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The magnetic field of an infinite plane current sheet uniform except for two circular insertions of different uniform conductivities |
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| Authors: | Attia A Ashour |
| Institution: | Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt |
| Abstract: | Summary. The electrical system of currents excited by a uniform electric field of arbitrary direction in an infinite plane sheet of uniform conductivity except for two non-overlapping circular areas is obtained analytically. Using the method introduced by Ashour, the magnetic field of the system is also obtained. The components of this additional field are expressed as line integrals which are suitable for computation. The results reduce, in the special case of one insertion, to those obtained earlier by Ashour & Chapman. As an illustration, numerical results are obtained for the special case of two equal insertions of zero conductivity. The analysis and results obtained are useful in estimating the modification of the currents flowing in an ocean and their magnetic field by two islands. |
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