To the Whiteboard! - Energy of a Plate Capacitor and Legendre Transformation скачать в хорошем качестве

To the Whiteboard! - Energy of a Plate Capacitor and Legendre Transformation

In this video, I discuss a "paradox" of electrostatics that seemingly appears if one attempts to obtain the force exerted between the plates of a parallel plate capacitor by using the formula for the stored electrostatic energy under two different experimental conditions: constant charge or constant potential. In the latter case, an incorrect result ensues. We look at a possible resolution from the viewpoint of Legendre transformations and provide an interpretation for the initial mistake we made. This point is also discussed by Richard Feynman in section 8-2 here https://www.feynmanlectures.caltech.e... TIMESTAMPS: 00:00 introduction 01:06 Reminder of electrostatics of plate capacitor 06:03 Force from the energy under different constraints 08:00 The paradoxical case 09:06 Legendre transformation resolution 15:04 Discussion and interpretation