STEADILY ALTERNATING CURRENT ON A LONG LINE. 349 



-|- j6.y" hyps respectively, the arrival time, or time of transit from 

 ^ to P is 



Ti = — seconds. (7) 



The time required for the wave to go from A past P to B, and back 

 to P, thus making one reflection from the distant end, will be 



el+2e^^2j,-^^^^_^^ seconds. (8) 



CO CO 



This interval may be called the B reflection time at the point P. 



The second B reflection at P arrives after a time Tp^ from 

 switch closure 



.a of 



Tp2=2T-\- Tpi = ^ ~ = 4 r - Ti seconds. (9) 



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Similarly, the feth arrival at P occurs after a time from switch 

 closure of 



,(k-i)T+T,= ^(^-')^^ + ^'' seconds. (lo) 



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Again, the ifeth reflection from the 5 end reaches P after a time Tp^ 

 from switch closure. 



Tpt = 2{k-i)T+ Tpi=''-^ ~ = 2kT-Ti seconds. (11) 



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In the ca'^e when P is situated at B, as in the example of Fig. 9, 



e' = e, e" = o, so that . ' \ 



T^,=^-^ = T seconds, (j^) 



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and 



TBk=2{k- i)T+T ={2k- i)T seconds. (13) 



Instantaneous Value of Growth Factor. — If a sinusoidal e.m.f. 

 of £4 max. cyclic volts, at standard phase, is impressed on the A 

 end of the line at an instant of zero voltage, then the instantaneous 



