DC Circuits ( 8 Lectures )

Electrical Circuit elements (R, L and C), Voltage and Current sources, Kirchhoff current and voltage Laws, Analysis of simple circuits with DC excitation. Star-Delta conversion, Network theorems (Superposition, Thevenin, Norton and Maximum power transfer theorems). Time-domain analysis of first order RL and RC circuits

AC Circuits ( 8 Lectures )

Representation of sinusoidal waveforms, Peak, rms and Average values (Form factor and Peak factor), Impedance of series and parallel circuit, Phasor representation, Real Power, Reactive Power, Apparent Power, Power Factor, Power Triangle. Analysis of single-phase Ac circuits consisting of R, L, C, RL, RC, RLC Combinations (Series and Parallel), Resonance. Three-Phase Balanced Circuits, Voltage and current relations in Star and Delta connections

Magnetic Circuits ( 4 Lectures )

Introduction, Series and Parallel Magnetic circuits, Analysis of Series and Parallel magnetic circuits.                                            

Transformers ( 6 Lectures )

Magnetic Materials, B-H characteristics, Ideal and Practical Transformer, EMF equation, Equivalent Circuit, Losses in transformers, Regulation and efficiency. Auto-transformer and Three-Phase Transformer connections.

Electrical Machines (10 Lectures )

Construction, Working, Torque-Speed characteristic and speed control of separately excited DC Motor. Generation of rotating Magnetic Fields, Construction and working of a ThreePhase induction Motor, Significance of Torque-Slip characteristic. Loss components and efficiency, Starting and speed control of induction Motor. Construction and working of synchronous Generators.

Electrical Installations ( 6 Lectures )

Components of L-t Switchgear: Switch Fuse Unit (SFU), MCB, ELCB, MCCB, Types of wires and cables, Earthing. Types of Batteries, Important characteristics for Batteries. Elementary calculations for energy consumption, Power factor improvement and Battery backup.

Suggested books

1. D. P. KOTHARI AND I. J. NAGRATH, “BASIC ELECTRICAL ENGINEERING”, TATA MCGRAW HILL, 2010.
2. D. C. KULSHRESHTHA, “BASIC ELECTRICAL ENGINEERING”, MCGRAW HILL, 2009.
3. L. S. BOBROW, “FUNDAMENTALS OF ELECTRICAL ENGINEERING”, OXFORD UNIVERSITY PRESS, 2011.
4. BASIC ELECTRICAL ENGINEERING BY FITZERALD,

Calculus-I ( 6 Lectures )

Evolutes and involutes, Evaluation of definite and improper integrals, Beta and Gama functions anf their properties, Application of definite integrals to evaluate surface area and volume of revolutions.

Calculus-II( 6 Lectures )

Rolles theorem, Mean value theorem, Taylor and Maclaurin theorems with remainders, Intermediate forms and L-hospital rules, Maxima and Minima.

Sequence and Series ( 10 Lectures )

Convergence of sequence and series,Test for convergence, Power series, Taylor series, Series for Exponential, Trigonomertic and logarithmic functions, Fourier series: Half range sine and cosine series, Parsevals theorem.

Multivariable Calculus ( Differentiation )( 8 Lectures )

Limit continuty and partial Derivatives, Directional Derivatives, Total Derivatives, Tangent plane and Normal line, Maxima minima and saddle points, Methode of Lagrangemultipliers, Gradient, Curl, and Divergence.

Matrices & Determinants ( 10 Lectures )

Inverse and rank of matrix, Rank-Nullity theorem, System of linear equations,Symmetric, Skew-symmertic and Orthogonal matrices. Determinants: Cayley Hamilton theorem and orthogonal transformation.

Traditional Engineering Graphics

Principles of Engineering Graphics; Orthographic Projection; Descriptive Geometry; Drawing Principles; Isometric Projection; surface Development; Perspective; Reading a Drawing; Sectional Views; Dimensioning & Tolerances; True Length, Angle; Intersection, Shortest Distance

Engineering Graphics Software; Spatial Transformations; Orthographic Projections; Model viewing; Co-ordinate systems; Multi-view projection; Exploded assembly; Model viewing; Animation; Spatial manipulation; Surface Modelling; sSlid Modelling, Introduction to Building Information Modelling (BIM).

Introduction to Engineering Drawing

Principles of Engineering Graphics and their significance, Usage of Drawing Instruments, Lettering, Conic sections including the rectangular Hyperbola (General method only); Cycloid, Epicycloid, Hypocycloid and Involute; Scales – Plain, Diagonal and Vernier Scales

Orthographic projections

principles of orthographic projections- Conventions-Projections of points and Lines inclined to both Planes, projections of planes inclined planes Auxiliary Planes.

Projections of Regular Solids

Those inclined to both the Planes-Auxiliary views, Draw simple Annotation, Dimensioning and scale floor plains that include: Windows, Doors and Fixtures such as WC, Bath, Sink, Shower, etc.

Sections and Sectional views of Right Angular Solids

Covering, Prism, Cylinder, Pyramid, Cone – Auxiliary views; Development of surfaces of Right Regular Solids- Prism, Pyramid, cylinder and Cone; Draw the sectional Orthographic views of Geometrical Solids, Objects from industry and Dwellings ( Foundation to Slab only )

Isometric Projections

Principles of Isometric projection – Isometric Scale, Isometric views, Conventions; Isometric views of Lines, Planes, Simple and compound solids; Conversion of isometric views to Orthographic views and vice-versa, Conventions

Overview of Computer Graphics

Listing the computer Technologies that impact on Graphical Communication, Demonstrating knowledge of the theory of CAD Software [ such as: The Menu system, Toolbars ( Standard, Object properties, Draw, Modify and Dimension), Drawing Area ( Background, Crosshairs, Coordinate system ), dialog boxes and windows, Shortcut menus (Button bars), The command line (where applicable ), The status bar, Different methods of zoom as used in CAD, Select and erase objects. Isometric views of Lines, Planes, Simple and Compound Solids ]

Customisation and CAD Drawing

Consisting of set up of the drawing page and the printer, Including scale settings, Setting up of units and Drawing Limits; ISO and ANSI Standards for coordinate Dimensioning and Tolerancing; Orthographic constraints, Snap to objects manually and automatically; Producing drawings by using various coordinate input entry methods to draw straight lines, Applying various ways of Drawing Circles.

