Predicting the Influence of Plate Geometry on the Eddy Current Pendulum
Catherine Weigel, Jeremy M. Wachter, Paul Wagoner, Timothy J. Atherton
TL;DR
This paper presents a comprehensive analysis of how plate geometry affects the damping in the eddy current pendulum, combining theoretical models, simulations, and experiments for educational purposes.
Contribution
It introduces a first-principles approach to predict damping effects for various plate geometries in the eddy current pendulum, integrating conformal mapping, simulations, and simplified models.
Findings
Conformal mapping accurately predicts damping variations.
Finite element simulations match experimental results.
Simplified models are effective for educational demonstrations.
Abstract
We quantitatively analyze a familiar classroom demonstration, Van Waltenhofen's eddy current pendulum, to predict the damping effect for a variety of plate geometries from first principles. Results from conformal mapping, finite element simulations and a simplified model suitable for introductory classes are compared with experiments.
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