RGPV Syllabus for 3rd Sem EX Branch
B.E. 301 – ENGINEERING MATHEMATICS II
Fourier Series: Introduction of Fourier series , Fourier series for Discontinuous functions, Fourier series
for even and odd function, Half range series Fourier Transform: Definition and properties of Fourier
transform, Sine and Cosine transform.
Laplace Transform: Introduction of Laplace Transform, Laplace Transform of elementary functions,
properties of Laplace Transform, Change of scale property, second shifting property, Laplace transform
of the derivative, Inverse Laplace transform & its properties, Convolution theorem, Applications of L.T.
to solve the ordinary differential equations
Second Order linear differential equation with variable coefficients : Methods one integral is known,
removal of first derivative, changing of independent variable and variation of parameter, Solution by
Linear and Non Linear partial differential equation of first order: Formulation of partial differential
equations, solution of equation by direct integration, Lagrange’s Linear equation, charpit’s method.
Linear partial differential equation of second and higher order: Linear homogeneous and Non
homogeneous partial diff. equation of nth order with constant coefficients. Separation of variable method
for the solution of wave and heat equations
Vector Calculus: Differentiation of vectors, scalar and vector point function, geometrical meaning of
Gradient, unit normal vector and directional derivative, physical interpretation of divergence and Curl.
Line integral, surface integral and volume integral, Green’s, Stoke’s and Gauss divergence theorem
(i) Advanced Engineering Mathematics by Erwin Kreyszig, Wiley India
(ii) Higher Engineering Mathematics by BS Grewal, Khanna Publication
(iii) Advance Engineering Mathematics by D.G.Guffy
(iv) Mathematics for Engineers by S.Arumungam, SCITECH Publuication
(v) Engineering Mathematics by S S Sastri. P.H.I.
EX- 302 Electromagnetic Theory
Cartesian, cylindrical & spherical co-ordinate systems, scalar & vector fields, gradient,
divergence & curl of a vector field, Divergence theorem & Stokes’s theorem, concept of vectors.
Electrostatic Fields – Coulomb’s law, electric field intensity due to different charge distribution viz.
line charge, sheet charge, Field due to continuous volume – electric potential, properties of potential
function, potential gradient equipotential surfaces, line of force, Gauss law, applications of Gauss
law, Gauss law in point form, method of images.
Laplace’s & Poisson’s equations, solution of Laplace’s equation, Electric dipole, dipole moment,
potential & electric field intensity due to dipole, Behavior of conductors in an electric field. Conductor
& insulator, electric field inside a dielectric, polarization, Boundary value conditions for electric Field,
Capacitance & Capacitances of various types of capacitors, Energy stored and energy density in
static electric field, Current density, conduction & convection current density ohms law in point form,
equation of continuity.
Static Magnetic Field, Biot-Savart’s law, Magnetic Field intensity due to straight current carrying
filament, circular, square and solenoidal current carrying wire, Relationship between magnetic flux,
flux density & magnetic Field intensity; Ampere’s circuital law and its applications, magnetic Field
intensity due to infinite sheet and various other configurations, Ampere’s circuital law in point form,
Magnetic force, moving charge in a magnetic field, Lorentz Force on straight and long current
carrying conductors in magnetic field, force between two long & parallel current carrying conductors.
Magnetic dipole & dipole moment, a differential current loop as dipole, torque on a current carrying
loop in magnetic field, Magnetic Boundary conditions.
Scalar magnetic potential and its limitations, Vector magnetic potential and its properties, vector
magnetic potential due to different simple configurations; Self and Mutual inductances, determination
of self & mutual inductances, self inductance of solenoid, toroid coils, mutual inductance between a
straight long wire & a square loop. Energy stored in magnetic Field & energy density, Faraday’s Law,
transformer & motional EMFs, Displacement current, Maxwell’s equations as Generalization of
circuit equations, Maxwell’s equation in free space, Maxwell’s equation for harmonically varying
Field, static and steady fields, Maxwell’s equations in differential & integral form.
Electro Magnetic Waves : Uniform plane wave in time domain in free space, Sinusoidally time
varying uniform plane wave in free space, Wave equation and solution for material medium, Uniform
plane wave in dielectrics and conductors, Pointing Vector theorem, instantaneous, average and
complex poynting vector, power loss in a plane conductor, energy storage, Polarization of waves,
Reflection by conductors and dielectric – Normal & Oblique incidence, Reflection at surface of a
conducting medium, surface impedance, transmission line analogy.
1. Mathew N.O Sadiku; Elements of Electromagnetic; Oxford.
2. P.V. Gupta; Electromagnetic Fields; Dhanpat Rai.
3. N.N. Rao; Element of Engineering Electromagnetic; PHI.
4. William H. Hayt; Engineering Electromagnetic; TMH.
5. John D. Kraus; Electromagnetic; TMH.
6. Jordan Balmian; Electromagnetic wave & Radiating System; PHI.
7. David K. Cheng; Fields and Wave Electromagnetic; Addison Wesley.
8. S.P. Seth; Electromagnetic Field ;Dhanpat Rai & Sons
Note: Field plotting of electromagnetic systems on a PC using standard softwares. Application for low and
high frequency devices. Suggested softwares, GEMINI(Infolytica), ANSYS, ANSOFT, NISA.
