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Note for Signal and Systems - ss By Marcus Crassus

  • Signal and Systems - ss
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Marcus Crassus
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Contents Manual for K-Notes ................................................................................. 2 Network Elements .................................................................................. 3 Graph Theory .......................................................................................... 9 Circuit Theorems ................................................................................... 11 Transient Analysis ................................................................................. 15 Sinusoidal steady state analysis ............................................................ 19 Resonance............................................................................................. 23 Circuits analysis in Laplace domain ....................................................... 25 Two Port Network ................................................................................. 26 Magnetically coupled circuits................................................................ 29 Three Phase Circuits.............................................................................. 31 Electrical & magnetic fields ................................................................... 33 © 2014 Kreatryx. All Rights Reserved. 1

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Manual for K-Notes Why K-Notes? Towards the end of preparation, a student has lost the time to revise all the chapters from his / her class notes / standard text books. This is the reason why K-Notes is specifically intended for Quick Revision and should not be considered as comprehensive study material. What are K-Notes? A 40 page or less notebook for each subject which contains all concepts covered in GATE Curriculum in a concise manner to aid a student in final stages of his/her preparation. It is highly useful for both the students as well as working professionals who are preparing for GATE as it comes handy while traveling long distances. When do I start using K-Notes? It is highly recommended to use K-Notes in the last 2 months before GATE Exam (November end onwards). How do I use K-Notes? Once you finish the entire K-Notes for a particular subject, you should practice the respective Subject Test / Mixed Question Bag containing questions from all the Chapters to make best use of it. © 2014 Kreatryx. All Rights Reserved. 2

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Network Elements Active & Passive Elements If any elements absorb, dissipate, waste, convert electrical energy it is called as passive element. Eg. Resistor, Inductor, Capacitor. If any elements energize, deliver, give out, drive the electrical energy it is called as active element. Eg. BJT, MOSFET. Network Technologies Node : It is a point of interconnection or junction between two or more components. Branch : It is an elemental connection between two nodes. Mesh: A mesh is a close path which should not have any further closed path in it. Loop : All possible close path. Ohm’s law At constant temperature and for uniform cross section of conductor. J  E σ= conductivity,  1  resistivity .  V  IR l R A l  lenght of conductor Circuit Symbol: A = Area of conductor. Conductance of circuit elements is G 1 R Sign Convention To apply ohm’s law, we must apply following sign convention. 3

Lecture Notes