1 kHz Vi iR₁ H +12V R₁ VI Q₁ DI -12V D: +12V Q₂ R₂ Q₁ Qo R₁ 0.47 Ω Vcc-v₁-VD₁+UBE₁ R₁ R4 0.47 Q Q. -12V Figure 2 Darlington pair Class AB amplifier Vou The improved power amplifier (Figure 2) uses a Darlington pair configuration to increase the gain of the output transistors. Each Darlington pair can be approximately modelled as a single transistor with double the base-emitter voltage (2x VBE), and squared of the gain (6²). -12V The diodes D, and D2 provide the extra voltage drop required to keep the Darlington pairs active. For the diodes, the current-voltage relationship is given by ID = Isevr. i BQ3 RL 8.20 icq3 BXB (5)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Please show me the derivation of euqation 5 and the one below it. Please do it with a reasonable assumption 

1 kHz
Vin
iR₁
+12V
R₁
VI
Q₁
DI -12V
D: +12V
R2
Q₁
Qo
V₂
Q3
R 3
0.47 Ω
R4
0.47 Ω
Q4
C₂
#H
-12V
Figure 2 Darlington pair Class AB amplifier
Vout
-12V
The improved power amplifier (Figure 2) uses a Darlington pair configuration to increase the gain of
the output transistors. Each Darlington pair can be approximately modelled as a single transistor with
double the base-emitter voltage (2x VBE), and squared of the gain (6²).
Vcc-₁-UD₁+UBE₁ > i BQ31
R₁
RL
8.2 Ω
The diodes D, and D2 provide the extra voltage drop required to keep the Darlington pairs active. For
the diodes, the current-voltage relationship is given by
ID = Isevr.
icq3
BXB
(5)
Transcribed Image Text:1 kHz Vin iR₁ +12V R₁ VI Q₁ DI -12V D: +12V R2 Q₁ Qo V₂ Q3 R 3 0.47 Ω R4 0.47 Ω Q4 C₂ #H -12V Figure 2 Darlington pair Class AB amplifier Vout -12V The improved power amplifier (Figure 2) uses a Darlington pair configuration to increase the gain of the output transistors. Each Darlington pair can be approximately modelled as a single transistor with double the base-emitter voltage (2x VBE), and squared of the gain (6²). Vcc-₁-UD₁+UBE₁ > i BQ31 R₁ RL 8.2 Ω The diodes D, and D2 provide the extra voltage drop required to keep the Darlington pairs active. For the diodes, the current-voltage relationship is given by ID = Isevr. icq3 BXB (5)
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