 = xy +7. (8)


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14. a) (i) A tightly stretched string l has its ends x=0 and x= l are fixed. The point x=3

l

is drawn through a small distance h and it is released from rest. Determine y(x,t)

at any time t. (16)

(OR)

b) A square plate is bounded by the lines x= 0 , x = λ, y = 0 and y = . The three sides

x = 0 ,x = a and y = b are kept at 00c, and the temperature along x axis is λx-x2.

Find the steady state temperature at any point of the plate. (16)

15 a) (i) Find the inverse Z- transform of . (8)

(ii) Solve u n+2 – 5 u n+1 +6 un = 4n, given that u0 = 0 and u1 = 1. (8)

(OR)

b) (i) Find the inverse z transform of using convolution theorem. (8)

(ii) Find the Z - transform of and . (8)

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Reg.No.:



EC2201- ELECTRICAL ENGINEERING

MODEL QUESTION PAPER - I

(Regulation 2008)

Time: Three Hours Maximum Marks: 100

ANSWER ALL QUESTIONS

Part – A (10 x 2 = 20 marks)

1. State the purpose of yoke in a DC machine.

2. Why Brake test is Performed in Dc motors?

3. Write the EMF equation of an Alternator.

4. List four applications of Stepper motor

5. How are HV and LV windings characterized?

6. Define voltage regulation.

7. Name the types of Polyphase Induction Motors.

8. Why single phase induction motor is not self starting?

9. Name few insulating materials used in cables?

10. Where is a substation located?

Part – B (5 x 16 = 80 marks)

11. (a) (i) Discuss how a DC Generator builds up EMF (8)

(ii) A 4 pole generator with wave wound armature has 51 slots each having

24 conductors.The flux per pole is 0.01 wb. At what speed must the armature

rotate to give an induced e.m.f of 250V. What will be the voltage developed,if

the winding is lap connected and the armature rotates at the same speed? (8)

(OR)

(b) (i) What are the features of Swinburne‟s test (8)

(ii) Derive the Emf equation of a DC machine. How can its

direction be obtained? (8)


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12. (a) (i) Explain the construction and working principle of Transformer? (10)

(ii) Draw and explain the phasor diagram of Transformer on NO load? (6)

(OR)

( b) (i) What is meant phantom loading? And Explain the O.C test and S.C test of

Transformer. (12)

(ii) Define ALL Day Efficiency (4)

13. (a) (i) Explain the constructional details of squirrel cage rotor of a 3 phase induction

motor with neat diagram. (8)

(ii) Draw the slip-torque characteristics of a 3 phase induction motor and discuss

its various regions of operations. (8)

(OR)

(b) The power input to the rotor of 400 volts, 50Hz, 6 poles, 3 phase induction

motor is 75kw. The rotor electromotive force is observed to make 100 complete

alternations per minute. calculate 1. slip 2. rotor speed 3. rotor copper loss per

phase 4. mechanical power developed . (16)

14. (a) Describe the method of determining the regulation of an alternator by

synchronous impedance method? (16)

(OR)

14. (b) Write a brief notes on (i) Reluctance motor (ii) Hysteresis motor (16)

15. (a) (i) Draw the structure of Electric power system and name the parts clearly (10)

(ii) Write short notes on Pin type insulator (6)

(OR)

(b) Briefly explain about (16)

i) Radial Distribution System ii)Pole mounted substation

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Reg.No.:




MODEL QUESTION PAPER - II

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. List the main constituents of stator of dc machine.

2. Give the expression for Speed of a DC motor.

3. Define a transformer.

4. What are turns ratio and transformation ratio of transformer?

5. What is the relation between rotor frequency and stator frequency?

6. List the application of split phase motor.

7. Name two types of stepper motor.

8. Differentiate reluctance and hysteresis motor.

9. What is the sub transmission network?

10. Which of the following is advantageous and why? – a 3 phase star connected 3 wire

system and 4 wire system.

Part – B (5 x 16 = 80 marks)

11. (a) (i) Discuss the characteristics of DC motors (8)

(ii) Derive the expression for generated emf in a dc machine. (8)

(OR)

(b) (i) Explain the principle of operation of dc motor. (8)

(ii) Explain the Load test of DC motor. (8)

12. (a) (i) Define Voltage regulation. Draw the phasor diagram of lagging power factor and

determine voltage regulation (8)

(ii) Draw and explain the phasor diagram of Transformer ON load? (8)


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(OR)

( b) The OC and SC tests on a 4 kva,200/400v,50 Hz single phase transformer gave

the following results: (16)

OC test on LV side : 200v,1A,100w; SC test with LV side shorted :

15v,10A,85W.

Determine the parameters of the equivalent circuit and draw the equivalent circuit

referred to the LV side.

13. (a) Explain the Various schemes adopted in starting of three phase induction motors. (16)

(OR)

13. (b) (i) A 3 phase induction motor is wound for 4 poles and is supplied from a 50Hz supply.

