Entrance Exams in India EduDiary

Syllabi For Lateral Entry Stream

Paper - I

Basic Electrical Engineering

Electrostatics, electromagnetism & electrodynamics :Coulomb’s Law, Gauss theorem and its applications in calculating the field intensity, potential gradient due to spherical, cylindrical and plane charges. Calculation of capacitance of spherical, coaxial, cylindrical and parallel plate condensers, dielectrics, energy stored in an electric field. Circuital Law of magnetism, magnetic field intensity and flux density due to a long straight conductor, solenoid and toroid carrying current. Ferromagnetic material in a magnetic field, permeability B-H curves, cyclic magnetisation and hysteresis. Idea of magnetic circuit, mmf and reluctance, calculation of simple magnetic circuits, effect of leakage.Faraday’s law of electrodcmagnetic induction, e.m.f in a conductor and a coil moving in a magnetic field. Self and mutual, inductance series parallel combination, Energy stored in magnetic field.

D.C. Circuits : Idea of d.c. circuits, power and energy in electric circuits, reduction of electric network by series, parallel and star-delta conversion, representation of voltage source and current source, Kirchoff’s laws and their application to solve electrical circuits by branch and loop current method and nodal method. Transient phenomena in RL, RC and RLC circuits with D.C. excision.

A.C. Circuits : Alternating current voltage, different wave forms, average value, effective value and form factor. Sinusodial voltage and current, amplitude, frequency and phase, addition and subtraction of A.C. quantities, phasor diagram, complex representation of sinusoidal quantities, reactance, impedance and admittance, Simple series and parallel circuits and use of complex algebra in solving them, Power and power factor, active and reactive components, idea of power factor improvement, series and parallel resonance Q - factor. Introduction to three phase circuits, relation between phase and lien quantities. Star and Delta connection of sources and loads, active and reactive power in 3-phase circusits, single and two wattmeter method of power measurement. Steady circuit equations, solutions of simple coupled circuits containing R,L, C and M.

Instruments : Construction and principle of operation of permanent magnet moving coil, moving iron and dynamometer type ammeters and voltmeters, dynamometer type wattmeters.

Illumination : Definition and units of luminous flux, luminous intensity, illumination, brightness, luminous efficiency.

Production of light : Filament lamps, halogen lamps, sodium and mercury vapour lamps, fluorescent lamps, lighting calculation by inverse Square law and light flux method, co-efficient of utilization and maintenance factor.

Mathematics

Ordinary Differential Equations : Differential equations of first order, Physical applications, Linear differential equations, Homogeneous and non- homogeneous second order linear differential equation with constant co-efficients. Application to free and forced vibration of spring mass systems, method of variation of parameters. Normal form change of dependent and independent variables. Cauchy’s Euler’s equation.

Series Method : Properties of power series, solution of ordinary differential equations. Legendre equations. Legendre Polynomials and functions, methods of Frobenius, the Gamma function, the Bessel – Clifford equations, Bassel’s equation, non-homogeneous equations.

Laplace Transforms : The Laplace transforms (L.T.), L.T. of derivaties and integrals, derivatives and integrals of Laplace transforms, L.T. of periodic functions, Inverse Laplace transforms, Convolution theorem, Application of L.T. to solution of differential equations, special techniques.

Fourier Series : Fourier theorem, Fourier expansion, even and odd functions, half range expansion, seems and scale changes, forced oscillation, Miscellaneous expansion techniques.

Matrices : Notation and terminology, Solution of simultaneous equations by Gaussian elimnation, Rank, Computation of rank by reduction of Rewechelon normal form, Algebra of matrix, inverse determinants, linear dependence and independence, solution of homogeneous and non-homogenous systems. Norms and products, Gram-schemidt Process, Projection matrix, eiegenvalues, eigen vectors, Symmetric and simple matrix, System of linear differential equations the homogenous case.

Vectors : Vector algebra, Vector differentiation, Vector operator del , gradient, divergence, curl, integral theorem.

Engineering Mechanics

Statics : System of co-planer forces – Condition for equilibrium- concept of free body diagrams- Methods of solution of engineering problems, problem with friction - Belt friction and screw jack. Force analysis of plane trusses ( method of joints and method of sections) Analysis of frames ( Method of members). First moment of area and centroid – theorem of Papus, Second momentum of areas,Polar moment of Inertia. Principle of virtual work for a single particle, rigid bodies, ideal systems and constrained bodies.

Dynamics : Kinematics of rigid body – Plane motion, Kinetics of translation and rotating rigid bodies, moment of inertia of bodies. D’Alembert’s Principle- Application to a single particle rigid body in translation and rotation, ideal systems. Momentum and impulse, Application to principle of linear momentum to a single particle, rigid bodies and ideal systems, Impact – application of principle of angular momentum to a single particle and rotating rigid bodies, Principle of conservation of momentum. Work and energy : Principle of work and energy for a single particle, rotating rigid body and ideal systems, Principle of conservation of energy.