388 Prof. R. Clausius on the different Systems of 



if E denotes electromotive force, the equation 



[E*] = [ML 2 T- 2 ]; (10) 



and if this equation be brought into the form 



and then applied successively to both systems, the following 

 equations are arrived at: — 



[E.]=^'p=[M*L*T- 1 ] > . . (11) 



[E <f ]= [M ^ 8] -=[ M * L>T " S ]- ' ' ( 12 > 



The unit of resistance of conductors is defined as the resist- 

 ance of a conductor in which the unit of electromotive force 

 generates a current of unit intensity. We have, therefore, in 

 order to deduce the formula for it, only to divide the unit of 

 electromotive force by the unit of current-intensity; and then 

 we get, if R denotes conductors' resistance: — 



[R.] = ^=[L-'T], (13) 



[BJ=^=[LT-] (14) 



Finally, the capacity of a conducting body may also be con- 

 sidered, by which is to be understood the quantity of electri- 

 city which the body can receive through the action of a unit 

 of electromotive force. Since according to this definition the 

 capacity of a body to which the unit of electromotive force 

 can convey a unit of electricity is to be considered the unit of 

 capacity, in order to construct the formula for the capacity- 

 unit we have to divide the electricity-unit by the unit of elec- 

 tromotive force ; and from this we obtain, if C denotes capa- 

 city: — 



[CJ = ^1=[L], .... (15) 



C c -]=fe]=[ L " ,T2 ]- • • • ( 16 > 



For the sake of clearness, the units which have been suc- 

 cessively determined in the foregoing may here be tabu- 

 lated: — 



