1

V.S.B. ENGINEERING COLLEGE, KARUR

DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

ACADEMIC YEAR 2018-19 (ODD SEMESTER)

ASSIGNMENT QUESTIONS

CLASS II YEAR/ III SEMESTER

S.NO SUBJECT CODE SUBJECT NAME PAGE NO

1 EC8353 Electron Devices and Circuits 2

2 EE8301 Electrical Machines-I 5

3 EE8391 Electromagnetic Theory 9

4 ME8792 Power Plant Engineering 12

5 EE8351 Digital Logic Circuits 15

6 MA8353 Transforms and Partial Differential

Equations 22

2

V.S.B. ENGINEERING COLLEGE, KARUR Department of Electrical and Electronics Engineering

Academic Year: 2018- 2019 (ODD Semester)

Assignment Questions

Class: II Year III Semester

Name of Subject: EC8353 – Electron Devices and Circuits

Name of Faculty member: M.Iyappan

Sl. No. Reg. No. Name of the Student Assignment Questions

1. 922517105001 ANANTHAKRISHNAN R Study of switching devices

2. 922517105002 ANUSUYA M Diode

3. 922517105003 ARAVINDHAN D SCR

4. 922517105004 ARAVINTH V Driver circuit for SCR

5. 922517105005 AVINASH M Commutation circuit for SCR

6. 922517105006 BHARATH B TRIAC

7. 922517105007 CEBU ANAND A MOSFET

8. 922517105008 DEVAKI S BJT

9. 922517105009 DHARANI G IGBT- Static and dynamic characteristics

10. 922517105011 DHILIPAN G GTO

11. 922517105013 GOBINATH P Design of driver and snubber circuit.

12. 922517105014 GOPI G SCR

13. 922517105015 JAYANTHI R Single phase half and full wave - 2 pulse converters

14. 922517105016 JEEVITHA K Single phase semi and full converters - 2 pulse converters

15. 922517105017 KANAGARAJ B 3 pulse converters

16. 922517105018 KANIMOZHI B 3 pulse converters

17. 922517105019 KARTHICK C 6 pulse converters

18. 922517105020 KAVIN L Boost converter

19. 922517105021 KAVIYA S Performance parameters

20. 922517105022 KEERTHIKA M Effect of source inductance

3

Sl. No. Reg. No. Name of the Student Assignment Questions

21. 922517105023 KISHORE KABRIN J Gate circuit schemes for phase control

22. 922517105024 KISHORE KUMAR A Three phase voltage source inverters - 1200 mode(Waveform)

23. 922517105025 LAVANYA S Dual converters

24. 922517105026 MADHUMITHA S 6 pulse converters

25. 922517105027 MAHESH BOOPATHI S Step down chopper

26. 922517105029 MANOJ KUMAR B Step up chopper

27. 922517105030 MONICA S Control strategy

28. 922517105031 MOUNIKA S Forced commutated, voltage commutated choppers

29. 922517105032 MUKILAN S Current commutated choppers

30. 922517105033 NAVI J Load commutated choppers

31. 922517105034 OBILISAMY K Switched mode regulators

32. 922517105035 OVIYA P Dual converters

33. 922517105036 PRABHA R 6 pulse converters

34. 922517105037 PRAGALATHAN E Three phase voltage source inverters - 1800 mode (Waveform)

35. 922517105039 PRAVEEN KUMAR N Introduction to resonant converters

36. 922517105040 PRAVEEN T Three phase voltage source inverters - 1200 mode

37. 922517105041 RAJESHWARAN M Single phase inverters

38. 922517105042 RAVINDRAN R Single phase inverters

39. 922517105044 SAKTHIVEL T Switched mode regulators

40. 922517105045 SANGAVI B Buck converter

41. 922517105046 SEDHUPATHY S Three phase voltage source inverters - 1800 mode

42. 922517105047 SHANMUGAPRIYA M Buck - Boost converter

43. 922517105048 SHARUMATHI R Voltage control of inverters

44. 922517105049 SIVAGOKUL S Harmonics control of inverters

45. 922517105050 SIVA SABARISH U

PWM techniques: Sinusoidal PWM, Modified Sinusoidal PWM and Multiple

PWM

46. 922517105051 SOWMIYA K Three phase inverters

4

Sl. No. Reg. No. Name of the Student Assignment Questions

47. 922517105052 SRIDHAR K Current source inverter

48. 922517105053 SUBASH S Introduction to space vector modulation

49. 922517105054 SUTHAN N S Single phase AC voltage controllers

50. 922517105055 TAMILVANAN R Single phase AC voltage controllers

51. 922517105056 THARANITHARAN C Three phase AC voltage controllers

52. 922517105057 VASANTHAKUMAR A Three phase AC voltage controllers

53. 922517105058 VIGNESH R Control strategy

54. 922517105059 VIGNESHWARAN A Power factor control

55. 922517105060 VIKASH KUMAR R Multi stage sequence control

56. 922517105061 YUVASRI S Three phase cyclo converters

57. ARUNMOZHI M Single phase cyclo converters

58. NAGARAJA P Three phase cyclo converters

Signature of the faculty with date: HOD

5

V.S.B. ENGINEERING COLLEGE, KARUR Department of Electrical and Electronics Engineering

Academic Year: 2018- 2019 (ODD Semester)

Assignment Questions

Class: II Year III Semester

Name of Subject: EE8301 – Electrical Machines-I

Name of Faculty member: Ramachandran.M AP/EEE

Sl.

No.

Reg. No. Name of the Student Assignment Questions

1. 922517105001 ANANTHAKRISHNAN R Enlighten about B-H curve and discuss the practical use of B-H curve

2. 922517105002 ANUSUYA M Elucidate the cooling methods used in transformer in various industries

3. 922517105003 ARAVINDHAN D Make clear the working of linear machines with neat diagram

4. 922517105004 ARAVINTH V Illustrate the Parallel operation of generator and list the condition for parallel operation.

5. 922517105005 AVINASH M Why break test on D.C motor is not preferable and mention the advantage and disadvantage

of break test. 6. 922517105006 BHARATH B Discuss how to reduce various losses in transformer.

7. 922517105007 CEBU ANAND A Make clear the working of non linear machines with neat diagram

8. 922517105008 DEVAKI S Discuss the working of universal motor

9. 922517105009 DHARANI G Illustrate the dark lamp method for the parallel operation of generator.

10. 922517105011 DHILIPAN G Illustrate the bright lamp method for the parallel operation of generator.

