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Digital Electronics Articles
Page 3 of 46
Properties of Convolution in Signals and Systems
ConvolutionConvolution is a mathematical tool for combining two signals to produce a third signal. In other words, the convolution can be defined as a mathematical operation that is used to express the relation between input and output an LTI system.Consider two signals $\mathit{x_{\mathrm{1}}\left( t\right )}$ and $\mathit{x_{\mathrm{2}}\left( t\right )}$. Then, the convolution of these two signals is defined as$$\mathrm{ \mathit{\mathit{y\left(t\right)=x_{\mathrm{1}}\left({t}\right)*x_{\mathrm{2}}\left({t}\right)\mathrm{=}\int_{-\infty }^{\infty }x_{\mathrm{1}}\left(\tau\right)x_{\mathrm{2}}\left(t-\tau\right)\:d\tau=\int_{-\infty }^{\infty }x_{\mathrm{2}}\left(\tau \right)x_{\mathrm{1}}\left(t-\tau\right)\:d\tau }}}$$Properties of ConvolutionContinuous-time convolution has basic and important properties, which are as follows −Commutative Property of Convolution − The commutative property of convolution states that the order in which we convolve two signals does not ...
Read MoreDifference between Leading and Lagging Power Factor
In electrical engineering, the power factor of an AC system is the expression of energy efficiency. The power factor (PF) is defined as the ratio of active power (measured in Watts) to the apparent power (measured in VA). The power factor expresses the ratio of true power which is used in an AC circuit to the total power delivered to the circuit. Mathematically, the power factor can be expressed using the following formula − $$\mathrm{Power \: factor \, \mathrm{=}\, \frac{Active \: power}{Apparent \: power}}$$ There are two major terms are associated with the power factor of an AC circuit viz. ...
Read MoreSilicon Controlled Rectifier – Working Principle and Applications
An SCR is a three-terminal, three-junction, and four-layer semiconductor device that is used to perform switching functions in power circuits.Sometimes the SCR is also called as Thyristor.Constructional Details of SCRThe SCR has three pn – junctions, and four layer of p and n type semiconductor joined alternatively to get pnpn device. The three terminals are taken – one from outer p – type layer called anode (A), second from the outer n – type layer called cathode (K) and the third from the internal p –type layer called gate (G).Working of SCRIn a SCR, the load is connected in series ...
Read MoreDifference between Synchronous Motor and Induction Motor
A motor in general is an electrical machine that converts electrical energy into mechanical energy. Electric motors can either be DC Motors or AC Motors, depending on the type of power supply that is supplied as its input.AC motors are further classified into two types−Asynchronous or Induction MotorSynchronous MotorA synchronous motor always runs at synchronous speed, while an induction motor runs at a speed less than the synchronous speed.Read through this article to find out more about synchronous motors and induction motors and how they are different from each other.What is a Synchronous Motor?A synchronous motor is a type of ...
Read MoreTesting of Transformer | Type Tests, Routine Tests and Special Tests of Transformer
An electrical transformer is tested at the transformer manufacturer premises and at the consumer’s site and also periodically in regular and emergency basis during its service life to confirm its specifications and performance.Types of Transformer TestsTests of transformer done at the manufacturer’s premises −Type testsRoutine testsSpecial testsTests of transformer done at the consumer’s site −Pre-commissioning testsPeriodic testsEmergency testsType Tests of TransformerThe type tests of a transformer are performed at the manufacturer’s premises to prove the design expectations and consumer’s specifications. The type tests are performed in a prototype unit, not in all manufactured units and these tests confirm the basic ...
Read MoreDifference between Series Resonance and Parallel Resonance
In an AC electric circuit, when the capacitive reactance is balanced by the inductive reactance at some given frequency, then this condition in the circuit is referred as resonance. The frequency of the supply voltage at which resonance occurs in the circuit is called resonant frequency. At the resonance in the circuit, the reactance of the capacitor and inductor cancel each other. Also, at the condition of resonance, no reactive power is taken from the source.Based on the arrangement of capacitor and inductor in the electric circuit, the resonance is divided in two types viz. −Series resonanceParallel resonanceIn this article, we ...
Read MoreCooling Methods of a Transformer
When the transformer is in operation, heat is generated due to copper losses in the windings and iron losses in the core. The removal of heat from the transformer is known as cooling of the transformer.Transformer Cooling MethodsFor the dry type transformersAir Natural (AN) CoolingAir Forced (AF) or Air Blast (AB) CoolingFor oil immersed type transformersOil Natural Air Natural (ONAN) CoolingOil Natural Air Forced (ONAF) CoolingOil Forced Air Forced (OFAF) CoolingOil Forced Water Forced (OFWF) CoolingAir Natural (AN) CoolingThe air natural (AN) cooling is used in dry type, self-cooled transformers. In this method, the natural circulation of surrounding air is ...
Read MoreDouble Revolving Field Theory of Single-Phase Induction Motors
Operating Principle of Single-phase Induction MotorA single-phase induction motor consists of a squirrel cage rotor and a stator carrying a single-phase winding. When a single-phase AC supply is fed to the stator winding, a pulsating magnetic field (not the rotating) is produced. Under these conditions, the rotor does not rotate due to inertia. Hence, a single-phase induction motor is inherently not self-starting, but requires some auxiliary starting means.If the stator winding of a single-phase induction motor is excited and the rotor is rotated by an auxiliary means and the starting device is then removed, the motor continues to rotate in ...
Read MoreDifference between Inverting and Non-Inverting Amplifier
In electronic circuits, we use an electronic device called operational amplifier (Op-Amp). The operational amplifier is a high-gain multistage differential amplifier. It has two inputs and one output, where the input terminals are named as inverting terminal and non-inverting terminal. The inverting terminal of the Op-Amp is marked with positive (+) polarity, whereas the noninverting represents the negative (-) polarity terminal. Depending on the circuit configuration, the operational amplifier is classified into two types namely, Inverting Amplifier Non-Inverting Amplifier This article is meant for explaining the differences between an inverting amplifier and a noninverting amplifier. But before that, ...
Read MoreDifference between Core Type and Shell Type Transformer
A transformer is a static electrical machine that is used to increase or decrease the voltage and current in an AC (Alternating Current) system. Based on construction, the transformers are broadly classified into following two types Core Type Transformer Shell Type Transformer In this tutorial, we will highlight all the major differences between a core type transformer and a shell type transformer. But before discussing the differences, let's understand the basics of core type and shell type transformer, so that it becomes easier to understand the differences between them. What is a Core Type Transformer? In the ...
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