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### Analysis of Harmonics due to nonlinear core at no load | Electrical Machines | GATE Preparation | EE

Real Life Application The application of magnetizing curve of non-linear core in transformers is very important in the design of the transformer connection, wherever a transformer is to be installed. The induced emf, the load current, the source current, the magnetic flux waveforms depend on the type of connection in the transformer. For example: 1

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### Analytic Function and Concept of Residue | Engineering Mathematics | GATE Preparation | ME

Real Life Application This is an extremely useful and beautiful part of mathematics and forms the basis of many techniques employed in many branches of mathematics and physics. In fact, to a large extent complex analysis is the study of analytic functions. Explanation The function f(z) which is single valued is analytic in a domain

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### Important Properties of convolution | Signals and Systems | GATE Preparation | ME

Application Concept of convolution has wide ranging applications such as its usage in digital image processing for the purpose of filtering, improving certain features of images and many other signal processing applications. Explanation Convolution is a mathematical operator which relates input and output of an LTI system. It is only with the help of convolution

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### Analysis of Auto transformer | Electrical Machines | GATE Preparation | EE

Real Life Application Autotransformers are frequently used in power applications to interconnect systems operating at different voltage classes, for example 132 kV to 66 kV for transmission. Another application in industry is to adapt machinery built (for example) for 480 V supplies to operate on a 600 V supply. They are also often used for

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### Phasor Connection of Three Phase Transformers | Electrical Machine | GATE Preparation | EE

Real Life Application The application of Phasor connection of Three Phase transformers is very important in the transmission and distribution of Power. It is the three phase system which has been adopted world over to generate, transmit and distribute electrical power. Therefore to change the level of voltages in the system three phase transformers should

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### Transformation on Independent Variables | Signals & Systems | GATE Preparation | EC

Real Life Application This concept finds application in data transmission and reception in TV signals, internet and various signal processing applications. Ultra slow motion is one application area of time scaling operation. Explanation Transformation on Independent Variable (time) is a very important concept in Signals and Systems. It finds its application in Convolution, Periodic signals,

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### Special Matrices | Engineering Mathematics | GATE Preparation | ME

Application Special matrices based on symmetry find their application in mathematical analysis. Eigen Values and Eigen vectors of special matrices display some important properties. Explanation To understand this concept, knowledge of matrix representation and transpose is required. Symmetric Matrix: Transpose of a square matrix is equal to matrix itself. Skew Symmetric Matrix: Transpose of a

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### Two Port Network | Network Theory | GATE Preparation | EC

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### Network Theory Resonance | Nodal and Mesh Analysis | GATE Preparation | EC

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### Shear Force and Bending Moment Diagram

Real Life Application The failure of the beams real life applications depend on the value of the shear force and bending moment. Explanation SFD and BMD are the induced values of the shear force and bending moment induced on the beam along the length. A particular sign convention must be followed to distinguish between positive

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