Calculate the synchronous speed,the speed of the motor when the slip is 3% the rotor

frequency. (8)

(ii) Explain the operation of Rotor resistance starter with neat sketch. (8)

14. (a) Describe the method of determining the regulation of an alternator by

Amphere turns method? (16)

(OR)

14. (b) (i) Explain the type of Stepper motor (12)

(ii)Briefly explain the working principle of alternator (4)

15. (a) (i) Explain the working principle of EHVDC system with suitable diagram (12)

(ii) Compare EHVAC and EHVDC system. (4)

(OR)

15. (b) (i) Explain the type of Insulators (12)

(ii) Draw the substation layout diagram. (4)

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Reg.No.:




MODEL QUESTION PAPER - III

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. List the application of dc machine.

2. Draw the speed-Torque curve for DC series and DC shunt motor.

3. Derive the condition for maximum efficiency in transformer.

4. Write the equation of Iron loss.

5. Compare Induction motor and Transformer.

6. What is the purpose of Centrifugal switch?

7. Draw the lagging power factor phasor diagram of alternator.

8. What is the limitation in EMF method?

9. Draw the line diagram of Radial distribution system.

10. List the type of Cables.

Part – B (5 x 16 = 80 marks)

11. (a) (i) Explain the Ward leonard control method of DC machine. (8)

(ii) Draw and explain the Internal and External characteristics of DC

Shunt generator. (8)

(OR)

(b) (i) Explain the operation of a three point starter used in a DC motor (8)

(ii) Compare 3point starter and 4 point starter. (8)

12. (a) (i) Define Voltage regulation. Draw the phasor diagram of lagging power

factor and determine voltage regulation (8)

(ii) Draw and explain the phasor diagram of Transformer ON load? (8)

(OR)


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( b) A 40 KVA ,400/200 V , 50 Hz single phase transformer gave the (16)

following results:

OC Test : 400 V , 5A , 500 W (HV SIDE OPENED)

SC Test : 10 V , 50 A , 150 W (LV SIDE SHORTED)

Draw the equivalent circuit of the transformer with the values shown and

calculate the terminal voltage when the transformer delivers the output at a

power factor of 0.8 lagging on LV side.

13. (a) (i)Explain Speed control method of 3-phase induction motor. (8)

(ii)Illustrate the working principle of 3-phase induction motor and explain about

the production of rotating magnetic field. (8)

(OR)

(b) (i) Explain the Double Field Revolving theory (8)

(ii)Write short notes on a) Two value capacitor motor b)Shaded pole motor (8)

14. (a) Write short notes on

(i) Brushless alternator (ii) Stepper motor (16)

(OR)

(b) (i) Derive the emf equation of alternator (16)

(ii) Discuss briefly the constructional features of cylindrical rotor alternator.

Why do these alternators operate only with high speed steam turbines?

15. (a) (i) Explain the different types of EHVDC systems. (12)

(ii) Sketch and explain the suspension type insulators (4)

(OR)

(b) (i) List the merits and demerits of EHVAC system? (8)

(ii) Name the types of insulators and its applications (4)

(iii)Draw the structure of Generation and Transmission system (4)

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Second Year- Third Semester

EC2202 - Data Structures and Object oriented Programming in C++

Model Question Paper-I

(Regulation 2008)

Time : Three Hours Maximum Marks:100


Part – A (10 x 2 = 20 marks) 1. Define “this” pointer in C++.

2. What is a constructor?

3. What is class template? What are the advantages of template in C++?

4. What are input and output stream?

5. What is an Abstract Data Type?(ADT)

6. What is hashing?

7. Write down differences between a graph and a tree?

8. Define a Weighted Graph with an example.

9. What is the time complexity of quick sort?

10. What is dynamic programming?

Part – B (5 x 16 = 80 marks)

11. a) i ) Explain C++ control statements with examples. (8)

ii)Write a C++ program to generate a Fibonacci series using class and object (8)

(OR)

b) i) Explain in detail overloaded constructor and copy constructor. (12)

ii)What is type conversion? Explain with suitable example. (4)

12. a) Explain in detail virtual function and polymorphism (16)

(OR)

b) Explain in detail exception handling (16)

13. a) Write routine for inserting & deleting elements from the singly linked list. (16)

(OR)

b)Explain the priority queue implementation. Write necessary algorithm (16)

14. a) Describe AVL Tree & Construct AVL Tree for the following 10, 2, 8, 12, 11, 15, 7, 9

Write Algorithm for inserting an element in AVL Tree & Write suitable rotations

Algorithm. (16)

(OR)


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b) Explain Dijkstra‟s algorithm using the following graph. Find the shortest path bt

VI to V2 ,V3,V6, V7.

2

4 1 3 10

2 2

8 4

5 6

1

(16)

15. a) i) Write ADT operations for heap sort? (8)

ii) Explain How to sort the elements in the array using heap sort with examples (8)

15,25,70,07,11,65,81,57

(OR)

b) Explain in detail divide and conquer algorithm. (16)

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V1

V7 V6

V4

V3 V5

V2


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Reg.No.:




Model Question Paper-II

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. Define the terms data abstraction and encapsulation?