11. 922517105013 GOBINATH P The primary of the transformer is rated at 10A and 1000V The open circuit reading are

V1=1000V,V2=500 V,I=0.42 A,Poc=100 W.The short circuit reading are I1=10 A,V1=125 V and

Psc=400 W.Draw the equivalent circuit for transformer.Predict the output voltage for the load

impedance Zl=19+i20 ohms

12. 922517105014 GOPI G A 100 kVA, 3300 V/240 V,50 Hz, Single phase transformer has 990 turns on the

primary.Calculate the number of turns on secondary and the approximate value of primary and

secondary full load currents. 13. 922517105015 JAYANTHI R Explain the working of stepper motor.

14. 922517105016 JEEVITHA K A 4 pole, lap wound, d.c. generators has 42 coils with 8 turns per coil. it is driven at 1120 r.p.m.if

useful flux per pole is 21mWb,calculate the generated e.m.f.Find the speed at which it is to be

driven to generate the same emf as calculate above with wave wound armature.

6

Sl.

No.

Reg. No. Name of the Student Assignment Questions

15. 922517105017 KANAGARAJ B Illustrate the dark lamp method for the parallel operation of generator.

16. 922517105018 KANIMOZHI B Explain the working of Switched reluctance motor.

17. 922517105019 KARTHICK C Convert 2 winding transformer into 3 winding transformer.

18. 922517105020 KAVIN L Draw the equivalent circuit for a single phase 1100/220 V transformer on which the following

results were obtained:

i) 1100 V,0.5 A,55 W on primary,secondary being open circuited

ii) 10 V,80 A,400 W on L.V side,H.V being shot circuited.

Calculate the voltage regulation and efficiency for the above transformer when supplying 100 A

at 0.8 pf lagging. 19. 922517105021 KAVIYA S A 4 pole DC shunt generator with lap connected armature supplies 5 KW at 230 Volt. The

armature and field copper loss are 360 Watt and 200 Watts respectively.Calulate the armature

current and generated EMF.

20. 922517105022 KEERTHIKA M Determine developed torque and shaft torque of 220V, 4 pole series motor with 800 conductors

wave-connected supplying a load of 8.2 kW by taking 45A from the mains. The flux per pole is

25m/Wb and its armature circuit resistance is 0.6Ώ. 21. 922517105023 KISHORE KABRIN J Calculate the efficiency at half, full load of a 100 kVA transformer for power factor of unity

and 0.8.The copper loss is 1000 W at full load and iron loss is 1000 W 22. 922517105024 KISHORE KUMAR A The e.m.f per turn of a single phase 6.6 kv,440 V,50 Hz transformer is approximately

12 V.Calculate number of turns in the HV and LV winding and the net cross sectional

area of the core for a maximum flux density of 1.5 T

23. 922517105025 LAVANYA S A compound generator has armature, series and shunt field resistance of 0.8Ω,0.2Ω and 50Ω

respectively, and supplies 5kW at 230 V.Calculate the emf generated in the armature, when it is

connected as (i) long shunt (ii) short shunt.

24. 922517105026 MADHUMITHA S A 500 kVA Transformer has a core loss of 2200 watts and a full load copper loss of 7500

watts, if the power factor of the load is 0.90 lagging, Calculate the full load efficiency and

the kVA load at which maximum efficiency occurs. 25. 922517105027 MAHESH BOOPATHI S Explain the saving of copper in autotransformer.

26. 922517105029 MANOJ KUMAR B Two coupled coils have self and mutual inductance of L11=2+1/(2x); L22=1+1/(2x): L12=

L21=1/(2x). Over a certain range of linear displacement x. The first coil is excited by a

constant

current of 20A and the second by a constant current of -10A.

a. Mechanical work done if x changes from 0.5to1m

Energy supplied by each electrical source in part.

7

Sl.

No.

Reg. No. Name of the Student Assignment Questions

27. 922517105030 MONICA S Enlighten about B-H curve and discuss the practical use of B-H curve

28. 922517105031 MOUNIKA S Elucidate the cooling methods used in transformer in various industries

29. 922517105032 MUKILAN S Make clear the working of linear machines with neat diagram

30. 922517105033 NAVI J Illustrate the Parallel operation of generator and list the condition for parallel operation.

31. 922517105034 OBILISAMY K Why break test on D.C motor is not preferable and mention the advantage and disadvantage

of break test. 32. 922517105035 OVIYA P Discuss how to reduce various losses in transformer.

33. 922517105036 PRABHA R Make clear the working of non linear machines with neat diagram

34. 922517105037 PRAGALATHAN E Discuss the working of universal motor

35. 922517105038 PRASANTH M Illustrate the dark lamp method for the parallel operation of generator.

36. 922517105039 PRAVEEN KUMAR N Illustrate the bright lamp method for the parallel operation of generator.

37. 922517105040 PRAVEEN T The primary of the transformer is rated at 10A and 1000V The open circuit reading are

V1=1000V,V2=500 V,I=0.42 A,Poc=100 W.The short circuit reading are I1=10 A,V1=125 V and

Psc=400 W.Draw the equivalent circuit for transformer.Predict the output voltage for the load

impedance Zl=19+i20 ohms 38. 922517105041 RAJESHWARAN M Explain the working of Switched reluctance motor.

39. 922517105042 RAVINDRAN R Convert 2 winding transformer into 3 winding transformer.

40. 922517105044 SAKTHIVEL T Calculate the efficiency at half, full load of a 100 kVA transformer for power factor of unity

and 0.8.The copper loss is 1000 W at full load and iron loss is 1000 W

41. 922517105045 SANGAVI B The no load test of a 44.76 kW,220 V d.c shunt motor gave the following result:input current =

13.25A,Field current = 2.55A,Resistance of armature at 750C = 0.032Ω, Brush drop = 2V.

Estimate the full load current and Efficiency 42. 922517105046 SEDHUPATHY S Enlighten about B-H curve and discuss the practical use of B-H curve

43. 922517105047 SHANMUGAPRIYA M Elucidate the cooling methods used in transformer in various industries

44. 922517105048 SHARUMATHI R Make clear the working of linear machines with neat diagram

45. 922517105049 SIVAGOKUL S Illustrate the Parallel operation of generator and list the condition for parallel operation.

46. 922517105050 SIVA SABARISH U Why break test on D.C motor is not preferable and mention the advantage and disadvantage

of break test. 47. 922517105051 SOWMIYA K Discuss how to reduce various losses in transformer.

8

Sl.

No.

Reg. No. Name of the Student Assignment Questions

48. 922517105052 SRIDHAR K Make clear the working of non linear machines with neat diagram

49. 922517105053 SUBASH S Discuss the working of universal motor

50. 922517105054 SUTHAN N S Illustrate the dark lamp method for the parallel operation of generator.

