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The study of the transient regime in electric circuits with Excel spreadsheets

机译:用Excel电子表格研究电路中的瞬态状态

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This paper focuses on the use of Excel spreadsheets in the study of thetransient regime in electric circuits. Two relevant didactic tools, which have beencreated with the help of spreadsheets, are presented for the study of the transientregime in a circuit with resistance and capacitance connected in series. With the aid ofthe first tool we can simulate the charging and discharging of a capacitor. Bychanging the input data we can easily track how the charging and, respectively, thedischarging curves change for the electric charge of the capacitor, the voltage acrossthe capacitor and the current through the circuit. The significance of the time constantfor the RC circuit is emphasized in graphs. The energetic characterization of thetransient regime is done through a graph presenting the energy variation in time, fromthe capacitor, and the energy dissipated in the resistor. For a comparative analysis agraph is drawn, overlaying the curves of the time dependence in case of the capacitorvoltage from three different RC circuits. The second tool has been conceived toprocess the data in the didactic experiment to study the process of discharging of acapacitor on a resistor. The voltage on the capacitor terminals measured during thedischarging process is compared to the voltage calculated with the exponentialvariation law of the process. From the discharging curve we can determine thecapacitance of the capacitor and, thus, certain experimental results are presented. Thetwo previously described tools prove the facilities offered by spreadsheets inconceiving interactive Physics lessons. On the one hand, the possibility to simulatesome physical phenomena is highlighted; on the other hand, it is shown thatspreadsheets can be successfully used in the processing of experimental data.
机译:本文重点介绍Excel电子表格在电路瞬态研究中的应用。提出了两个相关的教学工具,这些工具是通过电子表格创建的,用于研究电阻和电容串联的电路中的瞬态状态。借助第一个工具,我们可以模拟电容器的充电和放电。通过更改输入数据,我们可以轻松地跟踪电容器的电荷,电容器两端的电压以及通过电路的电流如何分别改变充电曲线和放电曲线。图中强调了RC电路时间常数的重要性。瞬态状态的能量表征是通过一个图表来完成的,该图表显示了来自电容器的能量随时间的变化,以及电阻中耗散的能量。为了进行比较分析,绘制了一张曲线图,覆盖了来自三个不同RC电路的电容器电压情况下的时间依赖性曲线。已经设计出第二种工具来处理教学实验中的数据,以研究电容器在电阻器上的放电过程。将在放电过程中测得的电容器端子上的电压与通过该过程的指数变化定律计算出的电压进行比较。从放电曲线我们可以确定电容器的电容,因此,给出了某些实验结果。前面描述的两个工具证明了电子表格提供的概念,可以理解交互式物理课程。一方面,强调了模拟某些物理现象的可能性。另一方面,表明电子表格可以成功地用于处理实验数据。

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