494 D\; & ~CH. xvi 



2. A conductor of considerable cap*-. rged through a wire of - 



Dories of points alo: _ - - equal 



conductors each of capa attached. Find an eq . :he periods 



wire, and shew th ^sistance of the wire may lx- 

 the equation may be written 



2 ta: : wfc 



3. A Wbeataton- . \rrangem- onipare the coefficient of m 

 induction Jf of :i L of a third coil. One 

 coils of the pair is placed in the batter 



ranometer, an :n AD. The bridge is fir- - 



for steady curr- Distances of AB, BC, CD, DA being then R^ R*, R^, R: the re- 



sistance of the shunt is alter 



make and break of the battery circuit, and the - en R. 



Prove 



LR1 



4. each containi:. . - ime natural freq:: 

 when ..ce, are I: the mutual ind 

 betw^ r :-uits is small, there will be in each : fundamental per: 

 oscillation given by 



_ _ 



~ ~*~_ ^T~L.i 



where f self-induction, and Jf the coeffi- 



: mutual induction, of the cir 



5. Let a network be formed of conductors A. B, ... arranged in any order. Prove 

 when a periodic electromotive force Fcospt is placed in A the current in B is the same in 

 amplitude and phase as the current is in A when an electromotive for - is placed 



