Op-Amp: Gain Bandwidth Product and Frequency Response
In this video, the frequency response and the gain bandwidth product of an op-amp have been discussed.
Gain bandwidth product is a very important parameter of the op-amp. And it is quite often used for selecting specific op-amp for the particular application.
Frequency Response of the op-amp:
In open loop configuration, the gain of the op-amp is not constant and varies with the frequency. The gain of the op-amp remains constant up to the certain frequency and beyond that, it reduces at the constant rate of -20 dB/dec.
In open loop configuration, the bandwidth of the op-amp used to be very low (Few Hertz), because most of the today's op-amps are internally compensated. (By using the internal compensation capacitor)
This internal compensation ensures the stability of the op-amp output at high frequency when op-amp is used in the feedback configuration.
And second, it ensures that op-amp has a single cut-off frequency at till its gain reaches the unity gain.
Gain Bandwidth Product of Op-amp:
Because of the internal compensation, it is easy to identify the frequency of the operation if we know the gain of the op-amp. Or it is easy to understand the behavior of the op-amp with frequency.
And the product of gain and frequency remains constant till the unity gain frequency for the op-amp, which is known as the gain bandwidth product of the op-amp.
Gain bandwidth product is very useful when op-amp is used in the closed loop configuration. Using this closed loop configuration, we can find the cut-off frequency of the op-amp using this gain-bandwidth product.
For any op-amp gain bandwidth product = Unity Gain Frequency.
The timestamps for the different topics covered in the video is given below:
0:33 Frequency Response of the Op-Amp
1:25 Role of Internal Compensation Capacitor in the Frequency Response of the Op-amp
2:58 Gain Bandwidth Product of Op-Amp
5:40 Gain Bandwidth Product of Non-Inverting and Inverting Op-Amp
This video will be helpful to all students in understanding the frequency response and the gain-bandwidth product of the op-amp.
The link to the related videos on the op-amp:
Introduction to Operational Amplifier:
• Introduction to Operat...
Inverting Op-Amp:
• Operational Amplifier:...
Non-Inverting Op-Amp:
• Operational Amplifier:...
Op-Amp Integrator
• Op-Amp Integrator (wit...
This video will be helpful to all students of science and engineering in understanding the working of op-amp differentiator.
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The timestamps for the different topics covered in the video is given below: 0:33 Frequency Response of the Op-Amp 1:25 Role of Internal Compensation Capacitor in the Frequency Response of the Op-amp 2:58 Gain Bandwidth Product of Op-Amp 5:40 Gain Bandwidth Product of Non-Inverting and Inverting Op-Amp
@anujkondhalkar9776
6 жыл бұрын
ALL ABOUT ELECTRONICS You rocks.🤘 Great job.
@nitesh3507
Жыл бұрын
5:55 sir did u provide a dervaition of bandwidth of inverting and non-inverting amplifier?
i finally found this indian tutorial, thank god, how was I supposed to learn in any other way
Hi from Vermont! I like this style of presentation where it's practical, graphical with good narration. Also you finished thoughts at about the right point for me. I found it helpful to pause periodically and write it down for myself and contemplate a bit. Thanks!
No waste of time "concise,precise and sharp to the point " excellent
Ur explanation is like brahmin reading slokas!! U gave a breathless speech ! It's awesome and knowledgeable but y such hurry!! Please kindly Give us some time to understand the lecture.
