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Early quasi-steady electro-magnetic fields about conducting surfaces

Published online by Cambridge University Press:  17 February 2009

Graham J. Weir
Graham J. Weir
Affiliation:
Applied Mathematics Group, The New Zealand Institute for Industrial Research and Development, P O Box 31-310, Lower Hutt, New Zealand.
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Abstract

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Step changes in current through either grounded or ungrounded wires lying on the surface of a uniformly conducting half-space produce image current sources within the surface the conductor. This image current is effectively the only source term for initial changes in ∂1Bz, Ex and Ey. The general steady state electric and magnetic field components resulting from steady currents flowing through either grounded or ungrounded wires of finite length lying on the surface of a uniform half- space are derived. Then the operators mapping these steady fields into the early values of ∂tBz, Ex and Ey on or above the conducting half-plane resulting from instantaneously stopping the current flow through the wires are derived.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 4 , April 2001 , pp. 481 - 493
Copyright
Copyright © Australian Mathematical Society 2001

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