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The book is not merely a re-statement of some parts of A Treatise on Electricity and Magnetism.Maxwell notes that. In the larger treatise I sometimes made use of methods which I do not think the best in themselves, but without which the student cannot follow the investigations of the founders of the Mathematical Theory of Electricity.
The current entering any junction is equal to the current leaving that junction. i 2 + i 3 = i 1 + i 4. This law, also called Kirchhoff's first law, or Kirchhoff's junction rule, states that, for any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node; or equivalently:
Ohm's Law chapter from Lessons In Electric Circuits Vol 1 DC book and series. John C. Shedd and Mayo D. Hershey, "The History of Ohm's Law" , Popular Science , December 1913, pp. 599–614, Bonnier Corporation ISSN 0161-7370 , gives the history of Ohm's investigations, prior work, Ohm's false equation in the first paper, illustration of Ohm's ...
Andrew Warwick (2003): "In developing the mathematical theory of electricity and magnetism in the Treatise, Maxwell made a number of errors, and for students with only a tenuous grasp of the physical concepts of basic electromagnetic theory and the specific techniques to solve some problems, it was extremely difficult to discriminate between ...
the total electric charge density (total charge per unit volume), ρ, and; the total electric current density (total current per unit area), J. The universal constants appearing in the equations (the first two ones explicitly only in the SI formulation) are: the permittivity of free space, ε 0, and; the permeability of free space, μ 0, and
Electric power is the rate at which electric energy is transferred by an electric circuit. The SI unit of power is the watt, one joule per second. Electric power, like mechanical power, is the rate of doing work, measured in watts, and represented by the letter P. The term wattage is used colloquially to mean "electric power in watts."
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In addition to the mentioned classic books, in recent years there have been a few well-received electromagnetic textbooks published for graduate studies in physics, with one of the most notable being Modern Electrodynamics by Andrew Zangwill published in 2013, which has been praised by many physicists like John Joannopoulos, Michael Berry, Rob ...