2. What is friend function?

3. What are the types of inheritance?

4. Distinguish between virtual class & abstract class.

5. List few applications of stack& queue

6. Convert the following infix expression in to postfix notation using stack

a*b-c-d + e*f-g / h*i

7. Draw the binary tree for the expression A* B-(C+D)* (P/Q)

8. Define NP hard and NP complete problems.

9. What is sorting? Differentiate between internal and external sorting technique.

10. What is meant by greedy algorithm?

Part – B (5 x 16 = 80 marks)

11. a) i) What is a scope resolution operator and how it can be used for global variable? (6)

ii) Write a C++ program using object and classes to implement stack and its

operations PUSH and POP (10)

(OR)

b) Write a C++ program to explain the concept of operator overloading? (16)

12. a) Write a C++ program to explain the concept of different types of inheritance? (16)

(OR)

b) i)What are the file modes? Describe various file mode options available in C++. (8)

ii)Explain the various file stream classes needed for file manipulations in C++. (8)

13. a ) i) Evaluate the postfix expression ab +c *- (6)

ii) Explain the ADT operations for array implementation of queue. (10)

(OR)

b) Explain detail various hashing techniques. (16)


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14. a) Show the result of inserting 60,25,75,50,66,33,44 in to an empty binary search tree

and delete the nodes 25,75,44 from the tree. (16)

(OR)

b) Explain Prim‟s algorithm with an example. (16)

15. a) i) Write down the algorithm for merge sort and using it sort the sequence of numbers

41, 23, 74, 11, 65, 57, 94, 36, 99, 87, 70, 81, 61. (10)

ii) Sort the following using radix sort

15, 25, 70, 7, 11, 65, 81, 57. (6)

(OR)

b) Explain in detail Greedy algorithm. (16)

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Reg.No.:




Model Question Paper-III

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. Define new and delete operators.

2. What is function overloading? Name the operators that cannot be Overloaded?

3. Define polymorphism

4. What are exceptions? What are the advantages of using exception handling mechanisms?

5. Define a list. Why the linked list representation is preferred?

6. Define priority queue.

7. Define AVL tree.

8. Define the minimum spanning Tree of an undirected graph.

9. Sort the following using radix sort: 15,25,70,07,11,65,81,57

10. What is meant by divide and conquer method?

Part – B (5 x 16 = 80 marks)

11. a ) i) Explain the basic concepts of oops. (10)

ii)Explain Function overloading concept in C++? (6)

(OR)

b) i)Explain Friend function and Friend class in detail? (8)

ii)Explain the implementation of Destructor? (8)

12. a) i) Explain Virtual function in detail with an example program? (8)

ii) Explain the rules for virtual functions? Explain pure virtual functions? (8)

(OR)

b) What is function template? Write a function template for finding the largest number

in a given array. What is class template. Give an example. (16)

13. a ) i) Explain the operations performed on stack with necessary routines. (10)

ii)Convert the infix expression in to postfix expression a*b-c-d+e*f-g/h*I (6)

(OR)

b) Explain in detail i)Binary heap (8)

ii) Quadratic probing. (8)


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14. a) Construct an expression tree for the expression and perform the tree traversal .

i) A+(B-C) * D* (E+F) (8)

ii)A+B*C/D (8)

(OR)

b) i) Explain the topological sort? Give example. (8)

ii)Explain kruskal „s algorithm with an example. (8)

15. a) Write down the algorithm for quick sort and using it sort the sequence of

numbers 41, 23, 74, 11, 65, 57, 94, 36, 99, 87, 70, 81, 61. (16)

(OR)

b) i) Explain any one external sorting with examples. (6)

ii) Explain in detail Dynamic programming. (10)

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Reg.No.:



EC2203- Digital Electronics


(Regulation 2008)



Part A-(10X2=20 Marks)

1. Express F = A + B‟C as sum of minterms.

2. Implement XOR gate with only NAND gates.

3. Differentiate Encoder and Priority Encoder.

4. Define Multiplexer and list down some applications.

5. Differentiate Combinational and Sequential logic circuits.

6. What is race around condition? How to avoid it?

7. Differentiate Static RAM cell with Dynamic RAM cell.

8. What are programmable logic devices?

9. What is a Moore machine?

10. What are Races and Cycles in Asynchronous Sequential Circuit?

PART B – (5 × 16 = 80 marks)

11. (a) (i) Simplify the following using K-map.

X=A‟B +A‟B‟C+ABC‟+ABC‟+AB‟C‟ (4)

(ii) Implement the Boolean expression using gates

X = (AB + C)‟D + E (4)

(iii) Find the minimal sum of products for the Boolean Expression

f = Σ(1,2,3,7,8,9,10,11,14,15) using Quine-McCluskey method. (8)

(OR)

(b) (i) Explain the operation of TTL N AND gate with its truth table. (8)

(ii) What are universal gates? Why it is called so? Explain

Universal gates with its truth table and logic symbol? (8)


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12. (a) (i) Draw and Explain the working of a Carry Look Ahead Adder (10)

(ii) Explain Even Parity Checker? (6)

(OR)

(b) (i) Explain the operation of a 4-bit Magnitude Comparator. (8)

(ii) Implement the function with a Multiplexer.