EX – 303 Electrical Instrumentation
Measurement and error, Accuracy and precision, sensitivity resolution, Error & Error analysis,
Effect of temperature, Internal friction, Stray field, Hysterisis and Frequency variation & method of
minimizing them, Loading effects, due to shunt connected and series connect ed instruments,
calibration curve, Testing & calibration of instruments.
Galvanometers – Theory & operation of ballistic galvanometer, D’arsonal galvanometer,
galvanometer motion & damping, Sensitivity, Flux meter, Vibration galvanometer, Spot deflection
galvanometer. Definition of analog & digital instruments, Classification of analog instruments, their
operating principle, Operating force, Types of supports, Damping, Controlling.
Different types of Ammeter & Voltmeter – PMMC, MI, Electrodynamometer, Hotwire,
Electrostatic, Induction, Rectifier, Ferro dynamic & Electro-thermic, Expression for control &
deflection torque, their advantages, disadvantages & error, Extension of range of instruments using
shunt & multiplier.
Instrument transformers: Potential and current transformers, ratio and phase angle errors,
testing of instrument transformers, Difference between CT and PT, errors and reduction of errors.
Measurement of power: Power in AC and DC Circuit, Electrodynamometer type of wattmeter,
Construction, theory, operation & error, Low power factor & UPF wattmeter, Double element and
three element dynamometer wattmeter, Measurement of power in three phase circuit, one, two &
three wattmeter method, Measurement of reactive power by single wattmeter, Measurement of
power using CTs & PTs.
Measurement of Energy: Single phase induction type energy meter – construction & operation –
driving and braking torques –errors & compensations – Testing by phantom loading and using
R.S.S. meter- Three phase energy meter – Tri-vector meter – Maximum demand meter, Ampere
Potentiometer – DC potentiometer standardization – Lab type Crompton’s potentiometer, application
of DC potentiometer, AC polar type and coordinate type potentiometer, their construction and
Miscellaneous Instruments & Measurements: Power factor meter, Single phase and three phase
Electro-dynamometer type & moving iron type.
Frequency meter – Vibrating reed, Resonance type & Weston type, Synchronoscope, Ohmmeter –
series & stunt type, Multi-meter, Megger & Ratio meter.
Resistance Measurement – Classification of low, medium & high resistance – Voltmeter, Ammeter,
Wheatstone Bridge, Kelvin’s double bridge & loss of charge methods for resistance measurement,
Earth resistance measurement.
Magnetic Measurement – B-H Curve, Hysterisis Loop determination, Power loss in sheet metal –
Lloyd Fischer square for measurement of power loss.
1. E W Golding & F C Widdis; Electrical Measurement & Measuring Instruments; Wheeler Pub.
2. A.K. Sawhney; Electrical & Electronic Measurements & Instrument; Dhanpat Rai & Sons Pub.
3. Buckingham & Price; Electrical Measurements; Prentice Hall
List of experiments (Expandable):
1. Measurement of low resistance using Kelvin’s Double bridge
2. Measurement of medium resistance using Wheatstone’s bridge
3. Measurement of high resistance by loss of charge method
4. Measurement of Insulation resistance using Megger
5. Measurement of earth resistance by fall of potential method and verification by using earth
6. Measurement of power in a single phase ac circuit by 3 voltmeter/ 3 Ammeter method
7. Calibration of a dynamometer type of wattmeter with respect to a standard/Sub Standard
8. Calibration of a induction type single phase energy meter
9. Calibration of a dynamometer type of wattmeter by Phantom Loading method
10. Measurements using Instrument Transformers
11. Study of various types of Indicating Instruments
12. Measurement of Power in three phase circuit by one, two & three wattmeters.
EX – 304 Electronics Devices & Circuits -I
Semiconductor Diode & Rectifiers: Semiconductor diodes, ideal & practical diode equivalent
circuit & frequency response, graphical analysis of diode circuits, diode applications, clipping and
clamping circuits, half wave & full wave rectifier circuits with & without filters.Type of diodes and their
applications, Signal diodes, Power Diode, Zener diode, Varactor diode, Schottky diode, PIN diode,
Tunnel diode, Photo diode. Direct tunneling equivalent cirucuit, Tunnel diode oscillator; Solar Cell,
LED, LEDs specification & geometry of LEDs, Colours of LEDs, LCD, Diffusion and Transition
capacitance of P-N junction diode, Simple zener regulators.
Transistor Characteristics: Construction, principle of operation, V-I characteristics, Symbols,
equivalent circuit, parameter calculations, applications, limitations and specifications of BJT, FET,
UJT and MOSFET’S (Different configurations of transistors are to be considered), Specifications of
BJT, FET, UJT and MOSFET’s.
Amplifiers: Biasing, DC Equivalent Model, criteria for fixing operating point and methods of
bias stabilizaion, thermal runaway and thermal stability, small signal low- frequency transistor
amplifier – circuits; h-parameters, representation of transistor, analysis of single stage transistor
amplifier using h-parameters, voltage gain current gain, input impedance output impedance,
Comparison of BJT & FET. RC coupled amplifier – frequency response, cascaded amplifiers (all
configurations of BJT and FET are to be considered). High frequency model of transistor