50 BELL SYSTEM TECHNICAL JOURNAL 



APPENDIX I 



MISCELLANEOUS INFORMATION 



This appendix presents an assortment of material which may be useful 

 to the reader. 



Constants 



Electronic charge- to-mass ratio: 



Tj = e/m = L759 X 10^^ Coulomb /kilogram 

 Electronic charge: e = 1.602 X 10~ Coulomb 

 Dielectric constant of vacuum: e = 8.854 X 10" Coulomb/meter 

 Permitivity of vacuum: n = 1.257 X 10~ Henry/meter 

 Boltzman's constant: k = 1.380 X UF"^ Joule/degree 



Cross Products 



(^'x/i'o. = AyA': - a: Ay 

 {A' xA")y = a'. A': - a', a': 



{A'XAn^ = a'. Ay - Ay A'^ 



Maxwell's Equ.ations: Rectangular Coordinates 



dE, BEy . „ dH, dHy ■ r, , J 



-— — = -joinHx -^ - ~7r ^ jweiix + Jx 



dy oz dy dz 



a£x dE, . „ dih dH, ■ J, , T 



-:r- - -:r- = —joijiHy "^ " ^— = J^^^Ey + Jy 



dz dx dz dx 



dEy dE^ . ^ dHy dih • r , , 



dx dy dx dy 



Maxwell's I^quations: Axlally Symmetrical 



dz ' "^ " d 



dEp dEz • TJ ^^ 



dz dp dz dp 



— ipE^) = —joinpllz — 



dp dp 



dEp dEz . jj dllp dllz • 77 1 r 



= - JoinlU ^- - ^- = J'^^^'P + -^* 



d" '^'^ 



d d 



ipE^) = —jcoixpllz — (p//v) = pijc^^Ez + J.,) 



