Recently, the micro-master utilized Phyphox and ESP32 Bluetooth to explore the relationship between capacitor voltage and charge, achieving quite ideal results.
Early Research
Axuan Teaching Research Room
“Division Method” experiment introducing the concept of capacitance
Maker Jiaozuo
Using the half-division method to explore the relationship between capacitor voltage and charge
Essentially, it involves first charging a capacitor A, then using the ESP32 to measure the voltage across the capacitor and sending it via Bluetooth to the Phyphox app on a smartphone.
In this experiment, another capacitor B of the same specification was completely discharged, then connected in parallel with capacitor A to share half of the charge. The voltage jump can be observed in the voltage graph produced by Phyphox.
In this way, the process is repeated, using the half-division method to gradually split the charge in capacitor A, thus establishing the data relationship between capacitor voltage and charge.
After the experiment, the screen of the smartphone displayed a stepwise decreasing graph of the voltage in capacitor A.
By expanding the voltage graph to full screen, the voltage values at each jump can be selected and recorded in an electronic spreadsheet along with the corresponding charge values to create a scatter plot and fit a curve, resulting in a graph showing the relationship between the voltage across the capacitor and the charge.
This experiment revealed that the voltage across the capacitor is directly proportional to the amount of charge stored within the capacitor.
Compared to previous experiments conducted using digital voltmeters, this experiment allows students to observe the entire process of voltage jumps during the half-division of charge. The voltage data throughout the experiment can be read in one go, and the reduction of charge in the capacitor corresponds to the voltage curve jumps, making it visually intuitive.
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