RECENT PROGRESS IX PHYSICS. 443 



Closing the circuit with a branch a', the result was 



% = 0.386, and ~ = 0.4563. 



z 



Closing with a branch /9', 



A =0.519, and -1 = 0.7279. 



'J « 



Closing with an (iron) wire /, 



A — 0.449, and 1.= 0.5734. 



z' 



Therefore — 



from which it follows that, when the circuit is closed with the three 

 branches simultaneously, we get for the temperature with unit of 

 charge, 



A- 1^^ = 0.7851. 



1 H — 



^ 1.758 



The experiment gave for this combination, 



A =0.784. 

 Additional experiments showed a like harmony between the com- 

 puted and observed values. 



§47. Temperature in a branch op the conducting circuit. — We 

 have seen that the quantity of electricity q is discharged through two 



branches of the closed circuit in the time ; z and zl represent- 



7 + 7^ 



ing the time in which each of the two branches is able separately to 

 discharge the same quantity of electricity. In the unit of time the 



first branch can discharge the quantity of electricity-^; hence the 



quantity of electricity which the first branch discharges in the time 



J equals r-', likewise the second branch discharges 



7+7 K7 + 7) 



in the same time the quantity — ^ . Hence the temperature 



^'(1+7) 



a f 



h = 



'^ T .1 1^2 



1 + — ^•^'(-+:y 



11 ^z d' 



-+- 



z si 



