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r2017 notes

MA8352 Notes Linear Algebra and Partial Differential Equations Regulation 2017 Anna University

MA8352 Notes Linear Algebra and Partial Differential Equations

MA8352 Notes Linear Algebra and Partial Differential Equations Regulation 2017 Anna University free download. Linear Algebra and Partial Differential Equations Notes MA8352 pdf free download.

OBJECTIVES: MA8352 Notes Linear Algebra and Partial Differential Equations

 To introduce the basic notions of groups, rings, fields which will then be used to solve related problems.
 To understand the concepts of vector space, linear transformations and diagonalization.
 To apply the concept of inner product spaces in orthogonalization.
 To understand the procedure to solve partial differential equations.
 To give an integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.

OUTCOMES: MA8352 Notes Linear Algebra and Partial Differential Equations

Upon successful completion of the course, students should be able to:
 Explain the fundamental concepts of advanced algebra and their role in modern
mathematics and applied contexts.
 Demonstrate accurate and efficient use of advanced algebraic techniques.
 Demonstrate their mastery by solving non – trivial problems related to the concepts and by proving simple theorems about the statements proven by the text.
 Able to solve various types of partial differential equations.
Able to solve engineering problems using Fourier series.

TEXTBOOKS: MA8352 Notes Linear Algebra and Partial Differential Equations

1. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd Edition, 2014.
2. Friedberg, A.H., Insel, A.J. and Spence, L., “Linear Algebra”, Prentice Hall of India, New Delhi, 2004.

REFERENCES: MA8352 Notes Linear Algebra and Partial Differential Equations

1. Burden, R.L. and Faires, J.D, “Numerical Analysis”, 9th Edition, Cengage Learning, 2016.
2. James, G. “Advanced Modern Engineering Mathematics”, Pearson Education, 2007.
3. Kolman, B. Hill, D.R., “Introductory Linear Algebra”, Pearson Education, New Delhi, First Reprint, 2009.
4. Kumaresan, S., “Linear Algebra – A Geometric Approach”, Prentice – Hall of India, New Delhi, Reprint, 2010.
5. Lay, D.C., “Linear Algebra and its Applications”, 5th Edition, Pearson Education, 2015.
6. O‟Neil, P.V., “Advanced Engineering Mathematics”, Cengage Learning, 2007.
7. Strang, G., “Linear Algebra and its applications”, Thomson (Brooks/Cole), New Delhi, 2005.
8. Sundarapandian, V. “Numerical Linear Algebra”, Prentice Hall of India, New Delhi, 2008.

Subject name Linear Algebra and Partial Differential Equations
Semester 3
Subject Code MA8352
Regulation 2017 regulation

MA8352 Notes Linear Algebra and Partial Differential Equations Click Here to download

MA8352 Syllabus Linear Algebra and Partial Differential Equations


MA8352 Important Questions Linear Algebra and Partial Differential Equations


MA8352 Question Bank Linear Algebra and Partial Differential Equations

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UG syllabus R-2017

MA8352 Syllabus Linear Algebra and Partial Differential Equations Regulation 2017 Anna University

MA8352 Syllabus Linear Algebra and Partial Differential Equations

MA8352 Syllabus Linear Algebra and Partial Differential Equations Regulation 2017 Anna University free download. Linear Algebra and Partial Differential Equations Syllabus MA8352 pdf free download.

UNIT I VECTOR SPACES MA8352 Syllabus Linear Algebra and Partial Differential Equations

Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.

UNIT II LINEAR TRANSFORMATION AND DIAGONALIZATION MA8352 Syllabus Linear Algebra and Partial Differential Equations

Linear transformation – Null spaces and ranges – Dimension theorem – Matrix representation of a linear transformations – Eigenvalues and eigenvectors – Diagonalizability.

UNIT III INNER PRODUCT SPACES MA8352 Syllabus Linear Algebra and Partial Differential Equations

Inner product, norms – Gram Schmidt orthogonalization process – Adjoint of linear operations – Least square approximation.

UNIT IV PARTIAL DIFFERENTIAL EQUATIONS MA8352 Linear Algebra and Partial Differential Equations Syllabus

Formation – Solutions of first order equations – Standard types and equations reducible to standard types – Singular solutions – Lagrange‟s linear equation – Integral surface passing through a given curve – Classification of partial differential equations – Solution of linear equations of higher order with constant coefficients – Linear non-homogeneous partial differential equations.

