Purpose

This paper aims to analyze transient and steady state processes in series resistive capacitive-circuits when the supplied voltage is a sequence of periodic rectangular pulses. The purpose is to obtain an analytical formula for the capacitor voltage at any instant of time, both for the transient and the steady-state processes.

Design/methodology/approach

The main approach is to use a combination of differential and recurrence equations.

Findings

An analytical expression (formula) for obtaining the capacitor voltage at any instant of time has been found.

Originality/value

The results obtained are new. They are much more convenient to use than the results obtained by the Fourier series. The exposed approach can also be used in other circuits and other forms of the supplied voltage.

中文翻译：

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由脉冲序列供电的电路分析

目的

本文旨在分析当供电电压是一系列周期性矩形脉冲时串联电阻电容电路中的瞬态和稳态过程。目的是为瞬态过程和稳态过程获得任何时刻电容器电压的分析公式。

设计/方法/方法

主要方法是结合使用微分方程和递推方程。

发现

已经找到了用于获得任何时刻的电容器电压的解析表达式（公式）。

原创性/价值

获得的结果是新的。它们比傅立叶级数获得的结果使用起来方便得多。暴露方法也可用于其他电路和其他形式的供电电压。