52O PARTICULAR CASES OF INDUCTION. 



From this is deduced, for the quantity of electricity put in 

 motion, 



L'RR' RR'' 



and, for the calorific work expended in the circuit, 



543. CURRENT ON CLOSING. The moment the inducing 

 current is closed, the two circuits react on each other, and we must 

 take into account the two simultaneous equations (27). 



If we put 



2 R' 



(35) 



the roots of the equation are 



/ + R / L)-2RMa 

 2(LL'-M 2 ) 



2(LL'-M 2 ) 



The coefficients will be determined by the aid of equations (27) 

 and (28) by the condition that, for /=0, we have 1 = and I' = 0, 

 which gives 



M L 



Jx JK 



M L' 



- (A P + Ep) + ( A> + B >') = , 



K. K. 



We get then 



_ E( if/ R'L-RL'\ ft / R'L-RIA P 't~] 



! = <!-- ( i+ \e -(i )e 



R( 2\_\ 2 RMa / \ 2 MRa / 

 (3 6 ) 



E / ** P 

 I = ( e -e 



2 Ra\ 