UNIT V FOURIER SERIES SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS MA8352 Linear Algebra and Partial Differential Equations Syllabus

Dirichlet‟s conditions – General Fourier series – Half range sine and cosine series – Method of separation of variables – Solutions of one dimensional wave equation and one-dimensional heat equation – Steady state solution of two-dimensional heat equation – Fourier series solutions in Cartesian coordinates.

Subject name Linear Algebra and Partial Differential Equations
Semester 3
Subject Code MA8352
Regulation 2017 regulation

MA8352 Syllabus Linear Algebra and Partial Differential Equations Click here to download

MA8352 Notes Linear Algebra and Partial Differential Equations


MA8352 Important Questions Linear Algebra and Partial Differential Equations


MA8352 Question Bank Linear Algebra and Partial Differential Equations

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UG syllabus R-2017

EE8311 Syllabus Electrical Machines Laboratory 1 Regulation 2017 Anna University

EE8311 Syllabus Electrical Machines Laboratory 1

EE8311 Syllabus Electrical Machines Laboratory 1 Regulation 2017 Anna University free download. Electrical Machines Laboratory 1 Syllabus EE8311 pdf free download.

OBJECTIVES: EE8311 Syllabus Electrical Machines Laboratory 1

 To expose the students to the operation of D.C. machines and transformers
and give them experimental skill.

LIST OF EXPERIMENTS EE8311 Syllabus Electrical Machines Laboratory 1

1. Open circuit and load characteristics of DC shunt generator- critical resistance and critical speed.

2. Load characteristics of DC compound generator with differential and cumulative connections.

3. Load test on DC shunt motor.

4. Load test on DC compound motor.

5. Load test on DC series motor.

6. Swinburne’s test and speed control of DC shunt motor.

7. Hopkinson’s test on DC motor – generator set.

8. Load test on single-phase transformer and three phase transformers.

9. Open circuit and short circuit tests on single phase transformer.

10. Sumpner’s test on single phase transformers.

11. Separation of no-load losses in single phase transformer.

12 Study of starters and 3-phase transformers connections.

TOTAL: 60 PERIODS

OUTCOMES: EE8311 Syllabus Electrical Machines Laboratory 1

 Ability to understand and analyze DC Generator

 Ability to understand and analyze DC Motor

 Ability to understand and analyse Transformers.

LIST OF EQUIPMENT FOR A BATCH OF 30 STUDENTS: EE8311 Syllabus Electrical Machines Laboratory 1

1. DC Shunt Motor with Loading Arrangement – 3 nos

2. DC Shunt Motor Coupled with Three phase Alternator – 1 No.

3. Single Phase Transformer – 4 nos

4. DC Series Motor with Loading Arrangement – 1 No.

5. DC compound Motor with Loading Arrangement – 1 No.

6. Three Phase Induction Motor with Loading Arrangement – 2 nos

7. Single Phase Induction Motor with Loading Arrangement – 1 No.

8. DC Shunt Motor Coupled With DC Compound Generator – 2 nos

9. DC Shunt Motor Coupled With DC Shunt Motor – 1 No.

10. Tachometer -Digital/Analog – 8 nos

11. Single Phase Auto Transformer – 2 nos

12. Three Phase Auto Transformer – 1 No.

13. Single Phase Resistive Loading Bank – 2 nos

14. Three Phase Resistive Loading Bank. – 2 nos

Subject name Electrical Machines Laboratory 1
Semester 3
Subject Code EE8311
Regulation 2017 regulation

EE8311 Syllabus Electrical Machines Laboratory 1 Click here to download

EC8311 Syllabus Electronics Laboratory

Categories
UG syllabus R-2017

EC8311 Syllabus Electronics Laboratory Regulation 2017 Anna University

EC8311 Syllabus Electronics Laboratory

EC8311 Syllabus Electronics Laboratory Regulation 2017 Anna University free download. Electronics Laboratory Syllabus EC8311 pdf free download.

OBJECTIVES: EC8311 Syllabus Electronics Laboratory

 To enability the students to understand the behavior of semiconductor device based on experimentation.

