E- 301   APPLIED MATHEMATICS

(1)   ORDINARY DEFFERENTIAL EQUATION OF HIGHER ORDER : Definition complete solution, operator D,  complementary function, Inverse operator, Rules for finding particular integral, Cauchy’s and Lengendre’s linear equation, simultaneous linear quations with constant coefficiants, Application to engineering problems such as forced damped oscillations, electrical circuits etc.

(2)    FOURIER SERIES :  Euler’s formula, Dirichlet’s conditions, functions having points of discontinity, change of interval,  expansion of odd or even periodic functions,  Half range series. 

(3)   LAPLASE TRAMSFORM :  Introduction, Transform of elementary functions, properties of     L. T.  existence conditions, Inverse Transform,  Transform of derivatives, Transform of integrals,  multiplication by tn,  devision by t, convolution theoram,  Application to  solution od diffrential equation.

(4)   INTEGRAL  TRANSFORM :    Introduction, Definition, fourier integral, Fourier transform, convolution theoram for F- transform parsvel’s  identity, Relation between Fourier and laplace Transform, F-tramsform of the derivative of a function, application of transform to boundary value problems.

(5)   Series solution of differential equation of the type

Po d2y/dx2 +  Pi dy/dx + P2y = 0

(6)   PARTIAL DIFFERENTIAL EQUATION WITH APPLICATION : Formation of

p.d.e, Particular and complete interal,  Equation solvable by  direct integration Linear

equation of first order, Non linear equation of first order,  Homogeneous linear equation  with constant coefficients, Methods of separation of varibles, Boundry  value problems, solution of wave equation, one dimensional heat flow problems,solution of Laplace’s  equation  ( two dimension ) 

       BOOKS : 

1.      Higher engineering Mathematics by B.S. GRAWAL 

2.     A. text book of Applied Mathematics by  P.N. WARTILCAR/J.N.WARTILCAR.

3.      Engg. Mathematics by G. V. KUMBHOJKAR II/III  

4.      Advance Engg.  Mnathematics by  CHANDRIKA PRASAD

(1)  Network   topology  definitions,  tie  set  &  cut  set   tables   source transformation dot  convention principles of duality.

(2)  Network  equations  :-  Mesh/loop  current  and  node  voltage   analysis equations  for coupled circuits.

(3)  Initial   conditions  in  elements,  procedure  for  evaluating   initial conditions.

(4)    Solution of circuit equations by replace transform transient analysis  of R-L, R-C Circuits, R.L.C. Circuits.

(5)    Waveform synthesis, initial & final value theorems.

(6)    Network theorems :Thevenins, Nortons, super position Millman, reciprocity  & max.  power transfer.

(7)    Impedance  function  - concept of complex freq.  transform  impedance  * transform  circuits.

(8)    Network  functions  for  one part & two  parts,  calculation  of  network functions,   poles & zeros. Time domain behavior.

(9)  Two-ort  parameters  :- relationship of two port  valiables;  admittance,

        impedance,  transmission  and  hybrid  parameters.  Relationship  between  parameter sets. Series parallel combinations of two port networks.

(10)  Properties   of   positive  real  function,  necessary   and   sufficient

         conditions. Basic synthesis procedure.

     Practical / Term work shall be based on the subject.

     Book (1)  Network analysis - M.E. Van  Veikenbery.

               (2)  Network analysis - G.K. Mithal 

               (3)  Network synthesis - M.E. Van  Veikenbery.

               (4)  Network analysis -    Rao

D.C.Machine : Principle of D.C.Generator and motor, construction, type of generator,  E.M.F.  Equation, voltage build up process, critical resistance and speed  characteristic of generator, performance equation and efficiency, effect of   armature reaction on terminal voltage.

 D.C.Motor : Type of motors, torque equation, characteristics, losses and   efficiency, starting & speed control, Armature reaction and commutation.

Transformer: Construction and principle of single-phase transformer operation at no load    and on load, vector diagram, equivalent circuit, losses and efficiency,    regulation determination of regulation & efficiency by direct load test and    indirect test method.

Alternator    : Construction and principle of operation, E.M.F. equation, distribution and    pitch factor, armature reaction, synchronous impedance, voltage    regulation, regulation by syn.Imp. Method, synchronizing.

Poly phase induction motor: Rotation magnetic field, construction, type of motors,   principle of operation, vector diagram, torque and power equation  performance calculation.

