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• W3196963374 abstract "The circuit formed by a diode with series resistance is a basic electronic circuit whose analytical solution of the electrical current requires the usage of the Lambert <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${W}$ </tex-math></inline-formula> function. However, in circuits where the current-voltage relation follows a power-law, like in an RCD (resistor-capacitor-diode) circuit in the continuous-time domain, the Lambert function is not useful. The power-law behavior also appears in some nanostructures like in the Mark-Helfrich equation for the space charge limited current in nanowires. In this work, we provide analytical solutions for both cases using the recently proposed Lambert-Tsallis <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${W} _{q}$ </tex-math></inline-formula> function, showing that the <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${W} _{q}$ </tex-math></inline-formula> function is a useful mathematical tool for finding analytical solutions of electronic circuit equations where the current-voltage characteristics follows a power-law." @default.
• W3196963374 created "2021-09-13" @default.
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• W3196963374 date "2022-03-01" @default.
• W3196963374 modified "2023-10-04" @default.
• W3196963374 title "Analytical Solution of the Current-Voltage Characteristics of Circuits With Power-Law Dependence of the Current on the Applied Voltage Using the Lambert-Tsallis <i>W</i> _<i>q</i> Function" @default.
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• W3196963374 doi "https://doi.org/10.1109/tcsii.2021.3110407" @default.
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