Abstract
The Laplace transform is a linear operation that can be performed on functions of a single variable. For electronics, the transformation is taken from the time domain (the single variable is t) to the “s-domain” where s is a generalized complex frequency. The transform is useful for solving systems of linear differential equations such as those found for some electronic circuits. An understanding of the transform can lead to a description of circuit behavior expressed in terms of poles and zeros in the s-domain.
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Notes
- 1.
The Laplace Transform is named after the French mathematician Pierre Simon, Marquis de Laplace, (1749–1827), who is credited with its development as well as with many other discoveries in mathematics, physics, and astronomy.
- 2.
“C” is skipped here so that there is no confusion with any capacitance values.
- 3.
As was the case for complex phase angles, the arctangent must be used with care.
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Suits, B.H. (2023). The Laplace Transform. In: Electronics for Physicists. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-031-36364-1_5
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DOI: https://doi.org/10.1007/978-3-031-36364-1_5
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Online ISBN: 978-3-031-36364-1
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