On the Fundamental Law of Electrical Action. 347 

 As before, the leading term on the right is 



T 1 -hr- 2(s) /7Q\ 



ll= X(s) e ' " ' 



and the other integrals can be derived from it by differ- 

 entiations with respect to %{s). So far as the first two 

 terms inclusive, we find 



2r 2 



^+ 



p )}, ... m) 



iXWI 3 4{2( S )}< 



from which we may fall back upon (45) by dropping the 2 

 •and making p = n. In general X(p) = n. The approximation 

 could be pursued. 



Let us now suppose that the representative points are 

 distributed over the area of a circle of radius L, all infini- 

 tesimal equal areas being equally probable. Of the total n 

 the number (p) which fall between I and l + dl should be 

 n. (2ldl/Ij 2 ), and thus 



2W=P(pZ 2 )= p( o Lm =^' • • ( 75 ) 



Z(s>lp) = &(pl*)=^ L V>dl=^. . . (76) 

 -^ Jo ± ~ 



Introducing these values in (74), we get 



2 ^M=-dTl 1 -sl 1 -l? + A i )f (77) 



A similar extension may be made in the problem where 

 the component vectors are drawn in three dimensions. 



XXXII. On the Fundamental Law of Electrical Action. By 

 Megh Nad Saha, M.Sc, Research Scholar in Mathematical 

 Physics, Sir T. JS. Palit College of Science, Calcutta f. 



IN the present paper an attempt has been made to 

 determine the law of attraction between two moving 

 electrons, with the aid of the New Electrodynamics as 

 modified by the Principle of Relativity. The problem is a 



* The applicability of the second term (in 1/n) to the case of an 

 entirely random distribution over the area of the circle L is not over 

 secure. 



t Communicated bv Prof. D. N. Mallik. 