@fanboy249
Жыл бұрын
Brahmins are meant read slokas 🥵 ! Typical North Indian caste proud girl 👧 shame on you
@iamnoob8536
Жыл бұрын
Watch at 0.5X speed🙂
@robinmahanta3633
Жыл бұрын
Uske liye college professors hai Madam 🙂
@Shatrudhan9507
Ай бұрын
Ryt
01:31 Op-Amp has a low cutoff frequency and internally compensated with composition capacitors. 02:44 Op-amps are internally compensated to ensure stability at high frequencies and have a low open-loop bandwidth. 03:56 The gain bandwidth product of an op-amp determines the cut-off frequency in a closed-loop configuration. 05:06 The gain bandwidth product of the op-amp is 10^6 Hz. 06:13 The cutoff frequency of an op-amp depends on its gain. When the gain is high, the cutoff frequency is equal to the unity gain frequency. But when the gain is low, the cutoff frequency differs between inverting and non-inverting configurations. 07:31 The cutoff frequency of an op-amp configuration is equal to the unity gain frequency divided by the closed loop gain. 08:42 Using multiple stages of identical op-amps increases the bandwidth while maintaining the same gain.
Excellent presentation. Thank you for the tip on using two stages.
It feels like this is guy is reading fastly from some book. Whatever I got the concept that's what matters in the end. Thanks
BW is decreases when we use multiple op amp cascaded and you are saying that we can use high Band width product or multiple op amp to increase BW. It is decreased to 64KHz from 100KHz
@sushanttiwari3078
4 жыл бұрын
yup that didnt make any sense at all.the first point of choosing a opamp with high gbp was clear but on cascading it the bandwidth reduced
@ashish1301
4 жыл бұрын
@@sushanttiwari3078 Look at @8:04 and then at @9:20. Using the same Opamp BW increased from 10kHz to 64kHz. Hope this helps.
@farhanupaul
4 жыл бұрын
100KHz was for open loop unity gain bw, not for the closed loop. For closed loop it was 10KHz and was improved to 64KHz.
Thank you for another flawless and perfect explanation on OP-AMP characteristics !
At 6:12 you said that "I will provide a separate note for the derivative in the gain band width " plz provide it sir .
@eugene7922
3 ай бұрын
Is there any update on this one, @ALLABOUTELECTRONICS?
Congrats for your work! During this video presentation I think you can differentiate Gain (notated with A[dB]) from Amplification (Vout/Vin). I think you mix them using the same "A" notation for both of them, as depicted at 4:24 (for example). Good luck!
this video is way better explained than uni lecturer , good job
@9:30 Bandwidth of op amp in reduced by cascading, it GBW product which is increased.
@architdongre1372
6 жыл бұрын
true
@architdongre1372
6 жыл бұрын
Let's say you are using a single op-amp which has a gain-bandwidth product of 1 MHz. And you want to attain the gain of 100. In that case, the maximum frequency of the signal should be less than 10 KHz. (1MHz/100). So, effectively you can not amplify the signal which has frequency more than 10 KHz. On the other hand, if you amplify the signal in two stages, using two op-amps then you can achieve the same gain of 100 through 2 stages. At the same time you can also increase the effective bandwidth of the two stages. (i.e 64 KHz)
@moiz6164
4 жыл бұрын
@@architdongre1372 its 6.4kHz and not 64kHz.
@deepanshumahour3318
3 жыл бұрын
@@moiz6164 it's 64khz...go by the formula. Also, each stage now has the gain of 10, not 100 (gain for 1 stage)
Please use 'Roll Off freq' .. Amplifiers don't just 'Cut Off' . The subscript of A-CL and f-CL is standard notation for 'Closed Loop'
by adding two idential opamps bandwidth is decreasing,with one opamp it is 100KhZ ,with 2 opamps its 64Khz..did i miss anything here?
@straydogg56
3 жыл бұрын
I was a bit confused at first too. The aim is to get a gain of 100. Since the GBP is 1 MHz this results in a bandwidth of 10 kHz if one stage is used. However if you use two stages each with a gain of 10 you achieve the gain of 100 and a BW of 64 kHz according to the formula.
@manjilapandey9589
5 ай бұрын
@@straydogg56 then the gbp changes? if not,then gain is not 100
isn't the bandwidth decreased when two stages of the opamp is used??