F(A,B,C,D) = Σ(0,1,3,4,8,9,15) (8)

13. (a) (i) Describe the operation of Edge Triggered J-K flipflop with its Truth table. (6)

(ii) Explain the operation of MOD-6 Ripple Counter (6)

(iii) What are shift registers? Compare SISO, SIPO, PISO, PIPO. (4)

(OR)

(b) (i) Realise Delay Flipflop using J-K flip flop (8)

(ii) Design MOD-10 synchronous Counters (8)

14. (a) (i) Explain the operation of 256 × 4 Static RAM with neat sketch. (6)

(ii) Explain Memory Decoding. (6)

(iv) Draw the timing waveforms for READ and WRITE operation of RAM. (4)

(OR)

(b) (i) Design BCD to Excess-3 Code Converter using PLA and PAL. (12)

(ii) Write short notes on Field Programmable Gate Arrays. (4)

15. (a) (i) Design Sequence Detector that produces an output 1 whenever

the sequence 101101 is detected. (12)

(ii) Write short notes on ASM. (4)

(OR)

(b) (i) Design Serial Binary Adder using Delay Flipflop. (12)

(ii) Design Moore‟s Machine using ASM Chart. (4)

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Reg.No.:





(Regulation 2008)




1. Define Demorgan‟s theorem and principle of duality.

2. Implement F = (AB‟ + A‟B) (C + D‟) with only NOR gates.

3. Design Half adder with basic gates with its truth table.

4. Define Parity bit.

5. Give the characteristic expression and excitation table of J-K flip flop.

6. Define Universal Shift Registers.

7. Differentiate READ and WRITE operation of a RAM cell.

8. What is FPGA?

9. What is ASM? Compare ASM chart with State Diagram.

10. What are Static and Dynamic hazards in Asynchronous Sequential Circuit?

PART B – (5 × 16 = 80 marks)

11. (a) (i) Covert SOP to equivalent POS

A‟B‟C + A‟B‟C +A‟BC +AB‟C+ABC (4)

(ii) Draw the logic symbol of a XNOR gate and give its truth table.

(4)

(iii) Simplify the Boolean function using K-map method

F(A,B,C,D) = Σm(1,3,7,11,15) + Σd(0,2,5) (8)

(OR)

(b) (i) Explain the operation of CMOS NAND gate and NOR gate? (8)

(ii) What are logic gates? Explain with its truth table and logic Symbol. (8)

12 (a) (i) Draw and Explain the working of a BCD Adder Circuit (8)

(ii) Implement Full Adders using two Half Adders and design Full

Adders using basic gates with its truth table (8)


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(OR)

(c) (i) Explain the operation of a 4-bit Parallel Multiplier. (8)

(ii) What are Code Converters? Design Binary to Gray Code Converter with

its logic Diagram. (8)

13 (a) (i) Describe the operation of J-K flipflop and D-Flipflop with its

Truth table, Characteristic table, Characteristic Equation and

Application table. (12)

(ii) Realise Delay flip flop using SR flipflop (4)

(OR)

(b) (i) Explain the operation of 4-bit Ripple Counter with its truth

Table. (8)

(ii) What are Ring Counters? Design 4-bit Self Correcting Ring

Counter with its State Diagram. (8)

14. (a) (i) Design 16×8 bit ROM Array and explain its operation. (8)

(ii) Write short notes on (i) PROM (ii) EPROM (iii) EEPROM(iv) RAM (8)

(OR)

(b) (i) Implement F1(A,B,C) = Σ(0,1,2,4), F2(A,B,C) = Σ(0,5,6,7)

using PLA. (8)

(ii) Explain the operation of Bipolar and MOS Static RAM Cell.

(8)

15. (a) (i) Design Sequence Detector that produces an output 1 whenever the sequence

101101 is detected using ASM Chart (12)

(ii) Write are the features of decision box in ASM Charts. (4)

(OR)

(b) (i) Design an asynchronous sequential circuit with two inputs x1 and x2

and output Z .Initially both inputs are equal to zero. When x1 or x2becomes „1‟,

the output Z becomes 1.When the second input also becomes 1, the output

changes to zero. The output stays at 0 until the circuit goes back to the initial

state. (14)

(ii) Differentiate MOORE and MEALY Circuits (2)

***********


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Reg.No.:





(Regulation 2008)



Part A-(10X2=20 Marks

1. Draw the logic diagram for X = AB + B‟C.

2. Draw the circuit diagram for CMOS NAND gate.

3. Express Gray Code 1011 as a Binary Code.

4. Define Magnitude Comparator.

5. What are Ripple Counters?

6. What are Sequence Generators?

7. Define Memory Decoding.

8. How Memories are classified?

9. Differentiate Moore machine with Mealy machine?

10. How Static and Dynamic hazards can be eliminated?

PART B – (5 × 16 = 80 marks)

11. (a) (i) Apply Demorgan‟s theorem to the following expression ((A+B+C) D)‟ (4)

(iii) Using Boolean laws and rules simplify the logic expression

Z = (A‟+B) (A+B) (4)

(iv) Sketch NAND – NAND logic circuit for the Boolean expression

Y = AB‟ + AC + BD (8)

(OR)

(b) (i) Realise XOR and XNOR using basic gates, NAND

Implementation and NOR implementation. (8)

(ii) Explain the operation of TTL inverter with its Truth Table.

