Abstract
The Laplace transform is a pivotal mathematical tool widely used in electrical engineering for system analysis, control design, and signal processing. This article reviews the key applications of Laplace transforms in modeling and analyzing linear time-invariant (LTI) systems, solving differential equations, transient and steady-state circuit analysis, and control system stability evaluation. Through illustrative examples and graphical representations, this study highlights how Laplace transforms simplify complex circuit and system problems, facilitating both theoretical insights and practical engineering solutions. The article concludes with an overview of its advantages and implications in modern electrical engineering applications.
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