Question 3772 - GATE Electrical Engineering

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Q#1 Calculus GATE EE 2018 NAT +2 marks -0 marks

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As shown in the figure, C is the arc from the point (3, 0) to the point (0, 3) on the circle. The value of the integral is ________ (up to 2 decimal places).

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Network Analysis

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Network Basics

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Network Theorems (DC Circuits)

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Transient Analysis

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Initial and Final Conditions	0	Browse
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Sinusoidal Steady State Analysis

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Phasor Analysis	0	Browse
Maximum Power Transfer Theorem - AC Circuits	0	Browse
Other Theorems - AC Circuits	0	Browse
Power in AC Circuits	0	Browse
Miscellaneous	0	Browse
Resonance	0	Browse
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Two Port Network

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Graph Theory

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Three Phase Circuits

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Signals and Systems

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Signals

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Periodic and other Signals	0	Browse
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LTI Systems

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Fourier Series

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Fourier Transform

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Laplace Transform

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Z Transform

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Sampling

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Control Systems

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Transfer Function

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Transfer Function	0	Browse
Block Diagram	0	Browse
Signal Flow Graph	0	Browse
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Time Response Analysis

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Root Locus Technique

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Frequency Domain Analysis

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State Variable Analysis

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Diode and Its Applications

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BJT

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JFET

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MOSFET

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Single stage MOSFET Amplifier	0	Browse
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Amplifiers

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OP-AMP and its Applications

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Oscillators

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Digital Electronics

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Number Systems

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Boolean Algebra

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Adders and Subtractors	0	Browse
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State Machine	0	Browse
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Microprocessor

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Computer Organisation

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Electrical Machines

390

Transformers

109

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Construction of Transformer	0	Browse
Induced EMF - Transformer	0	Browse
Equivalent Circuit - Transformer	0	Browse
Testing of a Transformer	0	Browse
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Three Phase Transformer	0	Browse
Auto Transformer	0	Browse
Parallel Operation - Transformer	0	Browse
Harmonics in Transformer	0	Browse
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EMF and Torque Equation	0	Browse
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Characteristics of DC machines	0	Browse
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Cascading of Machines	0	Browse
Contruction and Physical Phenomenon	0	Browse
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Induction Machines

110

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Equivalent Circuit - Induction Machines	0	Browse
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Starting of Induction Motor	0	Browse
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Stability of Induction Motor	0	Browse
Singe Phase Induction Motor	0	Browse
Stepper Motor	0	Browse
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Special Machines

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Power Electronics

237

Power Semiconductor Devices

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Dual Converter	0	Browse
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Chopper

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Boost Converter	0	Browse
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Economic Power Generation	0	Browse
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Transmission and Distribution

139

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Transmission Line Parameters (L and C)	0	Browse
Short and Medium Transmission Line	0	Browse
Wave Nature of Long Transmission Line	0	Browse
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Corona	0	Browse
Distribution Systems	0	Browse
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Symmetrical Components	0	Browse
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Unsymmetrical Fault Analysis	0	Browse
Zbus Based Fault Analysis	0	Browse
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Load Flow Analysis

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Circuit Breakers	0	Browse
Overcurrent Protection	0	Browse
Protection of Alternator	0	Browse
Protection of Transformer	0	Browse
Protection of Transmission Line	0	Browse
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EMFT EE

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PMMC Instruments	0	Browse
Moving Iron Instruments	0	Browse
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Other Instruments	0	Browse
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Measurement of Force	0	Browse
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Measurement of Temperature	0	Browse
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Differential Calculus	0	Browse
Integral Calculus	0	Browse
Vector Calculus	0	Browse
Topic-wide	63	Browse

Differential Equations

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First Order Differential Equations	0	Browse
Higher Order Differential Equations	0	Browse
Topic-wide	18	Browse

Complex Functions

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Analytic Functions (Cauchy Riemann Equations) and compex numbers	0	Browse
Complex Integral	0	Browse
Topic-wide	23	Browse

Probability and Statistics

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Probability	0	Browse
Statistics	0	Browse
Random Variable	0	Browse
Topic-wide	32	Browse

Numerical Methods

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Solution of Non-Linear Equation	0	Browse
Numerical Integration	0	Browse
Numerical Solution of Differential Equations	0	Browse
Topic-wide	15	Browse

Transform Theory

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Laplace Transform	0	Browse
Fourier Transform	0	Browse
Z-Transform	0	Browse
Topic-wide	6	Browse

General Aptitude

206

Numerical Ability

116

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Analytical Reasoning	0	Browse
Logical Reasoning	0	Browse
Progressions	0	Browse
Numbers	0	Browse
Clocks and Time Sequence	0	Browse
LCM and HCF, Factors and Remainders	0	Browse
Simple and Compound Interest	0	Browse
Venn Diagrams	0	Browse
Direction Sense	0	Browse
Arithmetic Reasoning	0	Browse
Insert Missing Character	0	Browse
Ratio and Proportion	0	Browse
Percentage, Profit, Loss and Partnerships	0	Browse
Stocks and Shares	0	Browse
Average, Mixtures and Allegations	0	Browse
Geometry and Mensuration	0	Browse
Ages	0	Browse
Time and Work	0	Browse
Pipes and Cisterns	0	Browse
Time and Distance	0	Browse
Data Interpretation	0	Browse
Analytical Figures	0	Browse
Blood Relations	0	Browse
Coding and Decoding	0	Browse
Cube and Dice	0	Browse
Ranking	0	Browse
Speed and Relative Speed	0	Browse
Logarithms	0	Browse
Involution and Evolution	0	Browse
Probability	0	Browse
Permutation and Combinations	0	Browse
Quadratic Equations	0	Browse
Miscellaneous - Numerical Ability	0	Browse
Topic-wide	116	Browse

Verbal Ability

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Grammar	0	Browse
Spotting Errors	0	Browse
Objective Comprehension	0	Browse
Sentence Completion	0	Browse
Sentence Improvement	0	Browse
Analogy	0	Browse
Ordering of Sentences	0	Browse
Vocabulary	0	Browse
Critical Reasoning	0	Browse
Miscellaneous - Verbal Ability	0	Browse
Topic-wide	90	Browse