Calculating the amplification of a transistor

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Discussion Overview

The discussion revolves around calculating the amplification of a transistor in a specific circuit configuration, considering different states of a commutator. Participants explore the implications of circuit parameters and configurations on amplification, focusing on both theoretical and practical aspects of transistor operation.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant outlines their approach to calculating amplification, noting the Beta factor and the negligible base current, while expressing uncertainty about their method.
  • Another participant challenges the voltage calculation at point C, suggesting it should be determined using the formula Vcc – IcRc instead of the method described.
  • A later reply indicates that the amplification can be determined as -Rc/(Re+re) without the load, and questions whether Rc's resistance affects the parallel relationship with the load.
  • Another participant asserts that in midband AC conditions, the load is considered parallel to Rc regardless of their respective resistances.
  • Further clarification is provided about the current paths from the collector to ground, emphasizing the independence of the paths through the coupling capacitor and Rc.

Areas of Agreement / Disagreement

Participants express differing views on the correct method for calculating voltage at point C and the relationship between Rc and the load. There is no consensus on the best approach to the problem, and multiple competing views remain present throughout the discussion.

Contextual Notes

Participants mention specific circuit parameters and assumptions, such as the Beta factor and the negligible base current, which may influence their calculations. The discussion includes references to specific voltage values and circuit laws, but does not resolve the uncertainties or assumptions involved in the calculations.

Who May Find This Useful

This discussion may be useful for students and practitioners interested in transistor circuits, amplification calculations, and the implications of circuit configurations in electronics.

Keiner Nichts
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Homework Statement


In the circuit shown below, I have to find the amplification for when the commutator which connects to the 4 kΩ resistance is open, respectively closed. We know the Beta factor to be 200, and the current through the base is negligible. The transistor is made of silicone. (Junctions conduct at 0.6 V)

y3C1yNX.jpg


Homework Equations


Av = Re/(Re+re), Av = amplification, Re = external resistance of the emitter, re = internal resistance of the emitter
re = Vt/Ic, Vt = 25 mV (constant for given temperature), Ic is one of the reasons I am asking this question.

The Attempt at a Solution



For when it's open, I only took into account the 0.2 kΩ resistance in the emitter as the current flows through the capacitor integrally. I also found the current through the collector to be approximately 2 mA, with which I calculated re and thus the amplification. Now, for when the commutator is closed, I've been told by my professor that the current is maintained on the collector part, therefore I calculated the voltage in C. Having earlier obtained a value for the voltage in B of 4V, I simply added 0.6 V. Now, knowing the voltage in C, and that it's connected to a point of 0 potential through the branch with the commutator, I applied Ohm's law to find the current through the load (the 4 kΩ resistance on said branch). Further, I applied Kirchoff 1 to find the current that actually goes to the transistor from the collector, which I found to be about 0.85 mA. I recalculated re using that value for Ic (0.85 mA). Re remained the same.
I want to know if my method is correct, and a bit of a hint on how to get it right if it's not. (Which is rather likely, I am a Physics major so this subject makes less sense to me than most.)
 
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Keiner Nichts said:
therefore I calculated the voltage in C. Having earlier obtained a value for the voltage in B of 4V, I simply added 0.6 V.
This is not correct for voltage at C. If you need to find it, the DC voltage at C is found as Vcc – IcRc.

It is not satisfactory to write a narrative about your calculations, we need to see them. Please attach a neat copy of your calculations (or compose it using Latex).
 
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Oh, thank you, with that, I have managed to correctly determine the amplification without the load, as being -Rc/(Re+re). Now, Rc seems to be tied in parallel with the load because they have the same voltage difference on them. I am wondering, if Rc's resistance would not be equal to the load's, would them being tied in parallel still hold true?
 
When considering midband AC, the load is parallel to RC regardless of the ohmic values.
 
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Thanks a bunch!
 
NascentOxygen said:
When considering midband AC, the load is parallel to RC regardless of the ohmic values.
Because current from the collector sees 2 independent paths to ground: (i) through the low impedance coupling capacitor and then RL to ground, or (ii) through RC and then through the low AC impedance to ground inside the low internal resistance of the ideal voltage source.
 
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