Engineering Computing resistance in given circuit with BJT

AI Thread Summary
The discussion centers on computing the base resistor (R_B) for a bipolar junction transistor (BJT) to ensure its Q-point is positioned between the saturation and active regions. The user expresses confusion about the necessity of assuming that the collector-base voltage (U_CB) equals zero for their calculations to yield correct results. They derive equations using Kirchhoff's laws to relate the supply voltage (U_CC), collector current (I_C), and base current (I_B), but struggle with the implications of U_CB. Clarifications about the operational regions of the BJT based on V_CB values are provided, leading to a realization of the need for a deeper understanding of BJT theory. Ultimately, the user expresses gratitude for the guidance received, indicating that their question was resolved.
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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