51. 922517105055 TAMILVANAN R Illustrate the bright lamp method for the parallel operation of generator.

52. 922517105056 THARANITHARAN C Discuss the working of variable reluctance motor.

53. 922517105057 VASANTHAKUMAR A How we protect transformer from over voltage.

54. 922517105058 VIGNESH R A 500 kVA Transformer has a core loss of 2200 watts and a full load copper loss of 7500

watts, if the power factor of the load is 0.90 lagging, Calculate the full load efficiency and

the kVA load at which maximum efficiency occurs.

55. 922517105059 VIGNESHWARAN A Discuss what happen when we apply D.C supply to Transformer.

56. 922517105060 VIKASH KUMAR R Discuss if it is possible to use motor as a generator.

57. 922517105061 YUVASRI S Discuss the constructional difference between A.C and D.C machines

58. ARUN MOZHI Explain the types of speed control technique used in cotton industries

59. NAGARAJA P Elucidate the cooling methods used in transformer in various industries

Signature of the faculty with date: HOD

9

V.S.B. ENGINEERING COLLEGE, KARUR Department of Electrical and Electronics Engineering

Academic Year: 2018- 2019 (ODD Semester)

Assignment Questions

Class: II Year III Semester

Name of Subject: EE8391 – Electromagnetic Theory

Name of Faculty member: Preetha S AP/EEE

Sl.

No.

Reg. No. Name of the Student Assignment Questions

1. 922517105001 ANANTHAKRISHNAN R Explain in detail about Conductors and dielectrics in Static Electric Field,

2. 922517105002 ANUSUYA M Explain in detail about Current and current density

3. 922517105003 ARAVINDHAN D Explain in detail about Continuity equation

4. 922517105004 ARAVINTH V Explain in detail about Polarization

5. 922517105005 AVINASH M Explain in detail about Method of images

6. 922517105006 BHARATH B Explain in detail about Force on a moving charge,

7. 922517105007 CEBU ANAND A Explain in detail about Force on a differential current element

8. 922517105008 DEVAKI S Explain in detail about Force between current elements

9. 922517105009 DHARANI G Explain in detail about Force and torque on a closed circuit

10. 922517105011 DHILIPAN G Explain in detail about The nature of magnetic materials, Magnetization and permeability,

11. 922517105013 GOBINATH P Explain in detail about Fundamental relations for Electrostatic and Magnetostatic fields,

12. 922517105014 GOPI G Explain in detail about Electromagnetic Spectrum.

13. 922517105015 JAYANTHI R Explain in detail about Electric Fields in Material Space

14. 922517105016 JEEVITHA K Explain in detail about Electrostatic Boundary Value Problem

15. 922517105017 KANAGARAJ B Explain in detail about Magnetic Forces and Material

16. 922517105018 KANIMOZHI B Explain in detail about EM Wave Propagation

17. 922517105019 KARTHICK C Explain in detail about Transmission Line Primary Parameters

18. 922517105020 KAVIN L Explain in detail about Types of Transmission Lines

19. 922517105021 KAVIYA S Explain in detail about Lossless and Distortionless Line

20. 922517105022 KEERTHIKA M Explain in detail about Short and Open Circuit Lines

21. 922517105023 KISHORE KABRIN J Explain in detail about Reflection and Transmission Coefficients

10

Sl.

No.

Reg. No. Name of the Student Assignment Questions

22. 922517105024 KISHORE KUMAR A Explain in detail about Power, Power Loss and Return Loss

23. 922517105025 LAVANYA S Explain in detail about Transverse Electric Magnetic Waves(TEM)

24. 922517105026 MADHUMITHA S Explain in detail about Transmission Line Primary Parameters

25. 922517105027 MAHESH BOOPATHI S Explain in detail about Transmission Line Secondary Parameters

26. 922517105029 MANOJ KUMAR B Explain in detail about Snell Law and Critical Angle

27. 922517105030 MONICA S Explain in detail about Refractive Index and Numerical Aperture

28. 922517105031 MOUNIKA S Explain in detail about Conductors and dielectrics in Static Electric Field,

29. 922517105032 MUKILAN S Explain in detail about Current and current density

30. 922517105033 NAVI J Explain in detail about Continuity equation

31. 922517105034 OBILISAMY K Explain in detail about Polarization

32. 922517105035 OVIYA P Explain in detail about Method of images

33. 922517105036 PRABHA R Explain in detail about Force on a moving charge,

34. 922517105037 PRAGALATHAN E Explain in detail about Force on a differential current element

35. 922517105038 PRASANTH M Explain in detail about Force between current elements

36. 922517105039 PRAVEEN KUMAR N Explain in detail about Force and torque on a closed circuit

37. 922517105040 PRAVEEN T Explain in detail about The nature of magnetic materials, Magnetization and permeability,

38. 922517105041 RAJESHWARAN M Explain in detail about Fundamental relations for Electrostatic and Magnetostatic fields,

39. 922517105042 RAVINDRAN R Explain in detail about Electromagnetic Spectrum.

40. 922517105044 SAKTHIVEL T Explain in detail about Electric Fields in Material Space

41. 922517105045 SANGAVI B Explain in detail about Electrostatic Boundary Value Problem

42. 922517105046 SEDHUPATHY S Explain in detail about Magnetic Forces and Material

43. 922517105047 SHANMUGAPRIYA M Explain in detail about EM Wave Propagation

44. 922517105048 SHARUMATHI R Explain in detail about Transmission Line Primary Parameters

45. 922517105049 SIVAGOKUL S Explain in detail about Types of Transmission Lines

46. 922517105050 SIVA SABARISH U Explain in detail about Lossless and Distortionless Line

47. 922517105051 SOWMIYA K Explain in detail about Short and Open Circuit Lines

48. 922517105052 SRIDHAR K Explain in detail about Reflection and Transmission Coefficients

49. 922517105053 SUBASH S Explain in detail about Power, Power Loss and Return Loss

11

Sl.

No.

