An undergraduate laboratory experiment on measuring the velocity of light with a catastrophic machine

preprint2016arXivOpen access

Abstract

An experimental setup for electrostatic measurement of ε0\varepsilon_0, separated magneto-static measurement of μ0μ_0 and determination of the velocity of light c=1/ε0μ0c=1/\sqrt{\varepsilon_0 μ_0} according to Maxwell theory with percent accuracy is described. No forces are measured with the experimental setup therefore there is no need of a scale and the experiment price less than \pounds20 is mainly due to the batteries used. Multiplied 137~times, this experimental setup was given at the fourth open international Experimental Physics Olympiad (EPO4) and a dozen high school students did very well. This article, however, focuses on the catastrophe theory, which is the basis of the methodology.

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