LIST OF EXPERIMENTS EC8311 Syllabus Electronics Laboratory

1. Characteristics of Semiconductor diode and Zener diode

2. Characteristics of a NPN Transistor under common emitter , common collector and common base configurations

3. Characteristics of JFET and draw the equivalent circuit

4. Characteristics of UJT and generation of saw tooth waveforms

5. Design and Frequency response characteristics of a Common Emitter amplifier

6. Characteristics of photo diode & photo transistor, Study of light activated relay circuit

7. Design and testing of RC phase shift and LC oscillators

8. Single Phase half-wave and full wave rectifiers with inductive and capacitive filters

9. Differential amplifiers using FET

10. Study of CRO for frequency and phase measurements

11. Realization of passive filters

TOTAL: 60 PERIODS

OUTCOMES: EC8311 Syllabus Electronics Laboratory

 Ability to understand and analyse electronic circuits.

LIST OF EQUIPMENT FOR A BATCH OF 30 STUDENTS: EC8311 Syllabus Electronics Laboratory

1. Semiconductor devices like Diode, Zener Diode, NPN Transistors, JFET, UJT, Photo diode, Photo Transistor

2. Resistors, Capacitors and inductors

3. Necessary digital IC 8

4. Function Generators 10

5. Regulated 3 output Power Supply 5, ± 15V 10

6. CRO 10

7. Storage Oscilloscope 1

8. Bread boards

9. Atleast one demo module each for the listed equipments.

10. Component data sheets to be provided

Subject name Electronics Laboratory
Semester 3
Subject Code EC8311
Regulation 2017 regulation

EC8311 Syllabus Electronics Laboratory Click here to download

 EE8311 Syllabus Electrical Machines Laboratory 1

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r2017 notes

ME8792 Notes POWER PLANT ENGINEERING Regulation 2017 Anna University

ME8792 Notes POWER PLANT ENGINEERING

ME8792 Notes POWER PLANT ENGINEERING Regulation 2017 Anna University free download. POWER PLANT ENGINEERING Notes ME8792 pdf free download.

OBJECTIVES: ME8792 Notes POWER PLANT ENGINEERING

 Providing an overview of Power Plants and detailing the role of Mechanical Engineers in their operation and maintenance.

OUTCOMES: ME8792 Notes POWER PLANT ENGINEERING

Upon the completion of this course the students will be able to

CO1 Discuss different power generation methods and boilers and estimate load
curves and load duration curves. Unit 1

CO2 Explain the layout, construction and working of the components inside a
thermal power plant. Unit 2

CO3 Explain the layout, construction and working of the components inside
nuclear and hydro electric power plants. Unit 3

CO4 Explain the layout, construction and working of the components inside
diesel and gas turbine power plants. Unit 4

CO5 Explain the applications of renewable energy on power plants while extend
their knowledge to power plant economics and environmental hazards and
estimate the costs of electrical energy production. Unit 5

TEXT BOOK: ME8792 Notes POWER PLANT ENGINEERING

1. Nag. P.K., “Power Plant Engineering”, Third Edition, Tata McGraw – Hill Publishing Company Ltd., 2008.

REFERENCES: ME8792 Notes POWER PLANT ENGINEERING

1. El-Wakil. M.M., “Power Plant Technology”, Tata McGraw – Hill Publishing Company Ltd., 2010.

2. Godfrey Boyle, “Renewable energy”, Open University, Oxford University Press in association with the Open University, 2004.

3. Thomas C. Elliott, Kao Chen and Robert C. Swanekamp, “Power Plant Engineering”, Second Edition, Standard Handbook of McGraw – Hill, 1998.

Subject name POWER PLANT ENGINEERING
Semester 3
Subject Code ME8792
Regulation 2017 regulation

ME8792 Notes POWER PLANT ENGINEERING Click Here To Download 

 ME8792 Syllabus POWER PLANT ENGINEERING


ME8792 Important Questions POWER PLANT ENGINEERING


ME8792 Question Bank POWER PLANT ENGINEERING

Categories
UG syllabus R-2017

ME8792 Syllabus POWER PLANT ENGINEERING Regulation 2017 Anna University

ME8792 Syllabus POWER PLANT ENGINEERING

ME8792 Syllabus POWER PLANT ENGINEERING Regulation 2017 Anna University free download. POWER PLANT ENGINEERING Syllabus ME8792 pdf free download.