Reg. No. Name of the Student Assignment Questions

50. 922517105054 SUTHAN N S Explain in detail about Transverse Electric Magnetic Waves(TEM)

51. 922517105055 TAMILVANAN R Explain in detail about Transmission Line Primary Parameters

52. 922517105056 THARANITHARAN C Explain in detail about Transmission Line Secondary Parameters

53. 922517105057 VASANTHAKUMAR A Explain in detail about Snell Law and Critical Angle

54. 922517105058 VIGNESH R Explain in detail about Refractive Index and Numerical Aperture

55. 922517105059 VIGNESHWARAN A Explain in detail about Conductors and dielectrics in Static Electric Field,

56. 922517105060 VIKASH KUMAR R Explain in detail about Current and current density

57. 922517105061 YUVASRI S Explain in detail about Continuity equation

58. ARUN MOZHI Explain in detail about Polarization

59. NAGARAJA P Explain in detail about Method of images

Signature of the faculty with date: HOD

12

V.S.B. ENGINEERING COLLEGE, KARUR Department of Electrical and Electronics Engineering

Academic Year: 2018- 2019 (ODD Semester)

Assignment Questions

Class: II Year III Semester

Name of Subject: EE8792– Power Plant Engineering

Name of Faculty member: S.Muthu kumar

Sl.

No. Reg.No. Student Name

Assignment topic

1 922517105001 ANANTHAKRISHNAN R Write detailed notes on present status of power generation on india.

2 922517105002 ANUSUYA M Draw general lay of modern steam power plant label major components and state

functions of each component.

3 922517105003 ARAVINDHAN D Draw neat named general layout of modern thermal power plant. Explain four main

circuits. List various factors to consider for site selection of thermal power station.

4 922517105004 ARAVINTH V Name factors to be considered for selection of site for thermal power stations.

5 922517105005 AVINASH M Explain the constructional difference between low pressuer and High pressure boiler.

6 922517105006 BHARATH B Explain with neat sketch construction and working of Lamont boiler.

7 922517105007 CEBU ANAND A Explain with neat sketch construction and working of Benson boiler.

8 922517105008 DEVAKI S Draw with neat sketch of once through drum less boiler. What are its advantages over

conventional high pressure boilers?

9 922517105009 DHARANI G Draw a neat line diagram of a Benson boiler. State main difficulty experienced in the

Lamont boiler and how it is prevented. Explain its advantages.

10 922517105011 DHILIPAN G Explain construction and working of Loffeler boiler. Also explain starting of Loffeler

boiler.

11 922517105013 GOBINATH P With neat sketch explain construction and working of Schmidt-hartmann boiler.

12 922517105014 GOPI G Draw line diagram of Velox boiler. Indicate all part of it. How it different from the

other type of high pressure boiler?

13 922517105015 JAYANTHI R Explain the working of pressurized fluidized bed combustion boiler with help of neat

sketch. List advantages and Limitations.

14 922517105016 JEEVITHA K Explain the working principle of fluidized bed boiler with necessary diagram. How

sulfur and Nitrogen emissions are controlled in fluidized bed boiler?

15 922517105017 KANAGARAJ B Discuss the principle of operation of overfeed and underfeed stokers with help of

13

simple diagrams. Which is preferred for high volatile coal and Why?

16 922517105018 KANIMOZHI B Classify stokers and explain any one overfeed stoker with necessary diagram.

17 922517105019 KARTHICK C Explain the travelling grate stoker with help of neat sketch.

18 922517105020 KAVIN L Classify pulverized mill used in modern power plant. Explain any one with neat

sketch.

19 922517105021 KAVIYA S Discuss the requirements of good oil burner. Explain different types of pulverizing

fuel burners.

20 922517105022 KEERTHIKA M Why ash handling problem is more difficult than coal handling problems? Also

explain requirements of good ash handling systems.

21 922517105023 KISHORE KABRIN J Explain the working of Electrostatic precipitator with neat sketch.

22 922517105024 KISHORE KUMAR A Explain the metastable flow of steam through a nozzle and the significance of

Wilson’s line.

23 922517105025 LAVANYA S Explain the effect of varying the back pressure in convergent – divergent nozzle.

24 922517105026 MADHUMITHA S Describe the different types of nozzles with neat sketch. State the function of Nozzles.

25 922517105027 MAHESH BOOPATHI S Explain the working of Pass- out turbine.

26 922517105029 MANOJ KUMAR B Define the term “Degree of Reaction”. Explain Parson’s reaction turbine.

27 922517105030 MONICA S What is meant by Uranium enrichment? Describe some methods of Uranium

enrichment. Compare economic cost of nuclear power plant with steam power plant.

28 922517105031 MOUNIKA S Describe nuclear fuel briefly. Explain nuclear waste and its disposal.

29 922517105032 MUKILAN S Explain with neat sketch “Ram jet engine”.

30 922517105033 NAVI J Draw schematic diagram of turbo jet engine and explain its working. List advantages

and disadvantages of jet engine.

31 922517105034 OBILISAMY K Explain basic working principle of rocket engine with neat sketch.

32 922517105035 OVIYA P Explain diversity factors and its importance. Define depreciation and explain its

significance.

33 922517105036 PRABHA R Write detailed notes on present status of power generation on india.

34 922517105037 PRAGALATHAN E Draw general lay of modern steam power plant label major components and state

functions of each component.

35 922517105038 PRASANTH M Draw schematic diagram of turbo jet engine and explain its working. List advantages

and disadvantages of jet engine.

36 922517105039 PRAVEEN KUMAR N Name factors to be considered for selection of site for thermal power stations.

37 922517105040 PRAVEEN T Explain the constructional difference between low pressuer and High pressure boiler.

38 922517105041 RAJESHWARAN M Explain with neat sketch construction and working of Lamont boiler.

39 922517105042 RAVINDRAN R Explain with neat sketch construction and working of Benson boiler.

40 922517105044 SAKTHIVEL T Draw with neat sketch of once through drum less boiler. What are its advantages over

conventional high pressure boilers?

14

41 922517105045 SANGAVI B Describe nuclear fuel briefly. Explain nuclear waste and its disposal

42 922517105046 SEDHUPATHY S Explain construction and working of Loffeler boiler. Also explain starting of Loffeler

boiler.

43 922517105047 SHANMUGAPRIYA M With neat sketch explain construction and working of Schmidt-hartmann boiler.

44 922517105048 SHARUMATHI R Draw line diagram of Velox boiler. Indicate all part of it. How it different from the

other type of high pressure boiler?

45 922517105049 SIVAGOKUL S Explain the working of pressurized fluidized bed combustion boiler with help of neat

sketch. List advantages and Limitations.

46 922517105050 SIVA SABARISH U Explain the working principle of fluidized bed boiler with necessary diagram. How

sulfur and Nitrogen emissions are controlled in fluidized bed boiler?

47 922517105051 SOWMIYA K Discuss the principle of operation of overfeed and underfeed stokers with help of

simple diagrams. Which is preferred for high volatile coal and Why?

48 922517105052 SRIDHAR K Classify stokers and explain any one overfeed stoker with necessary diagram.

