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D.C. Circuits: Ohm's Law, junction, node, circuit elements classification: Linear & nonlinear, active & passive, lumped & distributed, unilateral & bilateral with examples. KVL, KCL, Loop and node-voltage analysis of resistive circuit. Star-Delta transformation for resistors.
Network Theorems: Superposition, Thevenin's, Norton's and Maximum power transfer theorems in a resistive network. AC Fundamentals: Mathematical representation of various wave functions. Sinusoidal periodic signal, instantaneous and peak values, polar & rectangular form of representation of impedances and phasor quantities. Addition & subtraction of two or more phasor sinusoidal quantities using component resolution method.RMS and average values of various waveforms.
A.C. Circuits: Behavior of various components fed by A.C. source (steady state response of pureR, pure L, pure C, RL, RC, RLC series with waveforms of instantaneous voltage, current & power on simultaneous time axis scale and corresponding phasor diagrams), power factor, active, reactive & apparent power. Frequency response of Series & Parallel RLC ckts including resonance, Q factor, cut-off frequency & bandwidth. Generation of alternating emf.
Balanced Three Phase Systems: Generation of alternating 3- phaseemf). 3-phase balanced circuits, voltage and current relations in star and delta connections. Measurement of 3-phase power by two wattmeter method for various types of star & delta connected balanced loads.
Single Phase Transformer (qualitative analysis only): Concept of magnetic circuits Relation between MMF & Reluctance. Hysteresis& Eddy current phenomenon. Principle, construction & emf equation Phasor diagram at ideal, no load and on load conditions. Losses & Efficiency, regulation OC & SC test, equivalent circuit, concept of auto transformer.
Electrical Machines (qualitative analysis only): Construction and working of dc machine with commutator action, speed control of dc shunt motor. Generation of rotating magnetic fields, Construction and working of a three-phase induction motor, Significance of torque-slip characteristic. Basics of Single-phase induction motor, capacitor start capacitor run Single-phase induction motor working. Basic construction and working of synchronous generator and motor.
Electrical Installations (LT Switchgear): Switch Fuse Unit (SFU), MCB, ELCB, MCCB, Types of Wires and Cables, Earthing.
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Differential Equations: Linear Differential Equations Of Nth Order With Constant Coefficients, Complementary Function And Particular Integral, Simultaneous Linear Differential Equations, Solution Of Second Order Differential Equations By Changing Dependent & Independent Variables, Normal Form, Method Of Variation Of Parameters, Applications To Engineering Problems (Without Derivation).
Series Solution And Special Functions: Series Solution Of Second Order Ordinary Differential Equations With Variable Coefficient (Frobenius Method), Bessel And Legendre Equations And Their Series Solutions, Properties Of Bessel Function And Legendre Polynomials.
Laplace Transform: Laplace Transform, Existence Theorem, Laplace Transforms Of Derivatives And Integrals, Initial And Final Value Theorems, Unit Step Function, Dirac- Delta Function, Laplace Transform Of Periodic Function, Inverse Laplace Transform, Convolution Theorem, Application To Solve Simple Linear And Simultaneous
Differential Equations: Fourier Series And Partial Differential Equations Periodic Functions, Fourier Series Of Period 2, Euler's Formulae, Functions Having Arbitrary Periods, Change Of Interval, Even And Odd Functions, Half Range Sine And Cosine Series, Harmonic Analysis. Solution Of First Order Partial Differential Equations By Lagrange's Method, Solution Of Second Order Linear Partial Differential Equations With Constant Coefficients.
Applications Of Partial Differential Equations: Classification Of Second Order Partial Differential Equations, Method Of Separation Of Variables For Solving Partial Differential Equations, Solution Of One And Two Dimensional Wave And Heat Conduction Equations, Laplace Equation In Two Dimension, Equation Of Transmission Lines.
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·
The
electrons are free to move within the metal like gaseous molecules. They are
confined to the metal due to surface potential.
·
The
velocity distribution of the free electrons is described by Fermi-Dirac
Statistics because electrons are spin half particles.
·
The
free electrons would go into the different energy levels by following Pauli’s
exclusion Principle which states that no two electrons have same set of Quantum
numbers.
·
The
motion of electrons is associated with a complex wave called matter wave,
according to De-Broglie hypothesis.
· The electrons cannot have all energies but will have discrete energies according to the equation, E = n2 h2 / 8ma2.
Drawbacks:
Conductivity: According to Quantum free electron
theory, the conductivity of a metal is
σ = μne, here ‘μ’
is the mobility of electrons, ‘n’ is the free electron concentration and ‘e’ is
the electron charge.
According to the
above equation, polyvalent metals like Aluminum (Al) should be more conductive
than monovalent metals like copper (Cu). But experimentally it is not so.
See,
Basically the stepper motor is an
electromechanical device which converts electrical power into mechanical power.
Also it is a brushless, synchronous electric motor that can divide a full
rotation into an expansive number of steps. The motor’s position can be
controlled accurately without any feedback mechanism, as long as the motor is
carefully sized to the application. Stepper motors are similar to switched
reluctance motors.
The stepper motor uses the theory of
operation for magnets to make the motor shaft turn a precise distance when a
pulse of electricity is provided. The stator has eight poles, and the rotor has
six poles. The rotor will require 24 pulses of electricity to move the 24 steps
to make one complete revolution. Another way to say this is that the rotor will
move precisely 15° for each pulse of electricity that the motor receives.
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Let’s
talk about MEMORY !!!!
Memory
Hierarchy
A memory unit is the collection
of storage units or devices together. The memory unit stores the binary
information in the form of bits. Generally, memory/storage is classified into 2
categories:
●
Volatile
Memory: This loses its data, when power is switched off.
●
Non-Volatile
Memory: This is a permanent storage and does not lose any data
when power is switched off.
The total memory capacity of a computer can be visualized by hierarchy of components. The memory hierarchy system consists of all storage devices contained in a computer system from the slow Auxiliary Memory to fast Main Memory and to smaller Cache memory.
Auxillary
memory access time is generally 1000 times that of the main memory, hence it is at the bottom of
the hierarchy.
The main memory occupies the central position because it is equipped to communicate directly with the CPU and with auxiliary memory devices through Input/output processor (I/O).
When the program not residing in main memory is needed by the CPU, they are brought in from auxiliary memory.
Programs not currently needed in main memory are transferred into auxiliary memory to provide space in main memory for other programs that are currently in use.
The cache memory is used to store program data which is currently being executed in the CPU. Approximate access time ratio between cache memory and main memory is about 1 to 7~10
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According to
Classical mechanics, a moving particle at any instant has fixed position in
space and definite momentum which can be determined simultaneously with any
desired accuracy. This assumption is true for objects of appreciable size, but
fails in particles of atomic dimensions.
· Since a moving atomic particle has to be regarded as a de-Broglie wave group, there is a limit to measure particle properties.
·
If
the group is considered to be narrow, it is easier to locate its position, but
the uncertainty in calculating its velocity and momentum increases.
·
If
the group is wide, its momentum is estimated easily, but there is great
uncertainty about the exact location of the particle.
Heisenberg a
German scientist in 1927, gave uncertainty principle which states that “The
determination of exact position and momentum of a moving particle
simultaneously is impossible’’.
In
general, if △x
represents the error in measurement of position of particle along x-axis, and △p represents error in measurement of
momentum, then
△x. △p = h
Or limitation to
find the position and momentum of a particle is
(△x).(△p) ≥ h/4π
i.e. Heisenberg
uncertainty principle states that both the position and momentum cannot be measured simultaneously with perfect
accuracy.
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