
#1
Nov1412, 01:31 PM

P: 133

can somebody teach mm
how to find desired voltage gain of ce a transistor amplifier wich is formula, i know the formula is rc:rl/re but i want for example a voltage gain of 50 for example input desired data: desired voltage gain 2.0 wich i want to know f_min = 10 HZ z_in = 50 K Z_OUT = 2k power suppply 12V now how is the formula to find r1 r2 i know to find but rc and re i dont know to find, that is my problem 



#2
Nov1412, 03:19 PM

P: 3,843

You want output to be 2K, your rc has to be 2K. You want voltage gain of 2, so you want your re≈1K. Gain=rc/(re+r'e) where r'e= 1/gm≈Vt/Ic. Vt≈25mV at 25deg C. For Ie=1mA, r'e≈25Ω. So if you use 1mA bias current, re=1K is close enough. If you choose a NPN with β>100, input impedance of the transistor is βXre≈100K, this is going to be a little tricky getting input impedance of 50K as the input impedance of the transistor is as low as 100K or higher if β is larger. What is r1 and r2? is this a voltage divider to bias the base of the BJT? If so, you want Zin=50K, then you want r1//r2=100K so you get about 50K when parallel with the input impedance of the transistor. But this is not reliable. You need to relax some requirement, if you can accept output impedance of say 20K, then re=10K and your input impedance of the transistor can by up to 1MΩ. Then you can ignore the input impedance of the transistor and make r1//r2= 50K. For fmin, C=1/(2πRf) where R=50k input impedance, f=10Hz. 



#3
Nov1512, 04:17 AM

P: 133

thnx for reply very good
but can i ask you one question if you can explain in similary way what for example, i want to desigin a amplifier with gain of 50, how can i design? for example me i design a amplifier in the end i get other gain, and i want a gain of 50 can you teach me how to do it, to get desired voltage 



#4
Nov1512, 05:04 AM

HW Helper
P: 4,715

please help transistor amplifierBut whatever voltage gain you need, for each stage you still use the equations that yungman provided, viz., 



#5
Nov1512, 05:11 AM

P: 133





#6
Nov1512, 08:34 AM

P: 133





#7
Nov1512, 06:02 PM

HW Helper
P: 4,715

michael1978, you might find this thread useful, including the URL I provide of a reference for common emitter amplifier calculations : http://physicsforums.com/showthread.php?t=644679




#8
Nov1512, 06:25 PM

P: 3,843

For example, say if you keep Zout=2K, rc has to stay at 2K. Say if rl=2K, then rc//rl=1K. To get a gain of about 2, re=475Ω ( as for Ie=1mA, r'e=25Ω). But then, you have to worry about Zin as Zin=β(re+r'e)≈50K!!! That is not a reliable value. 



#9
Nov1612, 12:46 PM

P: 133





#10
Nov1612, 01:11 PM

P: 3,843

As I assume Ie=1mA, r'e=25Ω. rc//rl=1K. For gain of 2, re+r'e=500Ω so re=475Ω. 



#11
Nov1612, 02:05 PM

P: 133

what i have to do to get r'e=25Ω, like this 25m:ie 1ma = 25ohm 



#12
Nov1612, 02:46 PM

P: 3,843

Remember this formula r'e=25mV/Ic. If you use 2mA, r'e become 12.5Ω. If you use 0.5mA, r'e become 50Ω. You get the drift? Don't try to get precision gain using transistor, it drift a lot with temperature and different device even of the same name.( even using 2 different 2N2222 give you slightly different gain). That's the reason, using approximation is very good already. You want precision, you need closed loop feedback like an opamp. 



#13
Nov1612, 03:53 PM

P: 133





#14
Nov1612, 05:52 PM

P: 3,843

http://en.wikipedia.org/wiki/Bipolar...ion_transistor Unless you really get into semi conductor physics, 25mV is good enough. I pretty much designing IC( actually all transistor circuits inside) using this approximation those days and it worked. One thing I did not mention, you don't want to get gain of 50 out of one stage. Remember I show you how to calculate the Zin and Zout? You want Zout=2K, for gain of 50, the re+r'e=40Ω, that is low, then your Zin=βX(re+r'e)≈4000Ω. You cannot get Zin = 50K!!! Even if you can get the impedance you want, there are more limiting factor that you have not deal with, one namely Miller Effect that the circuit slow down as the gain goes up. These are a lot more important in real life than the Vt. If you want gain of 50, divide the gain into 2 separate stages of about 7 each. 



#15
Nov1612, 06:13 PM

P: 389

If you want to be utterly pedantic about r'e
[itex]\Large re =\frac{dVbe}{dIe} = \frac{Vt}{Ie}[/itex] And Vt we assume 25mV or 26mV http://en.wikipedia.org/wiki/Boltzma...hermal_voltage And transconductance gm [itex]\Large gm= \frac{Ic}{Vt}=\frac{Ic}{Ie}*\frac{Ie}{Vt}= \frac{\beta}{\beta+1}*\frac{1}{re}[/itex] 



#16
Nov1712, 05:42 AM

P: 133

thanx for help, is enough for begin
do you know any good book about electronics transistor because now i am reading electronics principles by malvino 



#17
Nov1712, 12:14 PM

P: 3,843

You better read the part about Vt again, it's all there. 



#18
Nov1712, 02:05 PM

P: 133




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