49 922517105053 SUBASH S Explain the travelling grate stoker with help of neat sketch.

50 922517105054 SUTHAN N S Classify pulverized mill used in modern power plant. Explain any one with neat

sketch.

51 922517105055 TAMILVANAN R Discuss the requirements of good oil burner. Explain different types of pulverizing

fuel burners.

52 922517105056 THARANITHARAN C Why ash handling problem is more difficult than coal handling problems? Also

explain requirements of good ash handling systems.

53 922517105057 VASANTHAKUMAR A Explain the working of Electrostatic precipitator with neat sketch.

54 922517105058 VIGNESH R Explain the metastable flow of steam through a nozzle and the significance of

Wilson’s line.

55 922517105059 VIGNESHWARAN A Explain the effect of varying the back pressure in convergent – divergent nozzle.

56 922517105060 VIKASH KUMAR R Describe the different types of nozzles with neat sketch. State the function of Nozzles.

57 922517105061 YUVASRI S Explain the working of Pass- out turbine.

58 922517105301 ARUNMOZHI M Define the term “Degree of Reaction”. Explain Parson’s reaction turbine.

59 922517105302 NAGARAJA What is meant by Uranium enrichment? Describe some methods of Uranium

enrichment. Compare economic cost of nuclear power plant with steam power plant.

Signature of the faculty with date: HOD

15

V.S.B. ENGINEERING COLLEGE, KARUR Department of Electrical and Electronics Engineering

Academic Year: 2018- 2019 (ODD Semester)

Assignment Questions

Class: II Year III Semester

Name of Subject: EE8351 – Digital Logic Circuits

Name of Faculty member: S.Ramachandran

Sl. No. Reg. No. Name of the Student Assignment Questions

1. 922517105001 ANANTHAKRISHNAN R Practical Examples in Digital Logic Design – Vending Machine.

2. 922517105002 ANUSUYA M Practical Examples in Digital Logic Design – Digital Clock (24HRS).

3. 922517105003 ARAVINDHAN D Practical Examples in Digital Logic Design – Digital Clock (12HRS).

4.

922517105004 ARAVINTH V

(i) How many 128× 8 RAM chips are required to provide a memory capacity of

2048 bytes?

(ii) How many lines of address bus must be used to access 2048 bytes of

memory, How many lines of these will be common to each chip?

5. 922517105005 AVINASH M Practical Examples in Digital Logic Design – Design of memory using FPGA.

6.

922517105006 BHARATH B

1. What are universal gates? Construct a logic circuit using NAND gates only

for the expression x =A. (B + C).

2. Discuss in detail, the working of Full Adder logic circuit and extend your

discussion to explain a binary adder, which can be used to add two binary

numbers.

7. 922517105007 CEBU ANAND A

What is a flip-flop? What is the difference between a latch and a flip-flop? List

out the application of flip-flop.

8. 922517105008 DEVAKI S

Construct a 5-to-32-line decoder with four 3-to-8-line decoders with enable and

a 2-to- 4-line decoder

9.

922517105009 DHARANI G

1. What is an encoder? Draw the logic circuit of Decimal to BCD encoder and

explain its working.

2. What is a flip-flop? What is the difference between a latch and a flip-flop?

List out the application of flip-flop.

10. 922517105011 DHILIPAN G Using a suitable logic diagram explain the working of a 1-to-16 de multiplexer

16

Sl. No. Reg. No. Name of the Student Assignment Questions

11.

922517105013 GOBINATH P

1. What are synchronous counters? Design a Mod-5 synchronous counter using J-K Flip-Flops. 2. What is a shift register? Can a shift register be used as a counter? If yes, explain how?

12. 922517105014 GOPI G

Draw the circuit diagram of a Master-slave J-K flip-flop using NAND gates.

What is race around condition? How is it eliminated in a Master-slave J-K flip-

flop?

13. 922517105015 JAYANTHI R

Distinguish between ROM, PROM, EPROM, and EEPROM.

Difference between static and dynamic RAM. Draw the circuits of one cell of

each and explain its working.

14. 922517105016 JEEVITHA K

1. Convert the octal number 7401 to Binary.

2. Find the hex sum of (93)16 + (DE)16 .

3. Perform 2’s complement subtraction of (7)10 − (11)10.

15.

922517105017 KANAGARAJ B

1.A combinational circuit is specified by the following three Boolean functions:

F1(A, B, C) = ∑ (1, 4, 6)

F2(A, B, C) = ∑ (3, 5)

F3(A, B, C) = ∑ (2, 4, 6, 7)

2. Implement the circuit with a decoder constructed with NAND gates and

NAND or AND gates connected to the decoder outputs. Minimize the number

of inputs in the external gates.

16. 922517105018 KANIMOZHI B

1. Evaluate x = A.B+ C (A.D) using the convention A = True and B = False. 2. Simplify the Boolean expression F = C (B + C)(A + B + C)

17.

922517105019 KARTHICK C

1. Design a combinational circuit that compares two 4-bit numbers to check if

they are equal. The circuit output is equal to 1 if the two numbers are equal and

0 otherwise.

2. Construct a 5-to-32-line decoder with four 3-to-8-line decoders with enable

and a 2-to-4-line decoder.

18. 922517105020 KAVIN L

Design a BCD to seven segment decoder that accepts a decimal digit in BCS

and generates the appropriate output for segments in display indicator.

19.

922517105021 KAVIYA S

1. What are synchronous counters? Design a Mod-5 synchronous counter using

J-K Flip-Flops.

2. What is a shift register? Can a shift register be used as a counter? If yes,

explain how?

20. 922517105022 KEERTHIKA M

1.Simplify the following expression into sum of products using Karnaugh map

F(A,B,C,D)= ∑ m (1,3,4,5,6,7,9,12,13)

17

Sl. No. Reg. No. Name of the Student Assignment Questions

2. Implement a full adder with two 4 : 1 multiplexers.

21.

922517105023 KISHORE KABRIN J

1.Minimize the following logic function using K-maps and realize using NAND

and NOR gates.

F(A,B,C,D)= ∑m(1,3,5,8,9,11,15) + d(2,13)

2.Design a 4 to 1 Multiplexer by using the three variable function given by

F(A,B,C) = ∑m(1,3,5,6)

22.

922517105024 KISHORE KUMAR A

1.Using a decoder and external gates, design the combinational circuit defined

by the following three Boolean functions:

2. RAM & ROM Based Digital Design

23.

922517105025 LAVANYA S

1. Minimise the logic function

F (A,B,C,D)= ∑m(1, 2, 3, 8, 9, 10, 11,14)+d(7, 15)

Use Karnaugh map. Draw the logic circuit for the simplified function using

NOR gates only.