UNIT I COAL BASED THERMAL POWER PLANTS ME8792 Syllabus POWER PLANT ENGINEERING

Rankine cycle – improvisations, Layout of modern coal power plant, Super Critical Boilers, FBC Boilers, Turbines, Condensers, Steam & Heat rate, Subsystems of thermal power plants – Fuel and ash handling, Draught system, Feed water treatment. Binary Cycles and Cogeneration systems.

UNIT II DIESEL, GAS TURBINE AND COMBINED CYCLE POWER PLANTS ME8792 Syllabus POWER PLANT ENGINEERING

Otto, Diesel, Dual & Brayton Cycle – Analysis & Optimisation. Components of Diesel and Gas Turbine power plants. Combined Cycle Power Plants. Integrated Gasifier based Combined Cycle systems.

UNIT III NUCLEAR POWER PLANTS ME8792 Syllabus POWER PLANT ENGINEERING

Basics of Nuclear Engineering, Layout and subsystems of Nuclear Power Plants, Working of Nuclear Reactors : Boiling Water Reactor (BWR), Pressurized Water Reactor (PWR), CANada Deuterium- Uranium reactor (CANDU), Breeder, Gas Cooled and Liquid Metal Cooled Reactors. Safety measures for Nuclear Power plants. 

UNIT IV POWER FROM RENEWABLE ENERGY ME8792 Syllabus POWER PLANT ENGINEERING

Hydro Electric Power Plants – Classification, Typical Layout and associated components including Turbines. Principle, Construction and working of Wind, Tidal, Solar Photo Voltaic (SPV), Solar Thermal, Geo Thermal, Biogas and Fuel Cell power systems.

UNIT V ENERGY, ECONOMIC AND ENVIRONMENTAL ISSUES OF POWER PLANTS ME8792 POWER PLANT ENGINEERING Syllabus

Power tariff types, Load distribution parameters, load curve, Comparison of site selection criteria, relative merits & demerits, Capital & Operating Cost of different power plants. Pollution control technologies including Waste Disposal Options for Coal and Nuclear Power Plants.

Subject name POWER PLANT ENGINEERING
Semester 3
Subject Code ME8792
Regulation 2017 regulation

ME8792 Syllabus POWER PLANT ENGINEERING Click here to download

 ME8792 Notes POWER PLANT ENGINEERING


ME8792 Important Questions POWER PLANT ENGINEERING


ME8792 Question Bank POWER PLANT ENGINEERING

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r2017 notes

EC8353 Notes Electron Devices and Circuits Regulation 2017 Anna University

EC8353 Notes Electron Devices and Circuits

EC8353 Notes Electron Devices and Circuits Regulation 2017 Anna University free download. Electron Devices and Circuits Notes EC8353 pdf free download.

OBJECTIVES: EC8353 Notes Electron Devices and Circuits

The student should be made to:

 Understand the structure of basic electronic devices.

 Be exposed to active and passive circuit elements.

 Familiarize the operation and applications of transistor like BJT and FET.

 Explore the characteristics of amplifier gain and frequency response.

 Learn the required functionality of positive and negative feedback systems.

OUTCOMES: EC8353 Notes Electron Devices and Circuits

Upon Completion of the course, the students will be ability to:

 Explain the structure and working operation of basic electronic devices.

 Able to identify and differentiate both active and passive elements

 Analyze the characteristics of different electronic devices such as diodes and
transistors

 Choose and adapt the required components to construct an amplifier circuit.

 Employ the acquired knowledge in design and analysis of oscillators

TEXT BOOKS: EC8353 Notes Electron Devices and Circuits

1. . David A. Bell ,”Electronic devices and circuits”, Oxford University higher education, 5th edition 2008.

2. Sedra and smith, “Microelectronic circuits”,7th Ed., Oxford University Press

REFERENCES: EC8353 Notes Electron Devices and Circuits

1. Balbir Kumar, Shail.B.Jain, “Electronic devices and circuits” PHI learning private limited, 2nd edition 2014.

2. Thomas L.Floyd, “Electronic devices” Conventional current version, Pearson prentice hall, 10th Edition, 2017.

3. Donald A Neamen, “Electronic Circuit Analysis and Design” Tata McGraw Hill, 3rd Edition, 2003.

4. Robert L.Boylestad, “Electronic devices and circuit theory”, 2002.

5. Robert B. Northrop, “Analysis and Application of Analog Electronic Circuits to Biomedical Instrumentation”, CRC Press, 2004.

