. The Bell System technical journal . Fig. 7 — Section of paraboloid and inclined plane of Figs. 5 and 6. THE DESIGN OF TETRODE TRANSISTOR AMPLIFIERS 823 and straight line are sections of the paral)oloid and plane through thegradient line of the plane over 1, 0. A straightforward analysis indicates that the point in the L-M plane\\ here the maximum of Po/Pi occurs is at L + jAI = 1 - CKgG (23) ^\liere these quantities are defined as in (2), (3), and (4). The power gaincit this optimum point is Kg times that obtained at 1, 0. One finds that1 he maximum gain is only two times Pm/Pio even if C ap
. The Bell System technical journal . Fig. 7 — Section of paraboloid and inclined plane of Figs. 5 and 6. THE DESIGN OF TETRODE TRANSISTOR AMPLIFIERS 823 and straight line are sections of the paral)oloid and plane through thegradient line of the plane over 1, 0. A straightforward analysis indicates that the point in the L-M plane\\ here the maximum of Po/Pi occurs is at L + jAI = 1 - CKgG (23) ^\liere these quantities are defined as in (2), (3), and (4). The power gaincit this optimum point is Kg times that obtained at 1, 0. One finds that1 he maximum gain is only two times Pm/Pio even if C approaches unityA\ hich corresponds to the marginal case of potential analysis just described leads to the maximum values of power I gain and to the best terminating impedances. For many design problems1 liese answers are a guide but one may prefer to use other than optimum \alues for other compelling reasons. For such a case charts from which I one can get the pertinent quantities are very helpful. P^^IGUE lN^DEGRee3. G2+jB2= YL+h22 ^22 — i22n +jh22l Fig. 8 ■— Gain and impedance chart. 824 THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1956 Pl=Plo(i + cx) C = 2 Pqo LO h„ hs, ■ 21 Plo 4h„rh22r-2Reh,2h2i x=o ■ LO ANGLE OFGiN L-M PLANE IS: ARG -^^z^z^ Fig. 9(a) — Input power as a function of X. Development of Transmission and Impedance Charts The same point of departure employed in the evakiation of optimumcases leads to a convenient set of charts. Equation 12 shoAvs that a setjof concentric circles centered at 1, 0 are loci in the L-M plane of constantpower output for a unit current source at the input. It is convenient toplot these as is done on Figure 8, showing Pq as a fraction of Poo • h 21 Po Poo l-(L-lf- M (24) 4/i 22r Since Yl , the load admittance, is —I2/E2, using (10) one obtains -h = Yl = -A22 + 2h 22r E2 - L+ jM Now it is clear that if one defines G2 and B2 by 2/l?2r ^2=^2+ JB2 = Yl + h22 = L + jM (25)
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