(8)

12 (a) (i) Draw and Explain the working of a 4-bit Parallel Binary

Adder and 4-bit Serial Adder. (12)

(ii) Explain Even Parity and Odd parity with examples. (4)


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(OR)

(d) (i) Design BCD to Seven Segment Decoder. (12)

(ii) Design 8:1 Multiplexer (4)

13 (a) (i) Describe the operation of Clocked Master-Slave J-K flipflop. (8)

(ii) Explain the operation of Synchronous UP/DOWN Counter

with its truth table. (8)

(OR)

(b) (i) What are shift counter? Design 4-bit Self Correcting Johnson

Counter with its truth table. (8)

(ii) Design 6-bit Sequence Generator for the sequence 101011. (8)

14 (a) (i) Design Binary to Gray Code Converters using ROM Array (8)

(ii) Write short notes on (i) Dynamic Memory (ii) Volatile Storage

(iii) Mask Programmable (8)

(OR)

(b) (i) Implement F1= Σ(2,12,13), F2= Σ(7,8,9,10,11,12,13,14,15),

F3= Σ(0,2,3,4,5,6,7,8,10,11,15) , F4= Σ(1,2,8,12,13)using PAL. (8)

(ii) What is Dynamic RAM Cell? Design DRAM using 16K Memory. (8)

15. (a) (i) Analyze the sequential circuit shown below.

(12)

(ii) Explain the general sequential circuit model. (4)

(OR)

(b) (i) Design an asynchronous sequential circuit that will output

only the first pulse received and will ignore any other pulses (10)

(ii) Enumerate the problems in asynchronous circuits with Examples (6)

***********


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Reg.No.:



EC2204 – SIGNALS AND SYSTEMS

Model Question Paper - I

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. Determine whether the signal x(t) = 2 cos100πt + 5 sin50t is periodic.

2. Check whether the system having input – output relation dxty

t

)()( is linear time

invariant or not.

3. Find the Fourier transform of δ(t-2)

4. Find the Laplace transform of x(t) = e-5t

u(t-1) and specify its region of convergence.

5. What are the basic steps involved in convolution integrals?

6. Find the transfer function of LTI system described by the differential equation

)(3)(

2)(2)(

3)(

2

2

txdt

tdxty

dt

tdy

dt

tyd

7. State sampling theorem.

8. Find the final value of the signal given 21 321

1)(

zzzW

9. Define system function.

10. What is the linear convolution of the two signals 2, 3, 4 and 1, -2, 1

Part – B (5 x 16 = 80 marks)

11 (a) Determine whether the following systems are linear, time invariant, memoryless,

causal and stable.

(1) )](log[)( nxny (8)


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(2) 0

)()(n

nxny (8)

(OR)

(b) (i) Let x(n) and y(n) be as given in the fig shown

Plot

(1) )2( nx

(2) )13( nx

(3) )2()2( nynx

(4) )1( ny (8)

(ii) Determine the value of power and energy for each of the signals. (8)

(1) x1(n) = ej[πn/2 + π/8]

(2) x2(n) = (1/2)n u(n)

12 (a) Let 21,2

10,)(

tt

tttx be a periodic signal with fundamental periodic T=2 and

Fourier coefficients ak.

(i) Determine the value of a0

(ii) Determine the Fourier series representation of dt

tdx )(

(iii) Use the result of part (2) and the differentiation property of continuous-

time Fourier series to help determine the Fourier series coefficients of

x(t). (16)

-3 -2 -1 0 1 2 3

1

2

n

X(n)

-4 -3 -2 -1

Y(n)

1 2 3 4 n

1

-1

3


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(OR)

(b) (i) Find the Laplace transform of )(cos)( ttuetx at

(8)

(ii) Find the inverse Laplace transform of )256)(1(

)4792(2

2

sss

ss

(8)

13 (a) (i) The system shown below is formed by connecting two systems in cascade. The

impulse responses of the systems are given by )(1 th and )(2 th respectively

)(2)(),()( 2

2

1 tuethtueth tt .

