Kholmetskii, Alexander L.Missevitch, Oleg V.Yarman, TolgaEnerji Sistemleri Mühendisliği / Energy Systems Engineering2024-05-252024-05-25200820143-08071361-640410.1088/0143-0807/29/3/N012-s2.0-43049114605https://doi.org/10.1088/0143-0807/29/3/N01https://hdl.handle.net/20.500.14517/649Yarman, Tolga/0000-0003-3209-2264We generalize the approach developed by us for the evaluation of the total time derivative of circular integral (Kholmetskii A L et al 2008 Eur. J. Phys. 29 L1-4) and derive an explicit expression for the total time derivative of the area integral for a differentiable vector field. On the basis of this expression, we prove for the first time that Faraday's law can be directly obtained from the Maxwell equations del x E = -delta B/delta t, del center dot B = 0 and the Lorentz force law.eninfo:eu-repo/semantics/closedAccess[No Keyword Available]ArticleQ4Q3293N5N10WOS:000255417400026