276 ELECTROSTATICS. [PT. II. CH. VI. 



which determines A : 



A - ^^ 2 (V V\ 

 R z -Ry i ~ 



The surface density on- the inner sphere is 





The charge on the sphere is 



In like manner, at the surface r = R^ differentiating by r, we 

 get for the charge e 2 ', 



To find the charge at the outer surface r = R 3 , we must 

 redetermine the constants A and B. Since V = 



r" 



V, 



and the charge at the outer surface 



The whole charge of the conductor 2 is 



e, = el + e 2 " = -J^- ( V, - F.) + FA- 

 We accordingly have for the coefficients q 