24.

922517105026 MADHUMITHA S

1. Design a combinational circuit with three inputs and one output.

(a)The output is 1 when the binary value of the inputs is less than 3. The output

is 0 otherwise.

(b) The output is 1 when the binary value of the inputs is an even number.

25. 922517105027 MAHESH BOOPATHI S

For F =A.B.C+B.C.D+A.B.C, write the truth table. Simplify using Karnaugh

map and realize the function using NAND gates only.

26.

922517105029 MANOJ KUMAR B

1. Design a 32:1 multiplexer using two 16:1 multiplexers and a 2:1 multiplexer.

2. Implement the following function using a 3 line to 8 line decoder.

S (A,B,C) = ∑ m(1,2,4,7)

C (A,B,C) = ∑ m ( 3,5,6,7)

27.

922517105030 MONICA S

1.A combinational circuit has 3 inputs A, B, C and output F. F is true for

following input combinations

A is False, B is True

A is False, C is True

A, B, C are False

A, B, C are True

(i) Write the Truth table for F. Use the convention True=1 and False = 0.

(ii) Write the simplified expression for F in SOP form.

(iii) Write the simplified expression for F in POS form.

18

Sl. No. Reg. No. Name of the Student Assignment Questions

(iv) Draw logic circuit using minimum number of 2-input NAND gates. 28.

922517105031 MOUNIKA S

1. What is a digital multiplexer? Illustrate its functional diagram. Write the

scheme of a 4-input multiplexer using basic gates (AND/OR/NOT) and explain

its operation.

2. What is meant by a priority encoder? Name the 7400 series TTL chip which

is a priority encoder. Write its truth table. Illustrate how it can be used as a

decimal-to-BCD encoder.

29.

922517105032 MUKILAN S

1. What is a Decoder? Compare a decoder and a demultiplexer with suitable

block diagrams.

2. Draw the logic diagram of 4-bit Twisted Ring counter and explain its

operation with the help of timing diagram.

30. 922517105033 NAVI J

1. Design a MOD-6 synchronous counter using J-K Flip-Flops.

2. What is a Shift Register? What are its various types? List out some

applications of Shift Register.

31.

922517105034 OBILISAMY K

1.Verify that the following operations are commutative but not associative (i)

NAND (ii) NOR

2.Prove the following equations using the Boolean algebraic theorems:

(i) A + A .B + A . B = A + B (ii) ABC + A B C + ABC + ABC = AB + BC + AC

32. 922517105035 OVIYA P

Implement the following function using 4-to-1 multiplexer. Y(A,B,C)=

∑m(2,3,5,6)

33. 922517105036 PRABHA R

Express the complement of the following functions in sum‐of‐minterms form:

(a) F(A,B ,C, D) = g(2, 4, 7, 10, 12, 14)

(b) F ( x, y, z ) = w(3, 5, 7)

34.

922517105037 PRAGALATHAN E

Design a combinational circuit with three inputs, x , y , and z , and three outputs,

A, B , and C . When the binary input is 0, 1, 2, or 3, the binary output is one

greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is

two less than the input.

35.

922517105039 PRAVEEN KUMAR N

Perform the following additions using 2’s complement

(i) -20 to +26 (ii) +25 to -15

(i) Convert the decimal number 430 to Excess-3 code

(ii) Convert the binary number 10110 to Gray code:

36. 922517105040 PRAVEEN T

Design a 8 to 1 multiplexer by using the four variable function given by

F(a,b,c,d)= ∑m(0,1,3,4,8,9,15)

37. 922517105041 RAJESHWARAN M

Design, Development and Implementation of ALU, RAM and ROM for 8051

Microcontroller on FPGA using

19

Sl. No. Reg. No. Name of the Student Assignment Questions

38.

922517105042 RAVINDRAN R

Using JK flip‐flops,

(a) Design a counter with the following repeated binary sequence: 0, 1, 2, 3, 4,

5, 6.

(b) Draw the logic diagram of the counter.

39. 922517105044 SAKTHIVEL T

Implement the following two Boolean functions with a PLA:

F1(A, B, C) = g(0, 1, 2, 4)

F2(A, B, C) = g(0, 5, 6, 7)

40. 922517105045 SANGAVI B

Using 64 * 8 ROM chips with an enable input, construct a 512 * 8 ROM

with eight chips and a decoder.

41.

922517105046 SEDHUPATHY S

Tabulate the PLA programming table for the four Boolean functions listed

below. Minimize the numbers of product terms.

A(x, y, z) = ∑ (1, 3, 5, 6)

B(x, y, z) = ∑ (0, 1, 6, 7)

C(x, y, z) = ∑ (3, 5)

D(x, y, z) = ∑ (1, 2, 4, 5, 7)

42.

922517105047 SHANMUGAPRIYA M

1. Convert the decimal number 82.67 to its binary, hexadecimal and octal

equivalents.

2. Add 20 and (-15) using 2’s complement.

3. Add 648 and 487 in BCD code.

43.

922517105048 SHARUMATHI R

1.Simplify the expressions using Boolean postulates

(i) Y = (A + B)( A + C)(B + C)

(ii) XY + XZ + XY Z (XY + Z)

2.Minimize the logic function Y(A,B,C,D) = ∑m(0,1,2,3,5,7,8,9,11,14) . Use

Karnaugh map. Draw logic circuit for the simplified function.

44.

922517105049 SIVAGOKUL S

1. Simplify the given expression to its Sum of Products (SOP) form. Draw the

logic circuit for the simplified SOP function

2.Design a 8 to 1 multiplexer by using the four variable function given by

F(A,B,C,D) = ∑m(0,1,3,4,8,9,15) .

45.

922517105050 SIVA SABARISH U

Tabulate the truth table for an 8 * 4 ROM that implements the Boolean

functions

A(x, y, z) =∑ (0, 3, 4, 6)

B(x, y, z) = ∑ (0, 1, 4, 7)

C(x, y, z) = ∑_(1, 5)

D(x, y, z) = ∑ (0, 1, 3, 5, 7)

20

Sl. No. Reg. No. Name of the Student Assignment Questions

46.

922517105051 SOWMIYA K

1. (a) Find the 16’s complement of C3DF.

(b) Convert C3DF to binary.

(c) Find the 2’s complement of the result in (b).

(d) Convert the answer in (c) to hexadecimal and compare with the answer in

(a).

2. Represent the decimal number 6,248 in (a) BCD, (b) excess‐3 code, (c) 2421

code, and (d) a 6311 code.

