The large signal step response of a junction capacitor has been analyzed. Both abrupt and graded junctions have been considered. The analysis covers the charging and discharging of such capacitors through a linear resistance and through a battery. Expressions for the various responses have been derived. The results show that the charging and discharging waveforms are quite different as compared with the simple exponential rise and decay of linear capacitor. The analysis is utilized to study the operation of a cross-coupled multivibrator.
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Hongchin Lin (1962) studied this question.
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