Subject name Electron Devices and Circuits
Semester 3
Subject Code EC8353
Regulation 2017 regulation

EC8353 Notes Electron Devices and Circuits Click Here To Download 

EC8353 Syllabus Electron Devices and Circuits


EC8353 Important Questions Electron Devices and Circuits


EC8353 Question Bank Electron Devices and Circuits

Categories
UG syllabus R-2017

EC8353 Syllabus Electron Devices and Circuits Regulation 2017 Anna University

EC8353 Syllabus Electron Devices and Circuits

EC8353 Syllabus Electron Devices and Circuits Regulation 2017 Anna University free download. Electron Devices and Circuits Syllabus EC8353 pdf free download.

UNIT I PN JUNCTION DEVICES EC8353 Syllabus Electron Devices and Circuits

PN junction diode –structure, operation and V-I characteristics, diffusion and transition capacitance – Rectifiers – Half Wave and Full Wave Rectifier,– Display devices- LED, Laser diodes, Zener diodecharacteristics- Zener Reverse characteristics – Zener as regulator

UNIT II TRANSISTORS AND THYRISTORS EC8353 Syllabus Electron Devices and Circuits

BJT, JFET, MOSFET- structure, operation, characteristics and Biasing UJT, Thyristors and IGBT – Structure and characteristics.

UNIT III AMPLIFIERS EC8353 Syllabus Electron Devices and Circuits

BJT small signal model – Analysis of CE, CB, CC amplifiers- Gain and frequency response –MOSFET small signal model– Analysis of CS and Source follower – Gain and frequency response- High frequency analysis.

UNIT IV MULTISTAGE AMPLIFIERS AND DIFFERENTIAL AMPLIFIER EC8353 Electron Devices and Circuits Syllabus

BIMOS cascade amplifier, Differential amplifier – Common mode and Difference mode analysis – FET input stages – Single tuned amplifiers – Gain and frequency response – Neutralization methods, power amplifiers –Types (Qualitative analysis).

UNIT V FEEDBACK AMPLIFIERS AND OSCILLATORS EC8353 Electron Devices and Circuits Syllabus

Advantages of negative feedback – voltage / current, series , Shunt feedback –positive feedback – Condition for oscillations, phase shift – Wien bridge, Hartley, Colpitts and Crystal oscillators.

Subject name Electron Devices and Circuits
Semester 3
Subject Code EC8353
Regulation 2017 regulation

EC8353 Syllabus Electron Devices and Circuits Click here to download

EC8353 Notes Electron Devices and Circuits

 

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r2017 notes

EE8301 Notes Electrical Machines 1 Regulation 2017 Anna University

EE8301 Notes Electrical Machines 1

EE8301 Notes Electrical Machines 1 Regulation 2017 Anna University free download. Electrical Machines 1 Notes EE8301 pdf free download.

OBJECTIVES: EE8301 Notes Electrical Machines 1

To impart knowledge on the following Topics

 Magnetic-circuit analysis and introduce magnetic materials

 Constructional details, the principle of operation, prediction of performance, the
methods of testing the transformers and three phase transformer connections.

 Working principles of electrical machines using the concepts of electromechanical energy conversion principles and derive expressions for generated voltage and torque developed in all Electrical Machines.

 Working principles of DC machines as Generator types, determination of their noload/ load characteristics, starting and methods of speed control of motors.

 Various losses taking place in D.C. Motor and to study the different testing methods to arrive at their performance.

OUTCOMES: EE8301 Notes Electrical Machines 1

 Ability to analyze the magnetic-circuits.

 Ability to acquire the knowledge in constructional details of transformers.

 Ability to understand the concepts of electromechanical energy conversion.

 Ability to acquire the knowledge in working principles of DC Generator.