47.

922517105052 SRIDHAR K

Implement the Boolean function F = XY + X’Y’+Y’Z

(a) With AND, OR, and inverter gates

(b) With OR and inverter gates

(c) With AND and inverter gates

(d) With NAND and inverter gates

(e) With NOR and inverter gates

48.

922517105053 SUBASH S

Find all the prime implicants for the following Boolean functions, and

determine which are essential:

(a) F (w, x, y, z) = ∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)

(b) F (A, B, C, D) = ∑ (0, 2, 3, 5, 7, 8, 10, 11, 14, 15)

(c) F(A, B, C, D) = ∑(2, 3, 4, 5, 6, 7, 9, 11, 12, 13)

(d) F(w, x, y, z) = ∑(1, 3, 6, 7, 8, 9, 12, 13, 14, 15)

(e) F(A, B, C, D) = ∑(0, 1, 2, 5, 7, 8, 9, 10, 13, 15)

(f) F(w, x, y, z) = ∑(0, 1, 2, 5, 7, 8, 10, 15)

49. 922517105054 SUTHAN N S

50.

922517105055 TAMILVANAN R VHDL Explain the operation of octal to binary encoder.

Design a 4:1 multiplexer with strobe input using NAND gates.

51.

922517105056 THARANITHARAN C

1. With the help of a suitable diagram, explain how do you convert a JK flipflop

to T type flipflop.

2. A number of 256 x 8 bit memory chips are available. To design a memory

organization of 2 K x 8 memory. Identify the requirements of 256 x 8 memory

chips and explain the details.

52. 922517105057 VASANTHAKUMAR A

Design a BCD to excess 3 code converter using minimum number of NAND

gates. Hint: use k map techniques.

53. 922517105058 VIGNESH R

IMPLEMENTATION OF AUTOMATIC WASHING MACHINE CONTROL

SYSTEM USING VERILOG

21

Sl. No. Reg. No. Name of the Student Assignment Questions

54. 922517105059 VIGNESHWARAN A

Design a mod-12 Synchronous, Asynchronous up counter.

55.

922517105060 VIKASH KUMAR R

1. Find the Boolean expression for logic circuit shown in Fig.1 below and

reduce it using Boolean algebra.

2. Design a mod-12 Synchronous up counter.

56. 922517105061 YUVASRI S SRAM Memory Cell Design in FPGA

57. NAGARAJA P Application of Digital Computers in Traffic Signal Systems

Signature of the faculty with date: HOD

22

V.S.B. ENGINEERING COLLEGE, KARUR

Department of Electrical and Electronics Engineering

Academic Year: 2018-2019 (ODD Semester)

Assignment Questions

Class: II Year / III Semester B.E. EEE

Subject Code/ Subject Name : MA8353/ Transforms and Partial Differential Equations

Name of the faculty : G.Sangeetha

Sl.

No. Reg. No. Questions

1. 922517105001 Solve:(𝑥2 − 𝑦𝑧)𝑝 + (𝑦2 − 𝑧𝑥)𝑞 = (𝑧2 − 𝑥𝑦).

2. 922517105002 Solve : 𝑝(1 + 𝑞) = 𝑞𝑧.

3. 922517105003 Find the general solution of (𝑧2 − 𝑦2 − 2𝑦𝑧)𝑝 + (𝑥𝑦 + 𝑧𝑥)𝑞 = (𝑥𝑦 − 𝑧𝑥).

4. 922517105004 Solve the Lagrange’s equation (𝑥 + 2𝑧)𝑝 + (2𝑥𝑧 − 𝑦)𝑞 = 𝑥2 + 𝑦.

5. 922517105005 Solve: [𝐷2 − 𝐷𝐷′ − 2𝐷′2]𝑧 = 2𝑥 + 3𝑦 + 𝑒2𝑥+4𝑦.

6. 922517105006 Solve: 𝑧 = 𝑝𝑥 + 𝑞𝑦 + 𝑝2𝑞2

7. 922517105007 Solve:(𝐷3 + 𝐷2𝐷′ − 4𝐷𝐷′2− 4𝐷′3)𝑧 = cos (2𝑥 + 𝑦).

8. 922517105008 Find the complete solution of 𝑝2 + 𝑥2𝑦2𝑞2 = 𝑥2𝑧2 .

9. 922517105009 Solve:(𝐷2 − 𝐷′2)𝑧 = 𝑒𝑥−𝑦𝑠𝑖𝑛(2𝑥 + 3𝑦).

10. 922517105011 Solve: (𝐷2 + 2𝐷𝐷′ + 𝐷′2)𝑧 = 2𝑐𝑜𝑠𝑦 − 𝑥𝑠𝑖𝑛𝑦.

11. 922517105013 Find the Fourier series expansion of 𝑓(𝑥) =

𝑥 , 0 ≤ 𝑥 ≤ 𝜋2𝜋 − 𝑥 , 𝜋 ≤ 𝑥 ≤ 2𝜋

also deduce that

1

12 +1

32 +1

52 + ⋯ ∞ =𝜋2

8.

12. 922517105014 Find the Fourier series expansion the following periodic function of period 4

𝑓(𝑥) = 2 + 𝑥 , −2 ≤ 𝑥 ≤ 02 − 𝑥 , 0 < 𝑥 ≤ 2

.Hence deduce that 1

12 +1

32 +1

52 + ⋯ ∞ =𝜋2

8.

13. 922517105015 Solve:(𝑥2 − 𝑦𝑧)𝑝 + (𝑦2 − 𝑧𝑥)𝑞 = (𝑧2 − 𝑥𝑦).

14. 922517105016 Expand 𝑓(𝑥) = 1 +

2𝑥

𝜋, −𝜋 < 𝑥 < 0

1 −2𝑥

𝜋, 0 < 𝑥 < 𝜋

as a full range Fourier series in the interval (– 𝜋, 𝜋).

23

Hence deduce that 1

12 +1

32 +1

52 + ⋯ ∞ =𝜋2

8.

15. 922517105017

Expand 𝑓(𝑥) = −𝑥, −𝜋 < 𝑥 < 0

𝑥, 0 < 𝑥 < 𝜋 as a full range Fourier series in the interval (– 𝜋, 𝜋).

Hence deduce the sum of the series 1

12 +1

32 +1

52 + ⋯ ∞.

16. 922517105018

Obtain the Fourier cosine series expansion of 𝑥𝑠𝑖𝑛𝑥 in (0, 𝜋). And hence find the value of1 +2

1.3−

2

3.5+

2

5.7−

⋯ ∞ =𝜋−2

4.

