The transformations of electric and magnetic fields are usually introduced by viewing systems such as a long, straight current-carrying wire and a parallel plate capacitor in two different reference frames. These well-known examples show that magnetism is a necessary consequence of augmenting electrostatics with relativity. Because they require…

The question of whether Faraday's flux law is universal or whether there are exceptions has long been controversial. This discussion seemed to have recently concluded in favor of the generality of Faraday's Flux Law. The present article raises this question again with the aid of some rather simple measurements carried out on a Faraday generator.…

The CERN Beamline for Schools Competition gives high school students the opportunity to perform an experiment of their design using the T9 facility. Our team, 'Relatively Special', was fortunate enough to be joint winners of this global event and travel to CERN for a unique adventure. This paper gives an account of our story including the…

Electromagnetic induction, represented by either Faraday's law or the Lorentz force law, produces many paradoxes requiring careful examination and application of these laws. The paradoxical example of induction, presented herein, arose in a class and is resolved within the framework of special relativity.

Challenges to the value of active civic engagement are an increasingly common phenomenon in introductory American government courses as there is a rise in populist sentiment and a lethargic democratic public. Traditional methods of civic participation and ideal citizenship are difficult to model and teach against this backdrop. Here, we offer…

We investigated the influence of context on students' understanding of cross products of vectors using three isomorphic multiple-choice tests asking for the direction of a cross product in different geometrical settings. One version of the test involved the Lorentz force, the second version involved the torque on an electric dipole, and the third…

The question of how the processes around the Faraday generator with its rotating magnet should be interpreted has been controversial since its discovery by Faraday. Does the magnetic field rotate together with the rotating magnet or does it remain stationary? Furthermore, does one only need Faraday's flux law to interpret inductive processes, or…

I describe an easy-to-build instrument for illustrating the Lorentz force and measuring magnetic fields in introductory physics labs.

In recent years, there have been a number of articles published concerning whether or not potential energy ("PE") as defined in mechanics is invariant under Galilean transformation. This essay addresses that issue in a different, more fundamental and elegant way than has been done thus far. It recognizes that a considerable change in the…

The classical physics treatment of "Electromagnetic Induction" is based on Faraday's Law and Lorentz Force. This paper presents an alternative approach, based on Wilhelm Weber´s Fundamental Force Law of Electrodynamics. It covers mutual induction, self-induction, parallel and anti-parallel currents, and currents in the same and opposite…

The forgotten history of de Broglie waves as themselves artifacts of a Lorentz transform, not physical lengths and frequencies to be transformed, causes confusion for students and others. In this paper the de Broglie wavelength is derived and dependence of de Broglie frequency on velocity explained in terms of Einstein synchronized reference frame…

This is the third of four articles on teaching special relativity in the first week of an introductory physics course. With Einstein's second postulate that the speed of light is the same to all observers, we could use the light pulse clock to introduce time dilation. But we had difficulty introducing the Lorentz contraction until we saw the movie…

The Machian effect of distant masses of the universe in the frame of reference of the rotating Earth is demonstrated using the gravitomagnetic approach of general relativity. This effect appears in the form of a gravitomagnetic Lorentz force acting on moving bodies on the Earth. The gravitomagnetic field of the universe--deduced from a simple…

Although physics education research (PER) has improved instructional practices, there are not agreed upon principles for designing effective instructional materials. Here, we illustrate how close comparison of instructional materials could support the development of such principles. Specifically, in discussion sections of a large, introductory…

This study explored the quality of arguments used by first-year engineering university students enrolled in a traditional physics course dealing with electromagnetic induction and related problem solving where they had to assess whether the electromagnetic induction phenomenon would occur. Their conclusions were analyzed for the relevance of the…