Thank you for this wonderful explanation. You inspire us. I want to go buy some op-amps and build a circuit :). thanks dude.
in this video i learnd about omething which i ree ted
I believe u made a small mistake at 9:13 .. Previously we found f_cl = 10 kHz bandwidth.. not 100 khz . Thank you for the amazing videos!
@ketanprajapati9337
5 жыл бұрын
its maximum gain÷root 2 and then u measure the value its near come to 100khz
Thanks for valuable video, which clear the concepts and save the time from surfing lots of websites
Very well Narration
I do not understand how putting two op amps in series will increase the bandwidth The value of the fc is 100kHz and putting them together makes it 64kHz.. i do not understand how it increased? Sorry am new to this Referring to the last part
@ALLABOUTELECTRONICS
6 жыл бұрын
Let's say you are using a single op-amp which has a gain-bandwidth product of 1 MHz. And you want to attain the gain of 100. In that case, the maximum frequency of the signal should be less than 10 KHz. (1MHz/100). So, effectively you can not amplify the signal which has frequency more than 10 KHz. On the other hand, if you amplify the signal in two stages, using two op-amps then you can achieve the same gain of 100 through 2 stages. At the same time you can also increase the effective bandwidth of the two stages. (i.e 64 KHz) I hope it will clear your doubt. If you still have any doubt then do let me know here.
@sumitabhabanerjee1338
6 жыл бұрын
The cutoff frequency decreases, hence the bandwidth increases
@bhushan326
5 жыл бұрын
Note that gain is increased from 10kHz to 64kHz.
@neerajhebbar7313
5 жыл бұрын
@@ALLABOUTELECTRONICS thank you so much sir thank you
@amitghosh3938
5 жыл бұрын
@@sumitabhabanerjee1338 I don't think so can you justify your answer
his 10 minute video is equal to my 1 hour lecture in uni.😅
God bless you
Fc= corner frequency , may be not cut off ? (1:10)
Thank u sir for the video
Please make video on transistor...as soon as possible
Respected sir.Instead of speaking continuously,write something that you speak .. So that everyone will understand what u are speaking. Thank u ❤️
@ALLABOUTELECTRONICS
3 жыл бұрын
Yes, got it. I have already put some notes on the website for some opamp topics so that one can refer it if find any difficulty while watching the video. You will find the link on the channel page.
A Superb video
You are absolutely amazing
awesome thank you!
Longest intro ever. Nice content btw
Sr... If u can then pls solve some jam questions based on that topic
@ALLABOUTELECTRONICS
4 жыл бұрын
will cover it soon in the daily Quiz.
Why gain is 1? according to the curve the gain should be 0 the value of y in the x axis =0 But u r saying unit voltage gain at A=0 How
@ALLABOUTELECTRONICS
4 жыл бұрын
The gain on the y axis is in dB
@riyabaidya3258
4 жыл бұрын
When f =10^6 A=0 Den why unity gain? @9:57 Gain is not 1 according to ur curve
@riyabaidya3258
4 жыл бұрын
It should be 1,1 The curve should be strt from 1,1 Not from 0,0 Cz its a logarithmic curve And log0= doesn't exist
Is gain bandwidth product is only applicable for op-amp consisting capacitors either in feedback or input ckt because in simple ckt there is no one components whose parameters depends upon frequency.
what is meaning of overall cutoff frequency?,@8:57
Nice video...but the Gain Vs Freq graph..is wrong
What if f(cl) of both op amps is different then how to calculate overall cut off frequency??
Deravation for non-inverting and inverting Op-amp ❓
Nice
U r too much fast & is very difficult to understand,,, please go slow We r not as meritorious like u
@sanjaygoyal5395
5 жыл бұрын
i am runnin dis video in 1.5x speed!!!!! lol
@VinayThakur-og8qq
5 жыл бұрын
@Ayon ghosh u r right
@nimish579
4 жыл бұрын
You r slow bro
@thawedmind
4 жыл бұрын
It is fast, and I have to watch the video multiple times, but he is very concise. Everything you need for a very detailed understanding is in his videos. Sometimes you have to go back and watch previous videos. However a Glossary of all the terms and their meanings would be really helpful.
