A vacuum tube c11'Ou1t which 1a oapable ot about
t
150 ma out-put currents and whioh baa a verr low incremental outout-put 1mpedance has been dea1ped tor uae w1th the tour diode bridge gate. This circuit which haa a non-linear plate load reaiatance i8 111ustrated in Fig. 7-6. !be combination ot the aener d10de Dl 1s and resistance RL torm the DOD-linear plate load. the other zener d10de D2 1su.ed to couple the plate ot '1 with the grid ot T2. A COMplete plecewiae liB . . r anal,.i. ot th1a 01rcu1t i8 ·lncluded 1n Appendlx II. '1'he lapoJ'taat reaulta oan be e.al1J 8Wl1JU!l1'1aed. The clrcuit 11 capable ot • poaitive output current ot ~ - Ea. The b.egat1ve out Plt eurreftt can be 8a hish a. Be. Both
-
rp ot r Pth.ee currents 8 reJIIlX1mwI currents outputs caloulated w1thout driving an,. grid posi-t1ve. 'l'he incremental output realatlnce .ear the po1nt where 19 • 0
i. given 1n Bq. 7-5. 1n the output :reSi8t.ftCe tor oODlparativelr _11 positive values ot output current. 'fo prevent this breakpoint trom interfering
vith the sJst... atabl11tJ 1t haa been shifted bJ app17ing a current
----
0 ic + ec0
Fig. 7-5 A Real Capacitor
T 5687
+300
-150V
I fa
+
Ez=120V
ez = 350V _ +
l
R,Iel
250K.o.
-300
.'0011-'-f
-Fig. 7-6 White Cathode Follower with Non-Linear Plate Resistance
.rI
- 20-1
--150 -100
~
> 101w o
o io (rna)
---I
I
-+---+---·0---+----+--+-
+---+--+-------t---50
t
50 100 150-10
--~---o_
__
o~20Fig. 7-7 White Cathode Followerrs Output Characteristics
TI-2N498
.lfLf
-25V
4.3K.o. 47K.o.
-50V +25
100.(1
270£1
~
PJlse Width Adjust.
Fig. 7-8 Transistor Blocking Oscillator
CK5755
Tr
Storagerapacitor
Plg. 7-9 output Burter
+ 45V
-,--...-... --;11.---0
Trigger Source for 4 Diode' 270.(1 Gate
Note: All Diodes Transitron SG222
104
CK5755 18 espec1ally des1gned to keep gr1d leakage current at about lo"9ampa • 'rh18 our rent 18 less than the ourrent through the gate.
Thi8 tube is used 8S a cathode follower in the output burter. The cathode reaistor ot the cathode follover must be kept h1gh (about
1 meg) 1n order to take advantage ot the tubes spec1al properties.
Thi8 high resistnace 1n the cathode follover prevents the oircuit from being loaded down. Another cathode follover tollows this first cathode follover in order to IIIke the output ot thi8 stage IIOre
usable. A bias adjustment 18 a180 provided in the circuit.
APPENDIX I
The 88 va ig plot tor the tour ~iode bridge 81te can be obtain-ed by a graphical procedure G Bqa. '-218 and 3-2lb from which this procedUre i8 de1'1 ved are repeated heN tor convenience.
'.218
'.2lb The stepa belov are tollowed to determine a single point on the
8g va 19 plot.
1) plot t [
~
] va 19 to-r an arb1t-r8l'Y~
2) plot
t'[~J
va 183) add 1) aDd 2)
4) plot
B.r - t.,:a
T (include he:re tr1ge-r source non 11n-ear1tl •• )5) l11ael'llectlon ot ') and 4) are pos8ib1e operating points.
6) cOJlpute as b7 subtraoting 1) and 2)
7) plot 8S va 1s (one polnt, wlth ~ 88 a parameter) 8)
trr
agaln to-r another iT (ie . so back to 1)It in followlng th1s pPOoedure
3)
aDd4)
don't lnt.react, the value vhich vaa arb1tJ'llr111 choan tor1.r
can na •• r occur. While thisprocedure
mar ••••
rather t~. coaaum1uI at first B~8nce. 8 good estimateot .s
va i£ can actual1,. be obta1n~ rather qulckly in practioe. It lT 1_ a cu-rl'8llt source on11 the subtraction ot Bq.,-21b need b. pertoNed.
®--~ ---0
Fig. Al-l Graphical Construction Used to Find eg VS. ig Plot for Four-Diode Bridge
APPENDIX II
The piecewise linear analys1. ~f the Wh1te CathodeFOllower
18 outlined below. It i8 always assumed that the oUl"rent through D2 is 8 small percentage ot the current through Tl • This appl'Ox1-mation allows us to neglect the b1as resistor which goes trom the gr1d ot T2 to the -300 Volt
supply-Equations tor Both tube in 11near range and Dl DOn conducting.
~l
..
s"l l"p - .... eel~2
..
