BJT Analysis Question: Solving for Vb with Voltage Divider Method

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Discussion Overview

The discussion revolves around the analysis of a BJT circuit, specifically focusing on solving for the base voltage (Vb) using the voltage divider method. Participants explore the implications of using a voltage divider in this context, including considerations of Thevenin equivalents and the effects of loading from the transistor base current.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a solution for Vb using the voltage divider formula, suggesting Vb = (VCC*30k)/(70k+30k) = 3V.
  • Another participant questions the placement of the question within the problem statement and raises a concern about whether VB is equivalent to Vb, suggesting it may represent a Thevenin equivalent for the base voltage supply.
  • There is a mention of calculating Thevenin resistance by paralleling the 30k and 70k resistors, indicating a consideration of circuit loading effects.
  • A participant emphasizes the need to account for the loaded resistive voltage divider due to the transistor base current.
  • One participant speculates on the author's intent regarding the determination of V_B and R_B as Thevenin equivalents of the base voltage divider.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of VB and Vb, the appropriateness of the voltage divider method, and the impact of loading effects. There is no consensus on these points, indicating ongoing debate and exploration of the topic.

Contextual Notes

There are unresolved assumptions regarding the equivalence of VB and Vb, the effects of loading on the voltage divider, and the specific calculations of Thevenin resistance. The discussion does not fully clarify these aspects.

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Homework Statement


upload_2016-10-31_12-39-28.png


Homework Equations


KVL

The Attempt at a Solution


This is the solution given:
VB = (VCC*30k)/(70k+30k) = 3V
Why is a voltage divider being used to find Vb?
 
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Your question should be in the problem statement, not the attempt.

Are you sure that VB is the same as Vb? Looks to me like a determination of a Thevenin equivalent for the base voltage supply. Was there also a Thevenin resistance calculated (paralleling the 30 k and 70 k resistors)?
 
gneill said:
Your question should be in the problem statement, not the attempt.

Are you sure that VB is the same as Vb? Looks to me like a determination of a Thevenin equivalent for the base voltage supply. Was there also a Thevenin resistance calculated (paralleling the 30 k and 70 k resistors)?
VB is Vb.
Thevenin resistance was calculated for 30k and 70k.
 
What is your task? To find the DC voltage VB at the base?
Don`t forget that you have a loaded resistive voltage divider - loaded with the transistor base current.
 
This is what I imagine the author of the solution was going for:
upload_2016-11-1_6-26-6.png

With ##V_B## and ##R_B## being determined as the Thevenin equivalent of the base voltage divider.
 

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