Download e-book for iPad: Biological Effects and Dosimetry of Static and ELF by Sol M. Michaelson, Martino Grandolfo (auth.), M. Grandolfo,

By Sol M. Michaelson, Martino Grandolfo (auth.), M. Grandolfo, S. M. Michaelson, A. Rindi (eds.)

ISBN-10: 1461292433

ISBN-13: 9781461292432

ISBN-10: 1461320992

ISBN-13: 9781461320999

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Extra resources for Biological Effects and Dosimetry of Static and ELF Electromagnetic Fields

Sample text

L. A 10glog plot of electric field strength versus frequency shows a linear relation, which means that the natural background electric field decreases very rapidly with increasing frequency7. Superimposed on the rapidly falling electric field background is a series of reso- 51 ,, ,, lao ,, ,, ,, ,, , 10"' 16' ,, ,, I~~~-----------~-----·~'~------~------~----~~ 10' 10"' Frequency/Hz Fig. 1. 001 - 300 Hz. nances. Such resonances, which characterize also magnetic fields, will be discussed in details later.

It can be shown that quasi-static fields belong to this class of solutions 7 . If we inspect Maxwell's equations in the quasi-static approximation, taking into account that electric field and electric current density (which gives rise to the magnetic field) are related by (33) we find that three basic types of solution exist, according to the 46 character of zero-order terms: 1) solutions of the electric type, characterized by the absence of a zero-order magnetic field. That corresponds to zero conductivity, in particular to the behaviour of a loss less capacitor; 2) solutions of the magnetic type, characterized by the absence of a zero-order electric field.

E H E In more careful analyses, however, first-order terms must sometimes be taken into account. We deal in this case with fields which can be represented solely by zero-order and first-order terms, the formers giving by far the last contribution. Such fields are referred to as quasi-static fields and can be written in the simple form: -+ E -+ H 45 being the component terms respectively solutions of the zero-order equations: -+ -+ -+ -+ V V E H Po 0 0 0 -+ V x E -+ 0 -+ -+ -+ V x H J 0 and of the first-order equations: -+ -+ -+ -+ -+ -+ V V P1 E1 H1 0 V x E1 - -+ -+ -+ V x H1 -+ ()H J1 ]l ()t + E 0 -+ ()E _ _0_ ()t In conclusion, we can say that the general calculation of timevarying fields is a quite difficult task.

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Biological Effects and Dosimetry of Static and ELF Electromagnetic Fields by Sol M. Michaelson, Martino Grandolfo (auth.), M. Grandolfo, S. M. Michaelson, A. Rindi (eds.)


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