Question

The Laplace transform proves to be a highly valuable tool in electronic circuits analysis.

write 2 pages to states why it is valuable tool?

please remember to write the references whether are books or web sites

Answer 1

The Laplace transform is a widely used integral transform with many applications in physics and engineering. It will help you to solve Differential Equation of higher order which is the most widely used application of Laplace transform.Also evaluating integral,boundary value problems,circuit solving etc,Like the Fourier transform, the Laplace transform is used for solving differential and integral equations. In physics and engineering, it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems also used in signal processing to access the frequency spectrum of the signal in consideration

Circuits with any number and type of DC sources and any number of resistors. First-order (RL and RC) circuits with no source and with a DC source. Second-order (series and parallel RLC) circuits with no source and with a DC source. Circuits with sinusoidal sources and any number of resistors, inductors, capacitors (and a transformer or op amp), but can generate only the steady-state response.•Circuits with any type of source (so long as the function describing the source has a Laplace transform), resistors, inductors, capacitors, transformers, and/or op amps; the Laplace methods produce the complete response.

Leakage Flux Effect on a Long Time-Constant of Transient Eddy Current in a Solid Magnet

The magnet gap length has been considered to effectively shorten due to leakage of magnetic flux in electromagnet which dominates magnetic flux density strength in an iron core.

Transient Expression for both space and time has been generated by using two-dimensional simultaneous Laplace Transformations Problem worked on: By introducing magnetic flux leakage transient eddy current is explained.

Prediction of Time constant is comparable to the observation which depends on final field level due to Hysteresis characteristics when the leakage flux ratio becomes large for a large permeability.

A Novel Envelope Response Technique for Large Signal Dynamic Analysis of Resonant Converters  

Using orthogonal functions, a novel technique has been proposed to analyze the large signal transitions in resonant converters.

Laplace Transformation and its properties are applied on complex circuit which is obtained by combining two circuits into one to derive envelope response.The large signal dynamic response in S domain as well as time domain is very conveniently derived by the construction of complex circuits. Then by using Laplace Transformation and its properties, required results are obtained.

Stochastic Analysis of a Standby System with Waiting Repair Strategy

When the main unit fails, transfer of whole load to standby unit has achieved instantaneously by switching over device. On failure of both main and standby units, goes to complete failure mode. Main and standby units on repair follow general distribution, whereas human error repair can obtained by Gumbel-Houguard family copula. Problem worked on: To investigate the reliability of a standby system incorporation waiting time to repair.

above considerations and also somany applications of laplace transform in electronic circuit analysis thas's why it's considered as valuable tool.