Find the overall impulse response of the system is BIBO stable. (10)

(ii) Realize the following differential equation as a direct form II structure

)(7/)(4/)(5)(8/)(7/)(4/)( 222233 txdttdxdttxdtydttdydttyddttyd (6)

(OR)

(b) Given )(tx and )(th as,

Find )(ty by convolution. (16)

14 (a) (i) Find the inverse z-transform .2,)21)(1(

3

11

)(11

1

zzz

z

zX (8)

(ii) State and prove the time shifting and differentiation in frequency properties of z-

transform. (8) (OR)

(b) (i) Find the DTFT of the given )1(2)()5.0()( nununx nn (8)

0 1

1

x(t)

t 0 1 t

1

h(t)

h1(t) h2(t) x(t) y(t)


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(ii) Find the DTFT of )(2

1)( nunx

n

and plot its spectrum. (8)

15 (a) Realize direct form –I, direct form – II, cascade and parallel realization of the discrete

time system having system function.

)4.0)(5.0)(1.0(

)2(2)(

zzzz

zzH (16)

(OR)

(b) A causal discrete-time LTI system is described by ][]2[8

1]1[

4

3][ nxnynyny

where ][nx and ][ny are the input and output of the system respectively

(i) Determine the system function )(zH (8)

(ii) Find the impulse response )(nh of the system. (8)

*********


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Reg.No.:




Model Question Paper - II

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. Is the discrete time system described by the equation m

mk

knxm

ny )(12

1)( causal or

non-causal? Why?

2. State the BIBO criterion for stability.

3. What is the transfer function of a system whose poles are at -0.3±j0.4 and a zero at -0.2?

4. Find the initial and final values for

23

5)(

2 ss

ssx

5. What is the overall impulse response of h1(t) and h2(t) when they are in (a) series and (b)

parallel?

6. Define „Transfer Function‟ in continuous-time systems.

7. State the linearity and periodicity properties of Discrete-Time fourier transform.

8. Find the z-transform of )3()()( nununx .

9. Determine the system function of the discrete system described by the difference equation

]1[][]2[4

1]1[

2

1][ nxnxnynyny

10. Draw the block diagram for 21

21

1

421)(

zz

zzzH using direct form I.

Part – B (5 x 16 = 80 marks)

11 (a) (i) Given ][][ nnxny Determine whether the system is memory less, causal, linear

and time invariant. (8)

(ii) Prove that the power of energy signal is zero over infinite time and energy of the

power signal is infinite over infinite time. (8)

(OR)


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(b) Determine whether or not each of the following continuous-time signals is

periodic. If the signal is periodic determine its fundamental period.

(1) )3/4cos(3)( ttx

(2) )()4cos()( tutEvtx

(3) ))8/cos((][ nnx

(4) )4/cos()2/cos(][ nnnx (8)

(ii) Given )()]3[cos()( txtty .Determine whether the given system is memoryless,

time invariant, linear, causal and stable. Justify your answers. (8)

12 (a) (i) Find the Fourier transform of the following signal and plot its magnitude. (8)

(ii) Find the inverse Laplace transform of the function (8)

32

73)(

2 ss

ssX Roc: Re(S) > 3

(OR)

(b) (i) Obtain the Fourier series expansion of a half wave sine wave (10)

(ii) State and prove any three properties of continuous time Fourier series. (6)

13 (a) A system is described by the differential equation (16)

).()(12/)(7/)( 22 txtydttdydttyd Use Laplace transform to determine the response

of the system to a unit step input applied at 0t . Assume the initial conditions as

2)0(y and .0/)0( dtdy

(OR)

(b) Determine the Frequency response and impulse response of the continuous time

system described by the differential equation. (16)

X(t)

1

-1

-1

1

t


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)(2)(

)(3)(

4)(

2

2

txdt

tdxty

dt

tdy

dt

tyd.

14 (a) State and prove the sampling theorem. Also explain how reconstruction of original

signal is done from the sampled signal. (16)

(OR)

(b) (i) Using residue method, find the inverse Z-transform for

2);231/()31()( 211 zzzzzX (8)

(ii) Find inverse z-transform of ))(1(

)(2

azaz

zzX . (8)

15 (a) Find the state variable matrices A, B, C and D for the input-output relation given by the

equation ]2[12]1[10][]2[4]1[6][ nxnxnxnynyny (16)

(OR)

(b) (i) Compute the linear convolution of the sequences (10)

(1) 5,4,3,2,1)(nx with 1,2,3,3,2,1)(nh

(2) 3,2,1,1)(nx with 3,2,1,0)(nh

(ii) Find the impulse response of the discrete time system described by the difference

equation ]1[][2]1[3]2[ nxnynyny (6)

*********


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Reg.No.:




Model Question Paper - III

(Regulation 2008)



Part – A (10 x 2 = 20 marks)

1. State the properties of impulse function.

2. Find the even and odd components of the signal

tttttx sincossincos)(

3. What is the relationship between Fourier transform and Laplace transform?

4. If X(jΩ) is the Fourier transform of x(t), what is the Fourier transform of x(t-2) in terms of

X(jΩ)?

