**RGPV Syllabus for 3rd Sem EX Branch **

**B.E. 301 – ENGINEERING MATHEMATICS II**

Unit I

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.

Unit II

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

Unit III

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

Series Method

Unit IV

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

Unit V

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

References

(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**

Unit I

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.

Unit II

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.

Unit III

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.

Unit IV

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.

Unit V

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.

References:

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**

Unit I

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.

Unit II

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.

Unit III

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.

Unit IV

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

hour meter.

Potentiometer – DC potentiometer standardization – Lab type Crompton’s potentiometer, application

of DC potentiometer, AC polar type and coordinate type potentiometer, their construction and

applications.

Unit V

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.

References:

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

tester

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

wattmeter

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**

Unit 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.

Unit II

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.

Unit III

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

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