What if I use two opamps with different closed loop gain.how to find overall cut off frequency?
@ALLABOUTELECTRONICS
3 жыл бұрын
I will cover it in the upcoming examples on the second channel.
please give the complete note of the derivation....which were promised by you in video.
At 4:44 you said below the cutoff frequency gain is constant but by seeing the graph it's varying. What is it?
@asifistiakanik
4 жыл бұрын
the product of gain and frequency is constant. But gain will reduce
Nice video sir
Make a video on feedback amplifier, differential amplifier using bjt soon sir
@ALLABOUTELECTRONICS
4 жыл бұрын
It will be covered soon.
Could have mentioned something about 3dB half power point.... Could have done it better
Is there any relationship between the open loop and closed loop gain of an Op-Amp?
Why non inverting is preferable when gain is low?? Please answer
Nice one bro👍
Unable to understand wt u r saying keep going slow
@jacobtennyson6186
3 жыл бұрын
Watch the video at x0.75 speed bro.....
Frequency response of opamp is similar to response of LPF
I am not educated with electronic . I am looking for low gain amplifier for my 5.1 decoder. For soft sound . I hear tda or TPA series but don't like them due to sharp sound . So I looking for bi- amp development my self. According I am wish 50 watts for tweeter and 80 watts for woofer. How can I achieve my goal ??? Any alternative teqnic to solve my problem.
Does this lecture is enough to write in examination?
@mickyman753
3 жыл бұрын
yup
@sivabalankaruthapandi7262
3 жыл бұрын
Very very late reply..still I passed my exam..Thank u 🤗
for the any op amp gain and b.w is different but when we use 2 stage or cascade op amp then why always gain. B.W product is constant ?????
Where are the notes that you are gonna to provide soon as per the lecture????
9:34 how the bandwidth is increased as fcl is 100kHz and fcl' is 64kHz?
@ALLABOUTELECTRONICS
4 жыл бұрын
If we try to get the gain of 100 using single op-amp, then cut-off frequency is 1Mhz/100 = 10 kHz. While using two stages with each having gain of 10, overall cut-off frequency of the overall circuit ( two pair of opamp) is 64 kHz. So, with this configuration, it can be operated till 64 kHz instead of 10 kHz. I hope it will clear your doubt.
@bharath_rbp
4 жыл бұрын
@@ALLABOUTELECTRONICS thank you sir, i got it In that timestamp frame, there is a typo mistake as 100kHz instead of 10kHz Then this will justify 64>10kHz
Plz remove subtitle it is covering a lot of space
@ALLABOUTELECTRONICS
5 жыл бұрын
You can turn off the subtitles in the setting.
It's great. However, a little bit too fast. Electronics is something that I actually don't like and have to study. So your preciseness is working like a charm to me... however a little more patience would have been better
@ALLABOUTELECTRONICS
Жыл бұрын
Yes, I have considered that suggestion and slowed down a little on the new videos. Probably you can watch these old videos at 0.75 x speed.
I am not educated with electronic . I am looking for low gain amplifier for my 5.1 decoder. For soft sound . I hear tda or TPA series but don't like them due to sharp sound . So I looking for bi- amp development my self. According I am wish 50 watts for tweeter and 80 watts for woofer. How can I achieve my goal ??? Issue how to collaborate two different amp with diffrant gain? It's possible to develop amps as per requirement with both gain will be same below 20 dB is this possible ????
Where is the separate note for the derivative ?
Where is the derivation for inverting Op- Amp GBW?
how did you get 10 to 5 power???
@aakashrana1524
5 жыл бұрын
Antilog, 20logA=_ db
UR GOING TOO FAST....pls if u have time record this session again.tnx
Bro Can you please make video on everything on zigbee. Needed.
