- 期刊
以Maxwell電磁動量模型的重塑認識其感應電動勢理論的建立過程
The Processing Knowing of the Theory of Inducing Emf from the Hands-on Workings of the Maxwell Electromagnetic Momentum Model
摘要
Maxwell在1864年到1865年間發表第三篇關於電磁場理論的論文，文中將Faraday的電緊張狀態以電磁動量的力學形式類比，並藉由電磁動量變化產生感應電動勢的力學機制，讓磁通量變化產生感應電動勢的數學形式說明更加容易理解；1874年Maxwell再以帶有慣量的差速齒輪傳動過程敘述電磁動量如何讓主要線圈的電流變化轉換為次要線圈的感應電動勢；在此，我模仿Faraday製作一感應電流產生模型及模擬Maxwell敘述完成一個具有大的轉動慣量差速齒輪模型，力學模型讓感應電動勢隨著電磁動量變化的數學型式說明更加具體簡明。文中，我們更可以體會Maxwell在長達二十年的時間裡，讓抽象科學現象與數學理論進入感官體驗的努力過程。
並列摘要
Maxwell published the third paper on the theory of electromagnetic field between 1864 and 1865. In this paper, Faraday's tension of electricity is analogous to the mechanical form of electromagnetic momentum, and the mathematical form of the emf generated by the change of electromagnetic flux is more easily to be understood by the mechanism of the variation of the electromagnetic momentum; In 1874, Maxwell designed an electromagnetic momentum mechanical model similar to the differential gears but with a variable inertia moment to describe how the electromagnetic field from the main coil converts to the secondary coil and induces emf. I imitate an inducing current generation model that Faraday ever made and simulate a mechanical model of electromagnetic momentum as the Maxwell's narration. These models make the mathematical description of the inducing emf more concisely and easily known. In this paper, we can also experience the effort processing by Maxwell in twenty years to make the abstract physical phenomena and mathematical theory into the sensation of experience.