DC analysis on this NPN BJT

Thread Starter

u-will-neva-no

Joined Mar 22, 2011
230
Hello everyone. Would it be possible to check my analysis for my attached circuit?

Here is my analysis:

The question states that B is 200 and that Vbe = 0.7v.

From the graph, vb = 0v, because it is grounded. Therefore:
Vbe = Vb - Ve
0.7 = 0-Ve
Ve = -0.7V

Now to find IE. using ohms law I have:
Ve - (-10v) = IE*RE
(-0.7)+10 = IE *10K
IE = 0.93mA

finding IC by using the formula IC = αIE
α=β/(β+1)IE
α = 200/201* 0.93mA
IC = 0.925mA

Finding Vc using omhs law again
Vcc -Vc = ICRC
10-Vc = 0.925mA * 10k
Vc = 0.75V

I would just like to know if my method is correct, because my teacher has completely different values! Thanks.
 

Attachments

Jony130

Joined Feb 17, 2009
5,488
You forgot about RB resistor in you analysis and the base current.
VEE - Vbe = Ie*Re + Ib *Rb
And for me the BJT will be in saturation

EDIT
I do simply calculation
And I got
Ie = 886uA; Ic = 881.6uA;
And the BJT for sure is in active mode
 
Last edited:

jegues

Joined Sep 13, 2010
733
The question states that B is 200 and that Vbe = 0.7v.

From the graph, vb = 0v, because it is grounded.
You are confusing the where the voltage at the base is.

I've attached a figure to help clear up your confusion.

You can write a KVL in the BEJ loop and solve for Ic, Ie or Ib, whichever you prefer. (Exactly like what Jony130 has demonstrated for you)

If you find that they are nonzero then certainly VB is nonzero as well.
 

Attachments

Thread Starter

u-will-neva-no

Joined Mar 22, 2011
230
Ok I think I understand it now. I am going to try to explain what I think is going on, so that I can apply it to different examples in the future.

Just to explain some of my thoughts to different problems, say I wanted to calculate the current flowing through the collector, i would do something like Vcc - Vc = ic* Rc and rearrange. If I wanted to find the current ie, i would do something like Ve - VEE = ie*Re.

from these two approaches, i would do VEE - Vbe = Ib + Ie (1). Am i correct to say that there is a pattern, such that you must go in a clockwise direction for the Vcc - Vc,
Ve - VEE and VEE - Vbe part?

Now, im picturing that we are interested in the current Ib and current Ie, hence why we get the Ib + Ie part in equation (1)? Let me know if this is the correct way to visualise it :)
 

jegues

Joined Sep 13, 2010
733
For the BJT we always need to find Ib or Ie first.
I don't think this is true.

You can solve it in whatever order/manner you choose (I could solve for Ic first if I choose to do so) as long as your results are correct.

After doing so, you must check to see that any assumptions you've made during the initial analysis are valid. (i.e. assuming active mode)
 

Thread Starter

u-will-neva-no

Joined Mar 22, 2011
230
@Jony130, using the formula VEE - Vbe = IeRe IbRb, and also, Ib = Ie/(B+1), i get:

VEE-Vbe = IeRe + (Ie/(B+1))*Rb

-10 -0.7 = Ie (Re + Rb/(B+1))

Ie = -1.02mA....Im clearly doing something wrong...
 

jegues

Joined Sep 13, 2010
733
@Jony130, using the formula VEE - Vbe = IeRe IbRb, and also, Ib = Ie/(B+1), i get:

VEE-Vbe = IeRe + (Ie/(B+1))*Rb

-10 -0.7 = Ie (Re + Rb/(B+1))

Ie = -1.02mA....Im clearly doing something wrong...
When I write a KVL I find that,

\(I_{b}R_{b} + V_{be} + I_{e}R_{e} + V_{ee} = 0\)

\(\Rightarrow I_{e} = \frac{-V_{ee} - V_{be}}{\frac{R_{b}}{\beta + 1} + R_{e}}\)

But it is not clear how the Vee source is hooked up, so it could change by a negative sign.
 

Thread Starter

u-will-neva-no

Joined Mar 22, 2011
230
jegues, your answer is correct. My problem is that the formula is different to Jony130's which is what I understood. Could you explain me how you obtained your KVL?

Jony130's formula would work if i took my Vee value (-10v) as just 10v, but i dont think i should be doing that...
 

jegues

Joined Sep 13, 2010
733
jegues, your answer is correct. My problem is that the formula is different to Jony130's which is what I understood. Could you explain me how you obtained your KVL?

Jony130's formula would work if i took my Vee value (-10v) as just 10v, but i dont think i should be doing that...
It was a simple application of KVL.

Why don't you make an attempt of drawing the voltages and their respective polarities around the BEJ loop.

If there is any problems, someone will correct you.
 

Thread Starter

u-will-neva-no

Joined Mar 22, 2011
230
Oki doki, my picture is attached. Its practically exactly the same as Jony130's representation (Just a lot messier). Anyway, from my diagram, I have VEE in a clockwise direction whereas all the other voltages are in an anticlockwise direction. Therefore, i am not getting the same formula as Jegues..
 

Attachments

jegues

Joined Sep 13, 2010
733
Oki doki, my picture is attached. Its practically exactly the same as Jony130's representation (Just a lot messier). Anyway, from my diagram, I have VEE in a clockwise direction whereas all the other voltages are in an anticlockwise direction. Therefore, i am not getting the same formula as Jegues..
Here is my drawing of my KVL.

I cannot make it any clearer than this. This is nothing but a basic application of KVL.
 

Attachments

Jony130

Joined Feb 17, 2009
5,488
For your circuit
http://forum.allaboutcircuits.com/attachment.php?attachmentid=30547&d=1305406350

Vee = -VRB + Vbe - Vbe

But you have VEE in a clockwise directions so Vee = 10V
You are measure the voltage across Vee withe respect to minus terminal of a Vee and Vbe = - 0.7V

Ie = Vee + Vbe/ ( Re + Rb/(β+1) = (10V + (-0.7V))/ (10K + 497.5Ω) = 9.3V/10.497K = 886uA

I don't think this is true.

You can solve it in whatever order/manner you choose (I could solve for Ic first if I choose to do so) as long as your results are correct.

After doing so, you must check to see that any assumptions you've made during the initial analysis are valid. (i.e. assuming active mode)
BJT is a current control current source, so to find Ic you need to know Ib or Ie first.
 

t_n_k

Joined Mar 6, 2009
5,455
In principle the same equation can be translated to immediately solve for any of the three interdependent values Ie, Ic or Ib. The original equation itself explicitly accounts for the functional controlled source.

So, per Jony130's notation

\(I_e=\frac{V_{ee}+V_{be}}{R_e+\frac{R_b}{1+\beta}}\)

\(I_b=\frac{V_{ee}+V_{be}}{(1+\beta)R_e+R_b}\)

\(I_c=\beta \frac{V_{ee}+V_{be}}{(1+\beta)R_e+R_b}\)

Certainly in that sense one may immediately solve for any of those values - as desired. Obviously, one must firstly form the correct algebraic equation for the solution to be valid.
 
Top