1b2 rp - 11 .c2~
..
i b1 R + eb1 + eb2 ... Be1\ ..
ib1 R + ez + eC2 ... Beib2 + 10 .. 1bl
g1ven B1n, 10 find 8b2, eb2 , ib2 , 1
b2,
ecl ' ec20 rp 0 -1 0 -~ 0 1bl
0 0 l"p o -1
o
-11 lb2~ + Eo = R 0 1 1 0 0 -bl
~ + Ee - e z R 0 0 0 0 1 ~2
E1n + Eo 0 0 0 1 1 0 eel
l
io 1 -1 0 0 0 0 ·02L1sted beloy are the total equat10ns tor the White Cathode tolloweria ourrents and voltag ••
FiG- A2-1 The Whi te Ca.thode Follower
Incremental r p Resistance
77
e o (i=O)/
e -E
"'E, +~
"" In fL
Incremental rp-+-R Resistance
--p:-Incrementol r p Resi stance II'
. _ Eb+ 1+t'ifL Ec- ez
10 - R
. Ez
lo=T
Fig. A2-2 Wnite Cathode Follower's Theoretical Output Characteristics
103
D~l
-= D1 .. 10 [(1 + JJ.)rp ] + JJ. Rin+[
1 + tJ.+
",,2 JEb + +r 1
+2
tJ. + ....2] EC
+[_""_1'2]
ezDib? l1li
D~
..[-1'
P - (1 + I' + ....2)~
] 10 + tJ. E1n + [ J + tJ. + ",2]'\,+ [1 + 2tJ. + 112
J
Ee + [.'-".f.12J .z
Debl .. D} .. [rp2 - .... l'p R ] 10 + [-11 rp-IlR-f.12 R ] Ein + [rp
+ '2 .... r p] Eb + [r p + tJ. l' P -.... R ... 2 R ] E c + [-.... 1' P + '-" 2F ] e z
Deb2 l1li D4 .. [- l'p2 - l'pR ] 10 + [1l2R + ""l'pJ E1n + [ l'p - Ill' p]
~
+ [rp + .... 2 It JEe + [ JJR + aAr p ] sa
Decl .. D5 .. [rp2 + I'pR J10 + [2rp + R + alRJ Bin + [- rp + ",,1' P
J ~
+ [R + tJ. R + r p + Ill' PJ
Ke + [ - Ill' P • tJ.R ..J
e ISDee'2 l1li D6 .. [- l'pR - p.rp R ] 10 - tJ.R 11n + [2l'p + tJ.rp ]
~
+ [21' P + J,Ll' P .. t.&R
J
Ee + [ - R - tJ.r p - 21' P ] e z When T2 cutsorr
the follow1ng equations apply' 1b2 l1li 0i l1li tJ. Eill+[1+U+J!21Eb+[1+2!+ij2 JEo -["+11:2
o
l5'i'
D1 J D . D'.0 -
~R B1.-~
, -h!+~Vl+ .. l
D D D
D1 .. r p + (1
+
tJ.+ ....
2 ) RE 1 im1ne, iag Bin
tJ. R 10
·.0 ..
~ + (1 + tJ.) Be - ... s The equation vi th f 2 cut ott 18 thene o - .. i o
The equation below app11es only at the point or cutoff.
110
eo • lL~21t Kin - ~ Ii,'" [rl2
+~][l
+If] Be
+a [r¥
+Ill ••
or ~
D1 DThe next break po11'1t Vill OCCUr when Dl beg1ns to con.duct at 10 • E ..
r
e o •
R.. - E
- " 1 + ~' z
!he •• equationa are lOad until eel soes positive a t .o - 0 10 • Eb - Bz - B1n
rp
A break po1nt vill occur tor negat1ve 10 vhen the gr1d of '2 goes pOsit1ve. eel • 0
The results of these calculations are summarized in Fig. A-2.
BIBLIOOltAPBY
1. Rubinott. II., "Aoalogue
va.
DigItal CODlputer8-A Comperison,"~1'00U91PR ot
th!
IU. Vol • .la,,p
l25~-1262, October, 195'.2. K81U1edl, O. W ...
MNa
j Apalos-ifS1t,t'1 F1.1&!:t Simulat1011, M.I.1'. SeJ'VOllecbi au ., eourse , .I.
'l'heais" "swar,., 1959.-4. R4fhe PUlsed Analog DeDlOutretlolt Computer," Flnal DflNaonat:rat1on Report 45-1, DSR p:roJeot 1591, M.I.'1'. Sel"vomecbal11sl'II8 Lab., April, 1959.
5.
ltea:oed1,o. w.,
Morot'l81. R., and Mo1'8e. H ... An EX~:rl~ts1Aatl$f-ijS1tal P'1~t §M1ator M.l.T. Servomecfiii smat).,
~.po
-2, d£.
au. §. .6.
7.
van
Rena •• , A. B •• Tbettwh1t."
Cathode Follower, Bl1gIneerlngMemo~dua
.0.
2}, DIC Project 6663, M.I.T. ServomechanIsms Lab., Wov., 1950.8. libera, J. 1. aDd _11, J. L. , "Larg .... Slgn.l Bebevtor ot Junct10n 'l'reutatora
"F.9!!41W
ot the I~ Vol. 42, fJp 1761-1712,December, 195 •
9. 11011, J. L., "Large-Slsnal 'l'reuslcmt Itesponae of' JUnction Trau1.toN," b:20eedIM! 9( the IRE Vol. 42, :P1' 17~';'1784,
December, 195-. .
10. SUran. J. J., "Tran.1ator Monoatable Mu1tlvibrators for pulse G.eretio •• " Prooeeding of the IRE .. Vol. 46, pp 1260-1271, JuDe, 1958.
11. Eddins, W. 'I... "sallSple aDd Hold Circuit. tt
}.ZS
IR!; NatiOft8,lC9lV8Dt19P
IIecon'
Vol. 6, Part 5, pp 21-25.14. Von H1ppel, A., Editor, D1eleotr1cJJ!ter1als and A:epI1oat1ona, The Technology Preas ot
M.!.T.
i95~. 116. Hana11toD, D., "'l'Nu1.tor Pulse Geuerstol' For Digital Syatem" I IRK Trell.act1ons OD Electronio Computers, Vol. EC-'! I pp. 244-249, Sept., 1958.
113