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American Journal of Physics -- June 2010 -- Volume 78, Issue 6, pp. 639
Electric fields in the presence of conducting objects
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Add to FacebookWhen a conducting object is placed in a region where there is an electric field, charges are induced on its surface. We seek the unique surface charge density that produces an electric field that cancels the original field inside the conductor. When the external sources are point charges or uniform fields, it is easy to determine the field that the induced charges must produce inside the conducting object. Up to a constant, this field gives the potential on the conducting surface, which suffices to determine the potential function outside the conductor. The perturbing field produced by the induced charges is obtained from this potential, and a simple boundary condition gives us the induced surface charge density.
© 2010 American Association of Physics Teachers
ACKNOWLEDGMENTS
It is a pleasure to thank the referees for very constructive suggestions.
Article Outline
- INTRODUCTION
- EXAMPLES
- CONCLUSION
KEYWORDS and PACS
Keywords
PACS
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Electromagnetism; electron and ion optics
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History
Received Jul 2009
Accepted Jan 2010
Online May 2010
Accepted Jan 2010
Online May 2010
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