5. State the properties of convolution.

6. Find the impulse response h(t) for the systems described by the differential equation

dt

tdxtxty

dt

tdy )(2)()(5

)(

7. What is meant by aliasing? How can it be avoided.

8. Find the Fourier transform of ]2[]2[][ nnnx .

9. Find the system response of )()( nunx and )1()()( nnnh

10. Realize the following system ]1[2][]1[2][ nxnxnyny in direct form I method.

Part – B (5 x 16 = 80 marks)

11 (a) (i) Test whether the following signals are periodic or not and if the signal is periodic,

calculate the fundamental period.

(1) ttutx 2sin2)(2)(


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(2) 6

10cos20)( ttx

(3) 34

cos38

sin2

cos)( nnnnx

(4) njnj

eenx 4

3

3

2

)(

(8)

(ii) (1) Find the even and odd components of the signal 3,1,2,1,2)(nx . (4)

(2) Determine the power and RMS value of the signals. (4)

3

100sin164

50cos5)(1 tttx and

tttx 10cos5cos10)(2

(or)

(b) (i) Verify whether the systems given are causal, instantaneous, linear and shift

invariant. (12)

(1) ttxty cos)()(

(2) )(log)( 10 nxny

(3) )()()( nunxny

(ii) Determine the energy of the signals (4)

)()( 3

1 tuetx t and )(3

1)(2 nunx

n

12 (a) (i) Find the complex exponential Fourier series expansion of tetx 1.0)( over the

interval -5 < t < 15sec. (10)

(ii) (1) Find the Fourier transform of )()( tuetx at (3)

(2) State and prove convolution property of Fourier Transform. (3)

(or)

(b) (i) Find the inverse Laplace transform of )12)(2/()683( 22 sssss (6)

(ii) State and prove any five properties of Laplace transform. (10)

13 (a) (i) Solve )()(

)(4)(

4)(

2

2

txdt

tdxty

dt

tdy

dt

tydif the initial conditions are

5)0(

;4

9)0(

dt

dyy if the input is )(3 tue t . (12)


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(ii) Find the step response of the system whose impulse response is )(ttu . (4)

(OR)

(b) (i) Find the convolution of )(tx and )(th given

);(sin)( ttutx )()( tuth and

);()( tuetx at )()( tueth bt (8)

(ii) Realize

)4)(3)(1(

)2()(

sss

sssH in cascade form. (8)

14 (a) (i) Find the inverse z-transform of 0,

2

11

1024

1024

1)(

1

10

z

z

zzX (8)

(ii) Given 11

1)(

azzX , az .Find )(nx by long division method. (8)

(OR)

(b) (i) Determine the sequence )(nx whose z-transform is given as (8)

21

21

2

1

2

31

21)(

zz

zzzx ROC 1z

(ii) Suppose that the algebraic expression for the z-transform of x(n) is (8)

212

2

8

3

4

51

4

11

4

11

)(

zzz

z

zX .How many different regions of

convergence could correspond to )(zX ?

14 (a) (i) Find the system function and impulse response of the system

][2]1[2

1][ nxnyny with initial condition. (8)

(ii) Find the convolution of

)(2

1)( nunx

n

and )(3

1)1()()( nunnnh

n

(8)

(OR)

(b) Consider the causal linear shift invariant filter with system function


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)7.01)(9.02.01(

875.01)(

121

1

zzz

zzH Draw the following realization structures of

the system

1. Direct Form II (6)

2. A parallel form connection of first and second order systems realized in direct

form II (10)

********


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Reg.No.:



EC2205- Electronic Circuits-I


(Regulation 2008)




1. State the need for biasing.

2. Define Stability Factor.

3. CC amplifier is used for ______; CE amplifier is used for ______.

4. Draw the hybrid model of CE configuration.

5. Define α and β cut off frequencies.

6. Draw the high frequency model of BJT amplifier.

7. Define class A amplifier.

8. Differentiate between class D and class S amplifier.

9. Define phase control.

10. Define ripple factor and TUF.

Part B-(16X5=80 Marks)

11. a) i) Derive the expressions for Stability factor S, S' and S

''. (8)

ii) With neat diagrams explain the procedure for drawing D.C, A.C load lines. (8)

(OR)

i) Derive the stability factor for voltage –divider bias. (10)

ii) In a collector-to-base CE amplifier circuit, VCC=12V, RC=250Ω, IB=0.25mA,

β=100 and VCE=8V.Calculate RB and stability factor (S.F) (6)

12. a) i) Derive AV for CD amplifier. (8)

ii) Show that boot strapping improves the i/p impedance of the amplifier. (8)

(OR)

b) Derive Ri, RO, AV, Ai for CE amplifier with emitter resistor RE. (16)


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13. a) Derive the expression for 3dB gain at mid-freq of CE amplifier. (16)

(OR)

b) i) Draw the high frequency π model of BJT and explain the parameters. (8)

ii) Derive the B cut – off frequency of CE amplifier. (8)

14. a) With neat circuits diagram, explain the operation of class A amplifier. Also

derive output power and efficiency for the same. (16)

(OR)

b) i) Derive the expression for second order distortion for class A amplifier. (8)

ii) Derive the THD for class A amplifier. (8)