Sir, understood all the topics well,but this video i m trying to get,but don't know why i m not getting it well. Sir my 1st question is ,why do the gain of an op-amp circuit only involving resistances too depend on frequency...and how exactly this depend on frequency?is it only because of some internal structures as you said?? Please help sir🙏
@ALLABOUTELECTRONICS
2 жыл бұрын
Yes, that's because of the op-amp internal structure. As I mentioned in the video, even without any external resistor, in the open-loop condition also the op-amp has a certain frequency response (The exact response depends on the poles and zeros of the op-amp structure). At very low frequency, it provides very high open-loop gain, and the frequency increases, the gain reduces. With external resistors,the closed-loop gain reduces. For more info, please check this article: www.allaboutelectronics.org/gain-bandwidth-product-of-the-op-amp/
I can tell this video would answer my questions if the writing was clearer and the accident was a lot less.
why does an inverting opamp with a purely resistive arrangement have a frequency response?
@uzairmughal4976
3 жыл бұрын
That Op-Amp itself has a frequency response. Ideally an Op-amp should have infinite bandwidth, but this is not the case with practical ones, so an Op-Amp is not an ALL Pass Filter, but a wide band LPF. Therefore, it has a frequency response mainly due to the BJTs used to manufacture that IC.
Awesome thank you!
1:15 cut off frequency is given where gain reduce by 3 dB but also, from fc gain reduces by 20 dB/dec. which is true?
@theacademyofphysicssouravp5474
4 жыл бұрын
3dB means 70.7% of maximum gain or 1/√2 times of maximum gain
neso academy jaisa nhi h
UR GOING TOO FAST
@jacobtennyson6186
3 жыл бұрын
Watch the video at x0.75 speed bro..
in the end of the lecture the cut off frequency is reduced from 100khz to 64 khz .So actually the bandwidth is reduced.But u said that it will increase. How?
@ALLABOUTELECTRONICS
3 жыл бұрын
If we try to get the gain of 100 using a single op-amp, then the cut-off frequency is 1Mhz/100 = 10 kHz. While using two stages with each having gain of 10, the overall cut-off frequency of the overall circuit ( two pairs of opamp) is 64 kHz. So, with this configuration, it can be operated till 64 kHz instead of 10 kHz. I hope it will clear your doubt.
@dungaajay6085
3 жыл бұрын
@@ALLABOUTELECTRONICS yes.Thank you sir
Sir at 4:24 we draw the straight horizontal line with gain 40 drawn in the "open loop FR" to get the frequency upto which it gives constant gain of 40 in closed loop configuration right??? Thanks
@ALLABOUTELECTRONICS
4 жыл бұрын
Yes, correct.
@abhijithanilkumar4959
4 жыл бұрын
@@ALLABOUTELECTRONICS thanks
Sir what is meant by constant gain. i mean you have said that till now we were using constant gain and gain is constant till a certain band of frequency and after that frequency it becomes 0. Can you please elaborate it sir?
@ALLABOUTELECTRONICS
6 жыл бұрын
The gain of the op-amp is a function of frequency and the frequency response is very similar to a low pass filter. So, up to certain frequency, the gain is constant but after that it reduces and at one frequency it will become 0dB (unity gain). For ideal op-amp, the gain should be constant and bandwidth of the op-amp should also be infinite. So, if you consider ideal op-amp, then it has a very gain for all frequencies in the open loop condition. But for actual op-amp in open loop condition, the gain is constant only up to few Hz, let's 100 Hz or so. But when it is used in closed loop condition then that frequency will increase (depending upon the closed loop gain, as the gain-bandwidth product is constant) I hope it will clear your doubt.
At 3:48 in multiplying Gain and frequency how did we get 10×10^5 ? And how at 4:26 40db corresponds to 100?
