%0 Journal Article %1 kaufman1964response %A Kaufman, H. %A Roberts, G. E. %D 1964 %J Journal of Electronics and Control %K 78a55-optics-electromagnetic-theory-technical-applications 94c05-analytic-circuit-theory %N 4 %P 361-375 %R 10.1080/00207216408937711 %T Step response of non-linear RC circuits %U https://www.tandfonline.com/doi/abs/10.1080/00207216408937711 %V 17 %X Basic formulae are derived for the step response of a series RC circuit in which both the resistance and capacitance are non-linear. The initial condenser voltage is assumed arbitrary, and a careful distinction is made between the charging and discharging cases. A detailed treatment is given for the case where the resistance and capacitance are described by power law functions. Recursion formulae are presented which simplify the computation of the capacitor-voltage versus time relations. Graphs of the latter relations are given for the cases of a linear capacitor, an abrupt junction diode, and a graded junction diode. The results extend the relations given by Schulz and Lin.

@article{kaufman1964response, abstract = {Basic formulae are derived for the step response of a series RC circuit in which both the resistance and capacitance are non-linear. The initial condenser voltage is assumed arbitrary, and a careful distinction is made between the charging and discharging cases. A detailed treatment is given for the case where the resistance and capacitance are described by power law functions. Recursion formulae are presented which simplify the computation of the capacitor-voltage versus time relations. Graphs of the latter relations are given for the cases of a linear capacitor, an abrupt junction diode, and a graded junction diode. The results extend the relations given by Schulz and Lin.}, added-at = {2023-09-06T02:16:06.000+0200}, author = {Kaufman, H. and Roberts, G. E.}, biburl = {https://www.bibsonomy.org/bibtex/26dd41b9c532babd3f84e25ad99819b6e/gdmcbain}, doi = {10.1080/00207216408937711}, interhash = {92f175c0141e740327468a763c477698}, intrahash = {6dd41b9c532babd3f84e25ad99819b6e}, journal = {Journal of Electronics and Control}, keywords = {78a55-optics-electromagnetic-theory-technical-applications 94c05-analytic-circuit-theory}, month = feb, number = 4, pages = {361-375}, timestamp = {2023-09-06T02:39:27.000+0200}, title = {Step response of non-linear {RC} circuits}, url = {https://www.tandfonline.com/doi/abs/10.1080/00207216408937711}, volume = 17, year = 1964 }