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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 ( D + 3 DD' + 2D' ) z = 04. Form the partial differential equation by eliminating the arbitrary constants
a and b from (x- a ) + (y- b ) = z2cot
2 .
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 steadystate?
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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ECE/MQ/III SEM/ Page 2
f (x) = , hence deduce1n
. (16)
(OR)
(b)(i) Find the half range cosine series of f(x) = - x, 0< x < . (8)
Hence find the sum of the series + +.
(ii) Find the complex form of the Fourier series of f(x) = ex in 0. Deduce that (8)
F(x ) = i .
(ii) Show that the function is self reciprocal under Fourier transforms. (8)
13) (a) (i) Solve (x +y +yz )p + (x +y -xz) q = z(x+y) (8)
(ii) Solve ( D + 2DD' + D' )z=xy+ e
xy. (8)
(OR)
(b) (i) Solve z =px+ qy +p + qp+ q . (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 lcm long have their temperatures kept at 20c and 40c
until steady state conditions prevail. The temperature at the end A is suddenly increased
to 50c and that of B is decreased to 10c.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 0oc. 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 ztransforms. (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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ECE/MQ/III SEM/ Page 4
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year - Third Semester
MA2211TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
MODEL QUESTION PAPER -II
(Regulation 2008)
Time: Three hours Maximum marks: 100
Answer ALL questions
Part-A (10 x 2 = 20 marks)
1. If f (x) = x+x3, -
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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 2f (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 + (zx) q = z (x -y)(8)
ii) Solve ( D + 3 DD' + 2D' ) z =x +y (8)
(OR)
(b) (i) Solve p y ( 1 +x ) = qx (8)
( ii) Solve = e3x2y
+ sinx (8)
14(a) The ends A and B of a rodl cm long have their temperatures are kept at 30 c and 80 c until
steady state condition prevail. The temperature at the end B is suddenly changed to 60 c and that of
A is lowered to 40 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 pointsx= 0 andx = l apart. Motion is started by
displacing the string into the form y =k(lx-x) from which it is released at time t = 0. Find the
displacement at any point on the string at any distance xfrom 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 ) - 3y ( n + 1 ) + 2y ( n ) = 0, given that
y (0)= 4 ,y( 1 ) = 0 andy ( 2 ) = 8 . (8)
(OR)
(b)( i) Find the Z- transform of cos n and sin n , hence find Z [cos ( + ) ]. (8)
(ii) Find the Z- transform of n (n -1), n > 0. (8)
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ECE/MQ/III SEM/ Page 7
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year - Third Semester
MA2211
TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
MODEL QUESTION PAPER -III
(Regulation 2008)
Time: Three hours Maximum marks: 100
Answer ALL questions
Part-A (10 x 2 = 20 marks)
1. Find the constant term in the Fourier series corresponding to f (x) = cos
2
x 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.
PARTB (5X16=80 Marks)
11. a(i) . Obtain the Fourier series of f (x) = and
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deduce that1n
= . (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) Solve2 +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= lare 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 = , y = 0 and y = . The three sides
x = 0 ,x = a and y = b are kept at 00 c, and the temperature along x axis is x-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+25 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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ECE/MQ/III SEM/ Page 10
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year - Third Semester
EC2201- ELECTRICAL ENGINEERING
MODEL QUESTION PAPER -I
(Regulation 2008)
Time: Three Hours Maximum Marks: 100
ANSWER ALL QUESTIONS
PartA (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 motor5. 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?
PartB (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 Swinburnes test (8)
(ii) Derive the Emf equation of a DC machine. How can its
direction be obtained? (8)
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ECE/MQ/III SEM/ Page 11
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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ECE/MQ/III SEM/ Page 12
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year - Third Semester
EC2201- ELECTRICAL ENGINEERING
MODEL QUESTION PAPER -II
(Regulation 2008)
Time: Three Hours Maximum Marks: 100
ANSWER ALL QUESTIONS
PartA (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.
