Computing resistance in given circuit with BJT

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SUMMARY

The discussion focuses 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. Key parameters include U_BE = 0.7 V, U_CC = 5 V, R_C = 1 kΩ, and β = 100. The solution involves applying Kirchhoff's laws and understanding the relationship between collector current (I_C) and base current (I_B) through the equation I_C = β I_B. The participant expresses confusion regarding the condition U_CB = 0, which is necessary for the calculations to yield correct results.

PREREQUISITES
  • Understanding of bipolar junction transistor (BJT) operation
  • Familiarity with Kirchhoff's laws
  • Knowledge of transistor parameters such as U_BE and β
  • Ability to manipulate basic electrical equations
NEXT STEPS
  • Study the Ebers-Moll model for BJTs
  • Learn about the significance of the Q-point in transistor circuits
  • Research the impact of V_CB on BJT operation
  • Explore advanced BJT biasing techniques
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing BJT circuits will benefit from this discussion.

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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