ELECTRICAL TECHNOLOGY

            Books :  B.L. Theraja Vol. – II

                         A/C Machine           by       M.G.Say

                         D.C.Machine           by       Clayton

1.      BASIC AMPLIFIER STAGES AT LOW FREQUENCIES

Waveforms for a sinusoidal input ,The operation point of a BJT,BJT biasing for integrated circuits, The Widlar current source, Three-transistor current sources, Discrete component BJT biasing – analysis, Discrete component biasing- design,FET biasing, Linear analysis of transistor circuits, The common-emitter amplifier, The emitter follower, The common-base amplifier, Comparison of BJT amplifier configurations, The common-emitter amplifier with an emitter resistance, FET amplifier stages, Cascaded BJT amplifiers, Compound (composite) transistor stages,

2.      FREQUENCY RESPONSE OF AMPLIFIERS

Frequency response characteristics, Step response of amplifiers, The common-emitter short-circuit current gain, The generalized gain function, The high-frequency response of a common-emitter stage, The gain-bandwidth product, The common-source stage at high frequency, Emitter and source followers at high frequencies, The time-constant method for obtaining the response, The frequency response of cascaded stages, The cascode ( CE-CB ) amplifier, The operational amplifier at high frequency, The effect of coupling and bypass capacitors.

3.      FEEDBACK AMPLIFIERS

Classification and representation of amplifiers, The feedback concept, The ideal feedback amplifier, Properties of negative-feedback amplifiers, Impedance in feedback amplifiers, Properties of feedback amplifier topologies, Approximate analysis of a feedback amplifier, General analysis of feedback amplifiers, Impedance in feedback amplifiers revisited

 The shunt-feedback triple, The shunt-series pair, The series-shunt pair, The series triple, General analysis of multistage feedback amplifiers, Multi-loop feedback amplifiers

4.      STABILITY AND RESPONSE OF FEEDBACK AMPLIFIERS

Effect of feedback on bandwidth,Stability,Tests for stability,Compensation,Frequency response of feedback amplifiers- The double pole transfer function,Phase margin of a two-pole feedback amplifier, Three pole feedback amplifier response,Approximate analysis of a multi-pole feedback amplifier, Approximate analysis of the open-loop poles, Compensation revisited.

5.      I.C. FABRICATION

Monolithic integrated circuit technology, the planar process, bipolar transistor  fabrication, fabrication of FET, CMOS technology, Monolithic diodes, Metal semiconductor contact, IC resistors, IC capacitors, IC packing,  characteristics of IC components, microelectronic circuit layout.

6.      POWER SUPPLIES

 Supply characteristics, Shunt regulators, Series regulators, Monolithic regulators, Switching regulators, Current boosters, DC to DC convertors.

The practical and term work shall be based on syllabus.

Books : -

1.     Microelectronics      by Jacob Millman & Arvin Grabel

2.      Electronic devices & circuits    by Millman  &  Halkias ,  MGH.

3.       Electronic circuits   by Schilling belove ,MGH.

4.      Electronic devices & circuits    by Mottershed.

5.      Electronic devices & circuits    by Mohammed  S . Ghausi.

(1)    Steam  turbines,  classification velocity  diagrams,  their  performance, losses governing condensers.

(2)    IC  Engines  :-  Classification,  fuels,  cooling,  lubrication,  their performance.

(3)    Gas  turbines  -  Cycles,  specific  output  and  efficiency  and   their improvement   methods.

(4)    Air motors and compressors - Working principles and operation.

(5)   Hydraulic  prime  movers - Dynamic behavior, fluid  velocity  triangles, work  done, Efficiency, water wheels  and their classification,  hydraulic  turbines   and  their  classification,  working principle and performance, Draft tube,  governing and  characteristics.

(6)  Governors: Construction & working of different types of governors, terms   related to     governors.

 (7)  Flywheel: Function of flywheel, Turning moment diagram, terms related to flywheel.

 (8)   High pressure boilers: Construction & Working.

     Note : Term work shall be based on the above syllabus.

     Reference books

 (1) Hydraulic machines - R.C. Patel and A.D. Pandya

 (2) Heat Engines – Balleny

 (3) Theory of machines – R.S. Khurmi

E – 306 ELECTRICAL WORKSHOP

1.                  Study  & performance of different types of wirings  ( All types ) 

2.                  Introduction of various electrical measuring instruments. (All types) 

3.                  Methods of Connection of different types of meters.    

4.                  Electrical accidents awareness, precautions & safety measures    primary treatment  at the time of fetal accident/shock. 

5.                  Study of  types of wires & cables, and cable jointing methods. 

6.                  Study of various types of conductors. 

7.                  Study of various types of electrical earthing. 

8.             Study of Electrical energy flow from generation to utilisation by single line  diagram.

9.                  Introduction of various protective devices like MCBS, ELCBS etc. 

10.              Types of elect. Faults & fault detection techniques & rectification.