What is the voltage gain for this circuit?

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Discussion Overview

The discussion revolves around determining the voltage gain (Vo/Vs) for a specific circuit involving a transistor, with participants exploring methods to calculate the Thevenin equivalent resistance (Rth) and the impact of circuit components on the gain. The scope includes homework-related problem-solving and technical reasoning.

Discussion Character

  • Homework-related, Technical explanation, Debate/contested

Main Points Raised

  • One participant presents initial calculations for Vth and Rth, proposing two methods to find Rth, leading to different values.
  • Another participant notes that Vs is arbitrary and emphasizes the importance of its frequency, suggesting that the emitter bypass capacitor may affect the circuit's behavior.
  • There is a correction regarding the labeling of the internal resistor of the signal generator, with one participant suggesting it can be neglected due to lack of value.
  • Multiple participants express confusion about the placement of Vo in the circuit, with some asserting it is at the collector while others initially suggest it is at the emitter.
  • Participants acknowledge mistakes in the circuit diagram, with one confirming that Vo should indeed be at the collector.

Areas of Agreement / Disagreement

Participants generally agree that there are issues with the circuit diagram and the placement of Vo, but there is no consensus on the implications of the internal resistor or the exact method for calculating voltage gain.

Contextual Notes

There are unresolved aspects regarding the assumptions made about the internal resistor of the signal generator and the effects of the bypass capacitor on the circuit's performance.

kelvin56484984
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Homework Statement


assume β=200,Vt=26mV,Vbe(on)=0.7V
Find the voltage gain Vo/Vs

How to find the Rth , Vs ,then find the voltage gain?
I try to draw the circuit diagram below

Homework Equations

The Attempt at a Solution


Vth=[R2/(R1+R2)]*15
Vth=1.63V

Which method should I use to find Rth?
Rth=R2//R1
=5.53k ohm
or
I see this formula Rth=0.1Re(1+β) on my book
Rth=0.1Re(1+β)
=10.3k ohm

I assume Rth=R2//R1
Vth=Rth*Ib+Ie*Re+Vbe
Vth=Rth*Ib+(1+β)*Ib*Re+0.7
Ib=8.57μA

Rπ=Vt/Ib
Rπ=26m/8.57μ
Rπ=3.03k ohm

Assume my small signal model diagram is correct
Vb=ib*Rπ
Vo=-βib*Rc

But how to find the Vs
then I can find the voltage gain(Vo/Vs)?
=[Vo/Vb]*[Vb/Vs]
 

Attachments

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Vs is arbitrary, representing some small signal. The gain will be a ratio, so the particular value of Vs is not important. What may be important, though, is the frequency of Vs.
upload_2016-3-5_11-17-59.png


Notice where Vo is on your circuit diagram: It's not the voltage at the collector! What effect do you think the 20 μF emitter bypass capacitor is going to have? You may need to take a closer look at how the capacitors in the circuit are going to affect things, and perhaps examine the emitter circuit in more detail for your small signal equivalent.

Your circuit diagram shows the source resistance labelled with a capacitance value. Presumably that was meant to be associated with CC1. Is there a resistance value for the source resistor?
 
Thank you
the resistot with wrong label is the internal resistor of the signal generator
I think it can be neglected during the calculation since the value is not given
 
kelvin56484984 said:
Thank you
the resistor with wrong label is the internal resistor of the signal generator
I think it can be neglected during the calculation since the value is not given
And the voltage is at the collector
 
Is the given circuit diagram not correct? It shows Vo connected to the emitter.
 
gneill said:
Is the given circuit diagram not correct? It shows Vo connected to the emitter.
Yes , I make some mistakes when drawing the circuit
Vo should be at the collector
 

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