Voltage Generation by Rotating an Arbitrary-Shaped Metal Loop around Arbitrary Axis in the Presence of an Axial Current Distribution
Constantinos A. Valagiannopoulos
DOI: 10.4236/jemaa.2010.26051   PDF    HTML   XML   4,134 Downloads   7,236 Views  


A thin metallic wire loop of arbitrary curvature is rotated with respect to an arbitrary axis of its plane. The device is excited by an electric dipole of infinite length and constant current. The resistance of the loop is computed rigorously as function of the position of the source. In this way, the induced voltage along the wire, under any kind of axial excitation, is given in the form of a superposition integral. The measured response is represented for various shapes of the coil, with respect to the time, the rotation angle and the position of the source. These diagrams lead to several technically applicable conclusions which are presented, discussed and justified.

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C. Valagiannopoulos, "Voltage Generation by Rotating an Arbitrary-Shaped Metal Loop around Arbitrary Axis in the Presence of an Axial Current Distribution," Journal of Electromagnetic Analysis and Applications, Vol. 2 No. 6, 2010, pp. 395-401. doi: 10.4236/jemaa.2010.26051.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] G. Cohn, “Electromagnetic Induction,” Electrical Engineering, Vol. 1, No. 1, May 1949, pp. 441-447.
[2] M. Hvodara and O. Praus, “Electromagnetic Induction in a Half-Space with a Cylindrical Inhomogeneity,” Studia Geophysica et Geodaetica, Vol. 16, No. 3, September 1972, pp. 240-261.
[3] M. Hvodara and O. Praus, “On Some Effects Connected with Electromagnetic Induction in a Rotating Earth,” Studia Geophysica et Geodaetica, Vol. 15, No. 2, June 1971, pp. 173-180.
[4] A. Herzenberg and F. Lowes, “Electromagnetic Induction in Rotating Conductors,” Philosophical Transactions of the Royal Society of London, Series A, Mathematical and Physical Sciences, Vol. 249, No. 970, May 1957, pp. 507- 584.
[5] E. Badea, M. Everett, G. Newman and O. Biro, “Finite- Element Analysis of Controlled-Source Electromagnetic Induction Using Coulomb-Gauged Potentials,” Geophysics, Vol. 66, No. 3, 2001, pp. 786-799.
[6] B. Skillicorn, “Electromagnetic Induction Apparatus for High-Voltage Power Generation,” United States Patent, No. 833436, October 1971.
[7] C. Aprea, J. Booker and J. Smith, “The Forward Problem of Electromagnetic Induction: Accurate Finite-Difference Approximations for Two-Dimensional Discrete Boundaries with Arbitrary Geometry,” Geophysical Journal International, Vol. 129, No. 1, 1996, pp. 29-40.
[8] Z. Chen, O. Lia, C. Liua and X. Yanga, “Electromagnetic Induction Detector with a Vertical Coil for Capillary Electrophoresis and Microfluidic Chip,” Sensors and Actuators B: Chemical, Vol. 141, No. 1, August 2009, pp. 130-133.
[9] B. Woodbury, S. Lesch, R. Eigenberg, D. Miller and M. Spiehs, “Electromagnetic Induction Sensor Data to Identify Areas of Manure Accumulation on a Feedlot Surface,” Soil Science Society of America Journal, Vol. 73, No. 6, November 2009, pp. 2068-2077.
[10] S. Han, W. Gan, X. Jiang, H. Zi and Q. Su, “Introduction of Electromagnetic Induction Heating Technique into on- Line Chemical Oxygen Demand Determination,” International Journal of Environmental Analytical Chemistry, Vol. 90, No. 2, January 2010, pp. 137-147.
[11] G. Giuliani, “A General Law for Electromagnetic Induction,” Europhysics Letters, Vol. 81, No. 6, February 2008, pp. 1-6.
[12] C. Valagiannopoulos, “Arbitrary Currents on Circular Cylinder with Inhomogeneous Cladding and RCS Optimization,” Journal of Electromagnetic Waves and Applications, Vol. 21, No. 5, 2007, pp. 665-680.
[13] L. Hand and J. Finch, “Analytical Mechanics,” Cambridge University Press, Cambridge, 1998, pp. 260-261.
[14] M. Sadiku, “Elements of Electromagnetics Oxford Series in Electrical and Computer Engineering,” Oxford University Press, Oxford, pp. 284-290.
[15] E. Rothwell and M. Cloud, “Electromagnetics,” CRC Press, Florida, 2003.
[16] R. Wrede and M. Spiegel, “Advanced Calculus,” Schau- mm’s Outline Series, 3rd Edition, BPB Publications, Delhi, pp. 229-232.

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