392 Prof. R. Clausius on the different Systems of 



[BJ = [M*L*T- , J; v.s.[E d ] = [M i L'T- 2 ]K- 1 , (27) 



v.d. [EJ^CMiL^T-^K; [E,] = [M^L?T" 2 ]. . (28) 



For K there result from the equations for E and i in con- 

 junction with equations (13) and (14): — 



▼.b.[R,] _ [RJ _ [L 2 T~ 2 ] (m 



[fr] ~v.d.[RJ " W t ' * ■ " w 



[RJ = [L-'T] ; v. s. [RJ = [LT" 1 ] K~ 2 , (30) 



v.d. [R] = [L- X T]K 2 ; [RJ = [LI" 1 ]. . (31) 



Lastly, for C we get from the equations for e and E in con- 

 junction with equations (15) and (16): — 



[CJ -t.A[OJ [L 2 T"T ' * ' ' ^ 



[CJ = [L1; v.s. [C,] = [L- 1 T 2 ]K 2 J . (33) 



v.d.[CJ=[L]K- 2 ; [CJ = [L- 1 T 2 ]. . . (34) 



§ 6. Maxwell's Statements respecting the Ratios between the 

 Static and Dynamic Units. 



On the ratios between the static and dynamic units, discussed 

 in the foregoing section, Maxwell expresses himself differently. 

 He gives, in his work on Electricity (vol. ii. p. 243), the fol- 

 lowing table, in which I have merely taken leave to alter 

 the letters employed for the notation so as to make them agree 

 with our notation: — 



Number of Electrostatic Units in one Electromagnetic Unit. 

 For e and i K, 



„ rn and E, => 



» K 2 , 



» R K?" 



Among these statements, that which refers to the magnetism 

 m directly contradicts our equation (17), since with Maxwell 

 K stands in the denominator, while in equation (17) K stands 

 in the numerator. The mistake made by Maxwell in this 

 statement is a consequence of the already mentioned oversight 

 made by him in the construction of the expression for the 

 electrostatic unit of magnetism. 



