Computing resistance in given circuit with BJT

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Discussion Overview

The discussion revolves around computing the base resistance (##R_B##) for a bipolar junction transistor (BJT) to ensure its quiescent point (Q-point) is positioned between the saturation and active regions. Participants explore the implications of certain voltage conditions and the application of Kirchhoff's laws in this context.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks assistance with a specific step in calculating ##R_B##, expressing uncertainty about the condition that ##U_{CB} = 0## being necessary for their computations to yield correct results.
  • Another participant questions the definition of the Q-point specification and its implications for the BJT's operation under different conditions of ##V_{CB}##.
  • A later reply acknowledges a lack of theoretical understanding regarding BJTs, suggesting that further reading would have been beneficial.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus on the necessity of the condition ##U_{CB} = 0##, as well as differing levels of theoretical understanding among participants. Some participants provide clarifications, but no definitive resolution is reached regarding the initial question.

Contextual Notes

Participants reference Kirchhoff's laws and the behavior of BJTs without fully resolving the implications of the Q-point specification or the role of ##U_{CB}## in the calculations.

Peter Alexander
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Hi,
before you proceed with reading this question, I would like you to know what I do not expect anyone to solve this task for me. I have a problem with a single step in the solution and I'm only asking you to help me with this one step.

1. Homework Statement

Compute ##R_B## so that Q-point of given bipolar junction transistor is between the saturation region and the active region.
Other data: ##U_{BE} = 0.7 \text{V}##, ##U_{CC} = 5 \text{V}##, ##R_C = 1 \text{k}\Omega## and ##\beta = 100##.
Attached file includes a circuit in question.

Homework Equations


This task should be solved with Kirchoff's laws easily. The reason why I'm saying this is because I've had a similar task before and it didn't require equations usually associated with bipolar junction transistors (e.g. Ebers-Moll model)

The Attempt at a Solution


To keep it short and simple: I can only solve this task correctly if ##U_{CB} = 0## and I don't know why.
I started this task by looking at$$U_{CC} = I_C R_C + U_{CE}$$and$$U_{CC} = I_B R_B + U_{BE}$$which leads to a question: what about ##U_{CB}##?
From the first equation I can derive ##I_C## and use ##I_C = \beta I_B## to compute ##R_B## from the second equation.
My computations yield the correct result, but it is obvious that ##U_{CB} = 0## for this to work. I don't know why is that the case, and I'm not satisfied with "it has to be done in order to find the solution".

If someone would be kind enough to help me out, I'd very much appreciate it.
 

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"Q-point of given bipolar junction transistor is between the saturation region and the active region."

What do you think is the definition for this specification?
In which region will the BJT operate for VCB<0 (negative) and for VCB>0 ?
The answer to your question follows from these considerations
 
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LvW said:
"Q-point of given bipolar junction transistor is between the saturation region and the active region."

What do you think is the definition for this specification?
In which region will the BJT operate for VCB<0 (negative) and for VCB>0 ?
The answer to your question follows from these considerations
Well, that's embarrassing, I should have read a bit more theory on BJTs. Obviously that was my flaw here.

Thank you so much for helping me out and pointing me in the right direction. Solved!
 
No problem - don`t mention it.
Best wishes to you and good success.
 
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