Bipolar junction transistor analysis at emitter.

Thread Starter

lam58

Joined Jan 3, 2014
69
Hi for the question in the attached image below, would

Ve/Vs = [hfe*Re]/[Rb + hie + (hf'e*Re)], with hf'e being the value I found for Vc/Vs?
 

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t_n_k

Joined Mar 6, 2009
5,455
I would rather have:

\(\text{\frac{V_e}{V_s}=\frac{R_E(1+h_{fe})}{R_B + h_{ie} + R_E(1+h_{fe})}}\)

where hfe is the value per the original problem statement.
 

Thread Starter

lam58

Joined Jan 3, 2014
69
I would rather have:

\(\text{\frac{V_e}{V_s}=\frac{R_E(1+h_{fe})}{R_B + h_{ie} + R_E(1+h_{fe})}}\)

where hfe is the value per the original problem statement.
Ok but would Vc/Vb stay as (-hfe*Rc)/{Rb+hie + (Re*hfe)} or would this also be Re*(hfe + 1)?
 

Jony130

Joined Feb 17, 2009
5,600
Not entirely, I think it's because it's the resistance Re + the resistance of the emitter Re affected by the hfe of the junction?
We use hfe+1 because the emitter current is equal to
Ie = Ib + Ic = Ib + Ib*hfe = (hfe + 1)*Ib
And this is why Re resistor is seen at the base as (Hfe +1)*Re
 

Thread Starter

lam58

Joined Jan 3, 2014
69
We use hfe+1 because the emitter current is equal to
Ie = Ib + Ic = Ib + Ib*hfe = (hfe + 1)*Ib
And this is why Re resistor is seen at the base as (Hfe +1)*Re
So to clarify my initial question is yes it would be (Re*hfe+1)/{Rb+hie+(Re*hfe+1)}? :)
 
Sometimes you are asking about Ve/Vs and Vc/Vs, but other times it seems to morph into Ve/Vb and Vc/Vb.

What do you understand to be meant by Ve/Vb as opposed to Ve/Vs? Wouldn't Vb mean the signal voltage at the base directly, whereas Vs is the signal at the left end of Rb? So, Ve/Vb is a different gain ratio than Ve/Vs?

Please be absolutely clear which you are asking about.
 

Thread Starter

lam58

Joined Jan 3, 2014
69
But you in post 9 show equation for the voltage gain



The correct one is Ve/Vb = (Re*(hfe+1))/{Rb+hie+(Re*(hfe+1))

But now Vc/Vb = ?
It's supposed to be Vc/Vs, it's just a typo.

Vc/Vs= (hfe*Rc)/{Rb + hie +(Re*1+hfe)}

Although technically wouldn't Vc/Vs = Vc/Vb since R1, and R2 are ignored?
 
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Thread Starter

lam58

Joined Jan 3, 2014
69
t_n_k is right.

\(\text{\frac{V_e}{V_s}=\frac{R_E(1+h_{fe})}{R_B + h_{ie} + R_E(1+h_{fe})}}\)
If there were a capacitor across Re that grounded/shorted Re, would Ve/Vs still = \(\text{\frac{V_e}{V_s}=\frac{R_E(1+h_{fe})}{R_B + h_{ie} + R_E(1+h_{fe})}}\) ?
 

Jony130

Joined Feb 17, 2009
5,600
It's supposed to be Vc/Vs, it's just a typo.

Vc/Vs= (hfe*Rc)/{Rb + hie +(Re*1+hfe)}

Although technically wouldn't Vc/Vs = Vc/Vb since R1, and R2 are ignored?

OK, now every thinks looks good except one small detail.
The voltage gain Vc/Vs is negative because transistor in common emitter configuration have 180 degree phase shift.
When the base current increases the collector current also increases.

As you can see when input voltage is increasing ( base current also) the Vce voltage decrease. So we have 180 degrees out of phase (negative gain).
 

Thread Starter

lam58

Joined Jan 3, 2014
69
OK, now every thinks looks good except one small detail.
The voltage gain Vc/Vs is negative because transistor in common emitter configuration have 180 degree phase shift.
When the base current increases the collector current also increases.

As you can see when input voltage is increasing ( base current also) the Vce voltage decrease. So we have 180 degrees out of phase (negative gain).
Ahh ok, I see. Thanks:)
 
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