17. 922517105019 Obtain the Fourier cosine series of 𝑓(𝑥) = 𝑘𝑥 , 0 < 𝑥 <

𝑙

2

𝑘(𝑙 − 𝑥) , 𝑙

2< 𝑥 < 𝑙

.

18. 922517105020

Find the complex form of the Fourier Series for the function 𝑓(𝑥) = 𝑒𝑎𝑥 in −𝜋 < 𝑥 < 𝜋 , where

′𝑎′is a real constant.Hence deduce that∑(−1)𝑛

𝑎2+𝑛2∞𝑛=−∞ =

𝜋

𝑎𝑠𝑖𝑛ℎ𝑎𝜋.

19. 922517105021

Determine the first two harmonics of Fourier series for the following data.

x 0 𝜋

3

2𝜋

3 𝜋

4𝜋

3

5𝜋

3

f(x) 1.98 1.30 1.05 1.30 -0.88 -0.25

20. 922517105022 Form the PDE by eliminating the arbitrary function ‘f’ and ‘g’ from z = x2f(y) +y2g(x)

21. 922517105023 Find the complete solution of 9 (p2z + q2) = 4.

22. 922517105024 Find the general solution of (z2-2yz-y2)p+(xy+zx)q=xy-zx

23. 922517105025 Solve (D3-2D2D’)z = 2e2x+3x2y. 24. 922517105026 Solve (r+s-6t)=y cosx.

25. 922517105027 Solve (D2+2DD’+D’2-2D-2D’)z = sin(x+2y)

26. 922517105029 Find a Fourier series with period 3 to represent f(x) = 2x-x2 in (0,3).

27. 922517105030 Find the Fourier series expansion of the periodic function f(x) of the period 2 defined by f(x) = l-x , 0<x≤l = 0 , l<x≤2l . in (0,2l)

28. 922517105031 Find the half range sine series of f(x) = x cosπx in (0,1). 29. 922517105032 Find the half range cosine series expansion of (x-1)2 in 0<x< l.

30. 922517105033 Find the complex form of the Fourier series f(x)=e-ax in the interval;–π<x< π.

31. 922517105034 Find the complete solution of 𝑝2 + 𝑥2𝑦2𝑞2 = 𝑥2𝑧2.

24

32. 922517105035 Find the Fourier series for the function f(x) = xsin over the interval (-π,π).

33. 922517105036

Compute first two harmonic of the Fourier series for f(x) from the table below:(AU-A/M-2010)(8)

x : 0 600 1200 1800 2400 3000 y: 1.98 1.30 1.05 1.30 -0.88 -0.25

34. 922517105037 Solve the Lagrange’s equation (𝑥 + 2𝑧)𝑝 + (2𝑥𝑧 − 𝑦)𝑞 = 𝑥2 + 𝑦.

35. 922517105039 Solve: [𝐷2 − 𝐷𝐷′ − 2𝐷′2]𝑧 = 2𝑥 + 3𝑦 + 𝑒2𝑥+4𝑦 .

36. 922517105040

Find the Fourier cosine series up to third harmonic to represent the function given by the following table:

x 0 1 2 3 4 5 y 4 8 15 7 6 2

37. 922517105041 Obtain the Fourier cosine series of 𝑓(𝑥) = 𝑘𝑥 , 0 < 𝑥 <

𝑙

2

𝑘(𝑙 − 𝑥), 𝑙

2< 𝑥 < 𝑙

.

38. 922517105042 Find the complex form of Fourier series of the function f(x) =sinx in -π<x<π

39. 922517105044 Find the complete solution of 𝑝2 + 𝑥2𝑦2𝑞2 = 𝑥2𝑧2.

40. 922517105045 Solve:(𝑥2 − 𝑦𝑧)𝑝 + (𝑦2 − 𝑧𝑥)𝑞 = (𝑧2 − 𝑥𝑦).

41. 922517105046 Find a Fourier series with period 3 to represent f(x) = 2x-x2 in (0,3).

42. 922517105047 Solve: [𝐷2 − 𝐷𝐷′ − 2𝐷′2]𝑧 = 2𝑥 + 3𝑦 + 𝑒2𝑥+4𝑦 .

43. 922517105048 Solve (D3-2D2D’)z = 2e2x+3x2y.

44. 922517105049 Solve (r+s-6t)=y cosx.

45. 922517105050 Find the half range cosine series expansion of (x-1)2 in 0<x< l.

46. 922517105051 Find the Fourier series expansion of the periodic function f(x) of the period 2 defined by f(x) = l-x , 0<x≤l = 0 , l<x≤2l . in (0,2l)

47. 922517105052 Find the Fourier series for the function f(x) = xsin over the interval (-π,π).

48. 922517105053

Expand 𝑓(𝑥) = −𝑥, −𝜋 < 𝑥 < 0

𝑥, 0 < 𝑥 < 𝜋 as a full range Fourier series in the interval (– 𝜋, 𝜋).

Hence deduce the sum of the series 1

12 +1

32 +1

52 + ⋯ ∞.

49. 922517105054

Expand 𝑓(𝑥) = −𝑥, −𝜋 < 𝑥 < 0

𝑥, 0 < 𝑥 < 𝜋 as a full range Fourier series in the interval (– 𝜋, 𝜋).

Hence deduce the sum of the series 1

12 +1

32 +1

52 + ⋯ ∞.

25

50. 922517105055 Form the PDE by eliminating the arbitrary function ‘f’ and ‘g’ from z = x2f(y) +y2g(x)

51. 922517105056 Find the complete solution of 9 (p2z + q2) = 4.

52. 922517105057 Obtain the Fourier cosine series expansion of 𝑥𝑠𝑖𝑛𝑥 in (0, 𝜋). And hence find the value of1 +

2

1.3−

2

3.5+

2

5.7−

⋯ ∞ =𝜋−2

4

53. 922517105058 Solve the Lagrange’s equation (𝑥 + 2𝑧)𝑝 + (2𝑥𝑧 − 𝑦)𝑞 = 𝑥2 + 𝑦.

54. 922517105059 Find the complete solution of 𝑝2 + 𝑥2𝑦2𝑞2 = 𝑥2𝑧2.

55. 922517105060 Find the half range cosine series expansion of (x-1)2 in 0<x< l.

56. 922517105061 Find the half range sine series of f(x) = x cosπx in (0,1).

57. LE1 Solve (D3-2D2D’)z = 2e2x+3x2y.

58. LE2 Find a Fourier series with period 3 to represent f(x) = 2x-x2 in (0,3).

Signature of the faculty member HOD

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