. The Bell System technical journal . s a reflectedwave from the other terminals due to the terminal impedance irregu-larity which exists there. The third term is a reflected wave from thesending end terminals due to the corresponding terminal impedanceirregularity, etc. The solution, consequently, is expanded in a formwhich corresponds exactly with the actual sequence of phenomenawhich occur. TRANSIENT OSCILLATIONS IN ELECTRIC WAVE-FILTERS 47 The solution takes a particularly simple and instructive form whenZi=kiKi and Z2 = k2K2 where ki and kz are numerics. In this casethe solutions of (6) g
. The Bell System technical journal . s a reflectedwave from the other terminals due to the terminal impedance irregu-larity which exists there. The third term is a reflected wave from thesending end terminals due to the corresponding terminal impedanceirregularity, etc. The solution, consequently, is expanded in a formwhich corresponds exactly with the actual sequence of phenomenawhich occur. TRANSIENT OSCILLATIONS IN ELECTRIC WAVE-FILTERS 47 The solution takes a particularly simple and instructive form whenZi=kiKi and Z2 = k2K2 where ki and kz are numerics. In this casethe solutions of (6) give fo(0 =r0 = 0 l+ix fl 1 l-fc« Yl 1 1+Jfel 1—^2 l + fo etc. and t)- -1- - . , t Z->t n\t) , i-*i 1- The solution for the special cases of open and short circuit termina-tions follow at once by assigning the values of zero or infinity, as thecase may be, to ki and k2. If k\ = o; k2 = l, AJf) reduces to an(t)as, of course, it should. J 1 >> SS8H Jl £34 en £■- > b£ cc JN s si E BTJ g « * Si 3 a B C oa s. * 3 ISJ IM a s *p 3 Q IO 3 a m £ 2 ^ fc- B1 „ -i—i—i—i—s Si 3 / ■a \ V 2 / to 3-S I £8 \ * ~y . *l TJT3 / g| SE is «: •o -^ : .-r : > r 5 / T <e V s x / \ T / ~ A ~ 5 ° 7 £~ V J -^ ^ : i—i—|—|—, , 1 | ig -^ ° ]f \ » 2 /_ \ ~ 5 « 7 _/ v. **«< A- -^« 48 J L -T f r ? / U^ « ^ * ~~~~~~~-^ ^,^T~ \~j^^ V^ _\ \ : ±1 J -) 13 ^ r ^ \ \ — — .—■ — v. —, ■— —1 ■^ f *** 8! IS || 1 1 1 V l^
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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1