PartB (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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ECE/MQ/III SEM/ Page 13
(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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ECE/MQ/III SEM/ Page 14
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year - Third Semester
EC2201- ELECTRICAL ENGINEERING
MODEL QUESTION PAPER -III
(Regulation 2008)
Time: Three Hours Maximum Marks: 100
ANSWER ALL QUESTIONS
PartA (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.
PartB (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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ECE/MQ/III SEM/ Page 16
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
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
ANSWER ALL QUESTIONS
PartA (10 x 2 = 20 marks)1. Define thispointer 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?
PartB (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, 9Write Algorithm for inserting an element in AVL Tree & Write suitable rotations
Algorithm. (16)
(OR)
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b) Explain Dijkstras algorithm using the following graph. Find the shortest path btVI 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)
*************
V1
V7V6
V4
V3V5
V2
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ECE/MQ/III SEM/ Page 18
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2202 - Data Structures and Object oriented Programming in C++
Model Question Paper-II
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
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& queue6. 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?
PartB (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 treeand delete the nodes 25,75,44 from the tree. (16)
(OR)
b) Explain Prims 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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2202 - Data Structures and Object oriented Programming in C++
Model Question Paper-III
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
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 polymorphism4. 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: 15,25,70,07,11,65,81,5710.What is meant by divide and conquer method?
PartB (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 numberin 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 ofnumbers 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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2203- Digital Electronics
Model Question Paper-I
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
Part A-(10X2=20 Marks)
1. Express F = A + BC 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=AB +ABC+ABC+ABC+ABC (4)
(ii) Implement the Boolean expression using gatesX = (AB + C)D + E (4)
(iii) Find the minimal sum of products for the Boolean Expressionf = (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? ExplainUniversal 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) = (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 Moores Machine using ASM Chart. (4)
***********
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Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2203- Digital Electronics
Model Question Paper-II
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
Part A-(10X2=20 Marks)
1. Define Demorgans theorem and principle of duality.2. Implement F = (AB + AB) (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 flipflop.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
ABC + ABC +ABC +ABC+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) = m(1,3,7,11,15) + d(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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ECE/MQ/III SEM/ Page 25
(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 168 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) = (0,1,2,4), F2(A,B,C) = (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 x1and x2and output Z .Initially both inputs are equal to zero. When x1or x2becomes 1,
the output Z becomes 1.When the second input also becomes 1, the outputchanges 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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ECE/MQ/III SEM/ Page 26
Reg.No.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2203- Digital Electronics
Model Question Paper-III
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
Part A-(10X2=20 Marks
1. Draw the logic diagram for X = AB + BC.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 Demorgans theorem to the following expression ((A+B+C) D) (4)
(iii) Using Boolean laws and rules simplify the logic expressionZ = (A+B) (A+B) (4)
(iv) Sketch NANDNAND logic circuit for the Boolean expressionY = AB + AC + BD (8)
(OR)
(b) (i) Realise XOR and XNOR using basic gates, NANDImplementation 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= (2,12,13), F2= (7,8,9,10,11,12,13,14,15),
F3= (0,2,3,4,5,6,7,8,10,11,15) , F4= (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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2204SIGNALS AND SYSTEMS
Model Question Paper - I
(Regulation 2008)
Time: Three Hours Maximum Marks: 100
ANSWER ALL QUESTIONS
PartA (10 x 2 = 20 marks)
1. Determine whether the signal x(t) = 2 cos100t + 5 sin50t is periodic.
2. Check whether the system having inputoutput relation dxtyt
)()( is linear time
invariant or not.
3. Find the Fourier transform of (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 given21 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[n/2 + /8](2) x2(n) = (1/2)nu(n)
12 (a) Let21,2
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)(),()( 22
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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ECE/MQ/III SEM/ Page 31
(ii) Find the DTFT of )(2
1)( nunx
n
and plot its spectrum. (8)
15 (a) Realize direct formI, direct formII, cascade and parallel realization of the discretetime 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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2204
SIGNALS AND SYSTEMS
Model Question Paper - II
(Regulation 2008)
Time: Three Hours Maximum Marks: 100
ANSWER ALL QUESTIONS
PartA (10 x 2 = 20 marks)
1. Is the discrete time system described by the equation
m
mkknxmny )(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 -0.3j0.4 and a zero at -0.2?
