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To determine its value, consider the surface integral of the time derivative of D/c
over the open surface identical in shape to C, but moving with the interface at
velocity v and instantaneously coincident with C in Fig. 1.5. The integral is J c dt ...
Thus the integral (4.16) is J<r E(x) d3x = -^f-\d3x' ^ n'p(x') (4.17) where (r<, r>) = (r'
, R) or (R, r') depending on which of r' and R is larger. If the sphere of radius R
completely encloses the charge density, as indicated in Fig. 4.1a, then r< = r/ and
From the first postulate of special relativity the action integral must be a Lorentz
scalar because the equations of motion are determined by the extremum
condition, 8A = 0. If we introduce the particle's proper time t into (12.3) through dt
=ydT, the ...
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Introduction and Survey
Introduction to Electrostatics
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