15. a) Derive the explain the operation of full wave rectifier circuit; Derive the

expression for efficiency, TUF, ripple factor, PF, FF for the same. (16)

(OR)

b) Derive the expression for ripple factor for capacitor filter with its operation. (16)

*********


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Reg.No.:





(Regulation 2008)




1. What is the advantage of voltage divider (self bias) biasing?

2. List out the factors that affect the stability of amplifiers?

3. Which amplifier is called emitter follower? Why?

4. Mention the circuits that are used to improve the input impedance of an amplifier.

5. Define gain band width product of BJT.

6. Draw the high frequency equivalent circuit of FET.

7. Draw the circuits of complementary symmetry push-pull amplifier.

8. List out the applications of class C amplifiers.

9. Compare bridge and centre-tapped rectifiers.

10. Define critical resistance.


11. a) i) For a voltage divider bias circuits, R1=56KΩ,R2=12.2KΩ,Rc=2KΩ,

RE=400Ω,VCC=10V,VBE=0.7V and β=150. Determine the Q-point. (8)

ii) Write short notes on Bias compensation. (8)

(OR)

b) i) Explain the operation of voltage – divider bias circuit used to maintain the

Q point of FET with neat circuit diagram (8)

ii) Explain the operation of self- bias circuit used to maintain q point of FET

with necessary circuit diagram (8)

12. a) Derive Ri, RO, AV, Ai for emitter follower. (16)

(OR)

b) Draw the darlington circuit and derive Ri, RO, AV, Ai for it. (16)

13. a) i) Derive the gain- bandth product of BJT of CE amplifier. (8)


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ii) Draw the high frequency FET model and explain its parameters. (8)

(OR)

b) Derive AV, i/p impedance And o/p admittance of CS amplifier at higher

frequencies. (16)

14. a) Derive the expression for collector circuit efficiency for class B amplifier; Also

derive PC max for it . (16)

(OR)

b) i) Explain the operation class-B push-pull amplifier with necessary expressions. (12)

ii) List out the advantages of class B push-pull amplifier. (4)

15. a) Derive the expression for ripple factor for inductor filter with its operation. (16)

(OR)

b) Explain the operation of SMPS with block diagram. (16)

*********


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Reg.No.:





(Regulation 2008)




1. Compare the different types of biasing.

2. Mention the applications of fixed bias.

3. State Miller‟s theorem.

4. Define CMRR.

5. Define rise time and sig time of amplifiers.

6. Define gain band width product of FET.

7. What is meant by cross-over distortion.

8. How is thermal stability assured in power amplifier.

9. Define load and line regulations.

10. List out the advantages of SMPS.


11. a) i) Calculate the operating point of the self-biased FET having the supply voltage

VDD=20V, maximum value of the drain current IDSS=10mA,VGS=-3V at ID=4mA.

Also determine the values of resistors RD and RS to obtain this bias condition. (10)

ii) Calculate the values of RS required to self-bias an N- channel JFET with

IDSS=40mA, VP = -10V and VGSQ=-5V. (6)

(OR)

b) i) Write short notes on MOSFET biasing. (8)

ii) Write short notes on varistion of Q-point with hFE variations. (8)

12. a) For the emitter coupled differential amplifier derive CMRR

i) Show that the use of constant current circuit improves CMRR of differential

amplifier. (8)

ii) For a CS amplifier, RD=5KΩ, RG=10MΩ,µ=50 and rd=35kΩ.Evaluate the

voltage gain AV, i/p impedance Zi and o/p impedance ZO. (8)


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(OR)

b) i) show that the use of constant current circuit improves CMRR of differential

amplifier (8)

ii) For a CS amplifier, RD=5KΩ,RG=10MΩ,µ=50 and rd=35KΩ. Evaluate the

voltage gain AV, input impedance Zi and o/p impedance ZO. (8)

13. a) Derive AV,Yi,Ro for CD amplifier at high frequencies. (16)

(OR)

b) i) Derive the upper and lower cut off frequencies of multistage amplifiers. (8)

ii)State and prove Miller‟s theorem. (8)

14. a) i) Explain the operation of class B complementary symmetry push-pull

amplifier. (8)

ii) Write a short notes on Distortion in amplifier. (8)

(OR)

b) i) Explain the operation of class C amplifier. (8)

ii) Explain the operation of class D or class S amplifier. (8)

15. a) i) Draw and explain the operation of zener voltage regulator. (8)

ii) Design a zener voltage regulator with the VO=10V; Vin=20-30 V;

IL=(30-50)mA; I2=(20-40)mA (8)

(OR)

b) i) Write short notes on power control using SCR. (8)

ii)Write short notes on current limiting over voltage protection circuits. (8)

*********


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Documents

Answer ALL questions Part-A (10 x 2 = 20 marks) · 2018-10-09 · ECE/MQ/III SEM/ Page 1 Reg.No.: B.E./B.Tech. DEGREE EXAMINATION, November-2009 Second Year - Third Semester MA2211