4. Find the initial and final values for
23
5)(
2ss
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 for21
21
1
421)(
zz
zzzH using direct form I.
PartB (5 x 16 = 80 marks)
11(a) (i) Given ][][ nnxny Determine whether the system is memory less, causal, linearand 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) )}()4{cos()( 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)
3273)(
2ss
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 as2)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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ECE/MQ/III SEM/ Page 34
)(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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2204SIGNALS AND SYSTEMS
Model Question Paper - III
(Regulation 2008)
Time: Three Hours Maximum Marks: 100
ANSWER ALL QUESTIONS
PartA (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 transformand Laplace transform?
4. If X(j) is the Fourier transform of x(t), what is the Fourier transform of x(t-2) in terms of
X(j)?
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.PartB (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 43
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)
3100sin16
450cos5)(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 theinterval -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 )(
3tue
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) Given1
11)(az
zX , 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
zzX .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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ECE/MQ/III SEM/ Page 38
)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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2205- Electronic Circuits-I
Model Question Paper-I
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
Part A-(10X2=20 Marks)
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 and 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 voltagedivider bias. (10)ii) In a collector-to-base CE amplifier circuit, VCC=12V, RC=250, IB=0.25mA,
=100 and VCE=8V.Calculate RB and stability factor (S.F) (6)
12.a) i) Derive AVfor CD amplifier. (8)ii) Show that boot strapping improves the i/p impedance of the amplifier. (8)
(OR)
b) Derive Ri, RO, AV, Aifor 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 model of BJT and explain the parameters. (8)ii) Derive the B cutoff frequency of CE amplifier. (8)
14.a) With neat circuits diagram, explain the operation of class A amplifier. Alsoderive 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 theexpression 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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2205- Electronic Circuits-I
Model Question Paper-II
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
Part A-(10X2=20 Marks)
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.
Part B-(16X5=80 Marks)
11.a) i) For a voltage divider bias circuits, R1=56K,R2=12.2K,Rc=2K,RE=400,VCC=10V,VBE=0.7V and =150. Determine the Q-point. (8)
ii) Write short notes on Bias compensation. (8)
(OR)
b) i) Explain the operation of voltagedivider bias circuit used to maintain theQ 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, Aifor emitter follower. (16)(OR)
b) Draw the darlington circuit and derive Ri, RO, AV, Aifor 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; Alsoderive PC maxfor 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.:
B.E./B.Tech. DEGREE EXAMINATION, November-2009
Second Year- Third Semester
EC2205- Electronic Circuits-I
Model Question Paper-III
(Regulation 2008)
Time : Three Hours Maximum Marks:100
ANSWER ALL QUESTIONS
Part A-(10X2=20 Marks)
1. Compare the different types of biasing.2. Mention the applications of fixed bias.3. State Millers 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-overdistortion.8. How is thermal stability assured in power amplifier.9. Define load and line regulations.10.List out the advantages of SMPS.
Part B-(16X5=80 Marks)
11.a) i) Calculate the operating point of the self-biased FET having the supply voltageVDD=20V, maximum value of the drain current IDSS=10mA,VGS=-3V at ID=4mA.
Also determine the values of resistors RDand RSto obtain this bias condition. (10)
ii) Calculate the values of RSrequired 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 hFEvariations. (8)
12.a) For the emitter coupled differential amplifier derive CMRRi) Show that the use of constant current circuit improves CMRR of differential
amplifier. (8)
ii) For a CS amplifier, RD=5K, RG=10M,=50 and rd=35k.Evaluate thevoltage gain AV, i/p impedance Ziand 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=5K,RG=10M,=50 and rd=35K. Evaluate the
voltage gain AV, input impedance Zi and o/p impedance ZO. (8)
13.a) Derive AV,Yi,Rofor CD amplifier at high frequencies. (16)(OR)
b) i) Derive the upper and lower cut off frequencies of multistage amplifiers. (8)
ii)State andprove Millers theorem. (8)
14.a) i) Explain the operation of class B complementary symmetry push-pullamplifier. (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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