Electromagnetic Waves - An Introductory Course by M. Verweij, et al.

By M. Verweij, et al.

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Sample text

D................................... 7. Representative elementary domain D. 78) is a loss term and represents the electromagnetic power that is irreversibly dissipated into heat.

1. Force F on an electric point charge of strength q and moving with velocity v with respect to an observer at rest in the reference frame {0, i1 , i2 , i3 }. By first choosing, in Eq. 1), v = 0, one determines by measuring F the value of E = E(x, t). By giving, subsequently, v three linearly independent directions, one can determine H = H(x, t) by measuring F and using the already known values of E. A. Lorentz). It is emphasized that the thus determined values of E and H have the meaning of electric and magnetic field strengths, respectively, only for the observer who carries out the measurements and interprets them according to Eq.

Magnetically impenetrable object A material body, occupying the domain D in space, is denoted as magnetically impenetrable if in it the magnetic field strength is negligibly small, while the boundary condition of the continuity of the magnetic field strength across the boundary surface ∂D of the object is maintained. Consequently, the boundary condition upon approaching the boundary surface ∂D of such a body via its exterior is given by (Fig. 46) where ν is the unit vector along the normal to ∂D pointing away from D.

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