B. Let us consider the internal structure of a Darlington transistor (see figure 2): 1- Give the expression of Ic as a function of Ic₁ and Ic2. 2- Give the expression of Ic₁ as a function of B₁ and IB. 3- Give the expression of Ic2 as a function of B2 and I'g, then the expression of Icz as a function of ß2 and I'E. 4- Give the expression of I'E as a function of IB and Ic1. 5- Replace in this relation Ic1 by the expression of question 2. IB B₁ I'E Figure 2 Ici I'B 8- From this latter relation, deduce the expression of the relation Ic/IB. 9- If B₁ = ₂ = 100, calculate Ic/lg for a Darlington transistor and compare to the expression Ic/IB of a single transistor. Conclude. Is Icz B₂ IE 6- In the relation of la question 3, replace I'E by the relation of question 5. 7- In the relation of question 1, replace Ic₁ by the relation of question 6 and Ic2 by the relation of question 3.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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exo 2 b

 

Exercise 2
A. We consider the circuit given by figure 1
1. Determine the impedance matrix as well as the
corresponding electrical model.
2. Determine the admittance matrix as well as the
corresponding electrical model.
B. Let us consider the internal structure of a Darlington
transistor (see figure 2):
1- Give the expression of lc as a function of Ic₁ and Ic2.
2- Give the expression of Ic₁ as a function of B₁ and IB.
3- Give the expression of Ic2 as a function of ß2 and I'g, then the
expression of Icz as a function of 2 and I'E.
4- Give the expression of IE as a function of IB and Ic1.
5- Replace in this relation Ic1 by the expression of question 2.
Ve
Figure 1
IB
FMW
B₁
I'E
R
Figure 2
Ici
I's
Vs
8- From this latter relation, deduce the expression of the relation Ic/IB.
9- If B₁ = ₂ = 100, calculate Ic/IB for a Darlington transistor and compare to the expression
Ic/IB of a single transistor. Conclude.
Is
Icz
B₂
IE
6- In the relation of la question 3, replace I'E by the relation of question 5.
7- In the relation of question 1, replace Ic₁ by the relation of question 6 and Ic₂ by the relation of
question 3.
Transcribed Image Text:Exercise 2 A. We consider the circuit given by figure 1 1. Determine the impedance matrix as well as the corresponding electrical model. 2. Determine the admittance matrix as well as the corresponding electrical model. B. Let us consider the internal structure of a Darlington transistor (see figure 2): 1- Give the expression of lc as a function of Ic₁ and Ic2. 2- Give the expression of Ic₁ as a function of B₁ and IB. 3- Give the expression of Ic2 as a function of ß2 and I'g, then the expression of Icz as a function of 2 and I'E. 4- Give the expression of IE as a function of IB and Ic1. 5- Replace in this relation Ic1 by the expression of question 2. Ve Figure 1 IB FMW B₁ I'E R Figure 2 Ici I's Vs 8- From this latter relation, deduce the expression of the relation Ic/IB. 9- If B₁ = ₂ = 100, calculate Ic/IB for a Darlington transistor and compare to the expression Ic/IB of a single transistor. Conclude. Is Icz B₂ IE 6- In the relation of la question 3, replace I'E by the relation of question 5. 7- In the relation of question 1, replace Ic₁ by the relation of question 6 and Ic₂ by the relation of question 3.
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