 Ability to acquire the knowledge in working principles of DC Motor

 Ability to acquire the knowledge in various losses taking place in D.C. Machines

TEXT BOOKS: EE8301 Notes Electrical Machines 1

1. Stephen J. Chapman, ‘Electric Machinery Fundamentals’4th edition, McGraw Hill Education Pvt. Ltd, 2010.

2. P.C. Sen‘Principles of Electric Machines and Power Electronics’ John Wiley & Sons; 3rd Edition 2013.

3. Nagrath, I.J. and Kothari.D.P., Electric Machines’, McGraw-Hill Education, 2004

REFERENCES EE8301 Notes Electrical Machines 1

1. Theodore Wildi, “Electrical Machines, Drives, and Power Systems”, Pearson
Education., (5th Edition), 2002.

2. B.R. Gupta ,’Fundamental of Electric Machines’ New age International Publishers,3rd Edition ,Reprint 2015.

3. S.K. Bhattacharya, ‘Electrical Machines’ McGraw – Hill Education, New Delhi, 3rd Edition,2009.

4. Vincent Del Toro, ‘Basic Electric Machines’ Pearson India Education, 2016.

5. Surinder Pal Bali, ‘Electrical Technology Machines & Measurements, Vol.II, Pearson, 2013.

6. Fitzgerald. A.E., Charles Kingsely Jr, Stephen D.Umans, ‘Electric Machinery’, Sixth edition, McGraw Hill Books Company, 2003.

Subject name Electrical Machines 1
Semester 3
Subject Code EE8301
Regulation 2017 regulation

EE8301 Notes Electrical Machines 1 Click Here To Download 

 EE8301 Syllabus Electrical Machines 1


EE8301 Important Questions Electrical Machines 1


EE8301 Question Bank Electrical Machines 1

Categories
UG syllabus R-2017

EE8301 Syllabus Electrical Machines 1 Regulation 2017 Anna University

EE8301 Syllabus Electrical Machines 1

EE8301 Syllabus Electrical Machines 1 Regulation 2017 Anna University free download. Electrical Machines 1 Syllabus EE8301 pdf free download.

UNIT I MAGNETIC CIRCUITS AND MAGNETIC MATERIALS EE8301 Syllabus Electrical Machines 1

Magnetic circuits –Laws governing magnetic circuits – Flux linkage, Inductance and energy – Statically and Dynamically induced EMF – Torque – Properties of magnetic materials, Hysteresis and Eddy Current losses – AC excitation, introduction to permanent magnets- Transformer as a magnetically coupled circuit.

UNIT II TRANSFORMERS EE8301 Syllabus Electrical Machines 1

Construction – principle of operation – equivalent circuit parameters – phasor diagrams, losses – testing – efficiency and voltage regulation-all day efficiency-Sumpner’s test, per unit representation – inrush current – three phase transformers-connections – Scott Connection – Phasing of transformer– parallel operation of three phase transformers-auto transformer – tap changing transformers- tertiary winding.

UNIT III ELECTROMECHANICAL ENERGY CONVERSION AND CONCEPTS IN ROTATING MACHINES EE8301 Syllabus Electrical Machines 1

Energy in magnetic system – Field energy and co energy-force and torque equations – singly and multiply excited magnetic field systems-mmf of distributed windings – Winding Inductances-, magnetic fields in rotating machines – rotating mmf waves – magnetic saturation and leakage fluxes.

UNIT IV DC GENERATORS EE8301 Syllabus Electrical Machines 1

Construction and components of DC Machine – Principle of operation – Lap and wave windings-EMF equations– circuit model – armature reaction –methods of excitationcommutation – interpoles compensating winding –characteristics of DC generators.

UNIT V DC MOTORS EE8301 Electrical Machines 1

Principle and operations – types of DC Motors – Speed Torque Characteristics of DC Motorsstarting and speed control of DC motors –Plugging, dynamic and regenerative brakingtesting and efficiency – Retardation test- Swinburne’s test and Hopkinson’s test – Permanent Magnet DC (PMDC)motors-applications of DC
Motor

Subject name Electrical Machines 1
Semester 3
Subject Code EE8301
Regulation 2017 regulation

EE8301 Syllabus Electrical Machines 1 Click here to download

EE8301 Notes Electrical Machines 1


EE8301 Important Questions Electrical Machines 1


EE8301 Question Bank Electrical Machines 1