Abstract
The authors designed a rotating parallel-plate capacitor; one of the plates is assumed to turn about the common vertical axis through the centers of the square plates. We insert this capacitor into a series with a resistor, forming a RC circuit. We analyze the characteristics of charging and discharging scenarios on two different parallel tracks. On the first track we drive the circuit with a DC power supply. On the second track, we drive the circuit with an AC source.
The analyses of the circuits encounter non-linear differential equations. We format the underlying equations into their generic forms. We then apply Mathematica [1], NDSolve to solve them. This work is an example showing how with the help of Mathematica one is able to augment the scope of the traditional studies.
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Wolfram, S.: The Mathematica Book, 5th edn. Cambridge University Publication, Cambridge (2003)
Halliday, D., Resnick, R., Walker, J.: Fundamentals of Physics, 7th edn. John Wiley and Sons, New York (2005)
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Sarafian, H., Sarafian, N. (2007). Rotating Capacitor and a Transient Electric Network. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds) Computational Science – ICCS 2007. ICCS 2007. Lecture Notes in Computer Science, vol 4488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72586-2_29
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DOI: https://doi.org/10.1007/978-3-540-72586-2_29
Publisher Name: Springer, Berlin, Heidelberg
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