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Electromechanical Dynamics (Part 1).0033

# Electromechanical Dynamics (Part 1).0033 - A-PDF Split DEMO...

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Introduction (1.1.26) and (1.1.27) result from integrating (1.1.14) and (1.1.15) when Jf = J, - pv and H' = H - v x D, where v is the local velocity of the contour or surface. 1.1.3 Electromagnetic Forces The force experienced by a test charge q moving with velocity v is f = qE + qv x B. (1.1.28) This is referred to as the Lorentz force and provides a definition of the fields E and B. For this case of a single moving charge the quantity qv constitutes a current. Hence the first term in (1.1.28) is the force on a static charge, whereas the second is the force on a current. In a continuum theory in which we are concerned with a charge density p, and a current density J, forces are stated in terms of a force density F = pfE + J, x B. (1.1.29) Free charge and free current densities are used in (1.1.29) to make it clear that this expression does not account for forces due to polarization and magnetization. The terms in (1.1.29) provide a continuum representation of the terms in (1.1.28). The averaging process required to relate the force density of (1.1.29) to the Lorentz
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