Annotaions, Layering and Other Functions

Covering applying Dimensions to objects, Applying annotations to drawings; Setting up and use of layers, Layers to create drawings, Create, Edit and use customized layers; Changing line lengths through modifying existing lines ( extend/lengthen ); Printing documents to paper using the print command; Orthographic projection techniques; Drawing sectional views of composite right regular geometric solids and project the true shape of the sectioned surface; Drawing annotation, Computer-Aided Design ( CAD ) software modeling of parts and assemblies. Parametric and Non-Parametric solid, Surface, and Wireframe models. Part editing and Two-Dimensional documentation of models. Planar projection theory, Including sketching of perspective, Isometric, Multiview, Auxiliary and section views. Spatial visualization exercises. Dimensioning guidelines, Tolerancing techniques; Dimensioning and scale multi views of Dwelling.

Demonstration of a sample Team Design project that Illustrates

Geometry and Topology of Engineered Components: Creation of Engineering models and their presentation in standard 2-D Blueprint form and as 3-D wireframe and shaded solids; Meshed Topologies for Engineering Analysis and Toolpath Generation for Component Manufacture; Geometric Dimensioning and Tolerancing; Use of solid-modeling software for creating associative models at the component and assembly levels. Floor plans that include: Windows, Doors, and Fixtures such as WC, Bath, Sink, Shower, etc. Applying colour coding according to building drawing practice; Drawing sectional elevation showing foundation to ceiling; Introduction to Building Information Modelling ( BIM ).

1.BHATT N.D., PANCHAL V.M. & INGLE P.R., (2014), ENGINEERING DRAWING, CHAROTAR PUBLISHING HOUSE
2. SHAH, M.B. &RANA B.C. (2008), ENGINEERING DRAWING AND COMPUTER GRAPHICS, PEARSON EDUCATION
3. AGRAWAL B. & AGRAWAL C. M. (2012), ENGINEERING GRAPHICS, TMH PUBLICATION
4. NARAYANA, K.L. & P KANNAIAH (2008), TEXT BOOK ON ENGINEERING DRAWING, SCITECHPUBLISHERS

ELECTROSTATICS IN VACUUM (8 LECTURES)

Calculation of electric field and electrostatic potential for a charge distribution; Divergence and Curl of electrostatic field; Laplace’s and Poisson’s equations for electrostatic potential and uniqueness of their solution and connection with steady state diffusion and thermal conduction; Practical examples like Farady’s cage and Coffee-ring effect; Boundary conditions of electric field and electrostatic potential; Method of images; Energy of a charge distribution and its expression in terms of Electric Field.

ELECTROSTATICS IN A LINEAR DIELECTRIC MEDIUM (4 LECTURES)

Electrostatic field and potential of a Dipole. Bound charges due to electric polarization; Electric displacement; Boundary conditions on displacement; Solving simple electrostatics problems in presence of dielectrics – Point charge at the centre of a Dielectric sphere, Charge in front of a dielectric slab, Dielectric slab and dielectric sphere in Uniform electric field.

MAGNETOSTATICS (6 LECTURES)

Bio-Savart law, Divergence and Curl of static magnetic field; Vector potential and Calculating it for a given magnetic field using Stokes’ theorem; The equation for the vector potential and its solution for given current Densities.

MAGNETOSTATICS IN A LINEAR MAGNETIC MEDIUM (3 LECTURES)

Magnetization and associated bound Currents; Auxiliary magnetic field; Boundary conditions on and. Solving for magnetic field due to simple magnets like a Bar Magnet; Magnetic susceptibility and Ferromagnetic, Paramagnetic and Diamagnetic materials; Qualitative discussion of magnetic field in presence of magnetic materials.

FARADAY’S LAW (4 LECTURES)

Faraday’s law in terms of EMF produced by changing Magnetic Flux; Equivalence of Faraday’s law and motional EMF; Lenz’s law; Electromagnetic breaking and its applications; Differential form of Faraday’s law expressing Curl of electric field in terms of Time-derivative of magnetic field and calculating electric field due to changing magnetic fields in Quasi-static approximation; Energy stored in a Magnetic Field.

DISPLACEMENT CURRENT, MAGNETIC FIELD DUE TO TIME-DEPENDENT ELECTRIC FIELD AND MAXWELL’S EQUATIONS (5 LECTURES)

Continuity equation for current densities; Modifying equation for the curl of magnetic field to satisfy continuity equation; Displace current and magnetic field arising from time- dependent electric field; Calculating magnetic field due to changing electric fields in Quasi- Static approximation. Maxwell’s equation in vacuum and Non-conducting medium; Energy in an electromagnetic field; Flow of energy and poynting vector with examples. Qualitative discussion of momentum in electromagnetic fields.

ELECTROMAGNETIC WAVES (8 LECTURES)

The wave equation; Plane Electromagnetic waves in vacuum, Their transverse nature and Polarization; Relation between electric and magnetic fields of an Electromagnetic wave; Energy carried by Electromagnetic waves and examples. Momentum carried by electromagnetic waves and resultant pressure. Reflection and transmission of electromagnetic waves from a Non-conducting medium-vacuum interface for normal incidence.