Electron Theory of Matter by O. W. (Owen Willans) Richardson

By O. W. (Owen Willans) Richardson

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Fig. 4. IcV V+ = value of the potential over the right hand face will be d CJLr and that over the hand left face will be IdV F -~^ The mean 2 dx value of the component of the electric intensity along the outward drawn normal the left hand face faces, as hand at the right we may =+*- face \V--z: = ^- # is dy dz x I and dy ^ dz x -- ^ v 2 - 9 2 f3 -< 2 -= over these "1^2 -^ + -j OtJU Ox is "~| ; dx (jiL in the one I The total flux therefore Oy and Oz faces is F- &V 4- 3 F] 2 -I- -r r T- -^r F Similar expressions hold for the whole cube TT dx\ in the other.

The parallelepiped owing to the polarization itself will P of the parallelepiped be Py 8xSz, Px SySz, Pz &xSy and These are the mean values taken over the whole of each respective face of the parallelepiped. If we consider any one of these faces, for instance that which is determined by x = # 4- ^ 8%, respectively. we see that the next element, in this case the one to the right, will give rise to a Px 4- -^ x is the charge over mean it gp / = (P^-f \ &&) SySz, since -3-7 x component of the value of the tion in the next element of volume.

Fully justified when we come to consider the phenomena from the point of view of the electron theory, according to which the polarization arises from an actual displacement of the ultimate The hypothesis electrified particles in the direction of the field. dielectric substances. llinA snhstanc-es the electric inteiisitv does not in DIELECTRIC MEDIA 5 Miril X al I. ,< flit* electric intensity is from the external charged bodies and from the polarization at the boundary charges arising In the present case the amount of this charge It will be negative area of the plates.

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