@ALLABOUTELECTRONICS
6 жыл бұрын
Here, the gain is in decibel. So, if you convert it into the normal gain it will be equal to 10. A simple formula to represent gain dB is 20 log (Gain) . So, if your gain is 10, then in dB it will be equal to 20*1. If the gain is 100, then in dB it will equal to 20*2=40, and so on. For more information, you check my video on decibels. kzread.info/dash/bejne/ppVl1beNma20m7w.html
@moiz6164
4 жыл бұрын
@@ALLABOUTELECTRONICS at 9:25 by cascading two op amps the bandwidth is reduced from 100kHz to 64 kHz whereas you said that we cascade to increase the bandwidth. Please explain ??
How to reduce a bandwith? Any idea?
@ALLABOUTELECTRONICS
4 жыл бұрын
I didn't get your question. But if you increase the gain of the op-amp, then bandwidth of the op-amp will reduce.
sir will you please explain in the example how does he get 10 power 5
@maggotbrain7499
3 жыл бұрын
100 = 20log10^5
ARE bhai gain either 0 hoga ya kuch aur hoga unity kaise hoga
At 4:14 , I didnt understand how 40 dB correspond to 100. Can someone explain please.
@ALLABOUTELECTRONICS
4 жыл бұрын
Voltage gain in dB = 20 log (Av) So, here the gain dB is 40 dB. That means log (Av) = 2, or Av = 10^2 = 100. For more information of dB (decibels) please check this video: kzread.info/dash/bejne/ppVl1beNma20m7w.html
@unknownuser927
4 жыл бұрын
@@ALLABOUTELECTRONICS OK. Thanks for explaining.
3dB
Notes please .
why exactly at -20dB it will decrease or increase??
@ALLABOUTELECTRONICS
3 жыл бұрын
Its because of the internal compensation capacitor. It adds one pole in the transfer function. Because of that, it reduces at -20 dB / dec. Its similar to the first order low pass filter, where in the frequency response, the gain starts reducing at the rate of -20 dB/ dec after -3dB frequency. I hope it will clear your doubt.
How come bandwidth is 10Khz or 64 Khz??It should be Fu-Fc. Right??
@ALLABOUTELECTRONICS
5 жыл бұрын
This cut-off frequency is found from the gain-bandwidth product. Because the gain -bandwidth for the op-amp is constant.
@visheshmathur1219
5 жыл бұрын
@@ALLABOUTELECTRONICS Thanks I got
can u send link for notes
It is like you are reading from any where blindly.... Can you go slowly and give us some time to understand
very fast .nothing got cleared.
PLEASE INCREASE NUMBER OF EXAMPLES SOLVED ONE
@ALLABOUTELECTRONICS
4 жыл бұрын
For the solved examples, there is a seperate channel. ALL ABOUT ELECTRONICS-QUIZ. On the channel page, you will find the link. There is a separate playlist for the op-amp. In case, if you are not able to find it, let me know here.
i could not understand the concept
@ALLABOUTELECTRONICS
2 жыл бұрын
You may go through the notes which is provided on the website. It will help you. www.allaboutelectronics.org/gain-bandwidth-product-of-the-op-amp/
What?? U point to fc =10 and then say that gain =10^5... How?
@ALLABOUTELECTRONICS
3 жыл бұрын
Because according to graph, when fc - 10 Hz, the gain is 100 dB. If you convert dB to gain, then it is 10^5. Gain in (dB) = 20 log (Gain) I hope it will clear your doubt.
@jamesacosta6090
3 жыл бұрын
@@ALLABOUTELECTRONICS thank you for your kind response. I get it now.
Define gain bandwidth in 2-3 lines simply anyone ?
100 kHz to 64 kHz how it is an increase
@ALLABOUTELECTRONICS
4 жыл бұрын
If try to get the gain of 100 using single op-amp, then cut-off frequency is 1Mhz/100 = 10 kHz. While using two stages with each having gain of 10, overall cut-off frequency of the overall circuit ( two pair of opamp) is 64 kHz. So, with this configuration, it can be operated till 64 kHz instead of 10 kHz. I hope it will clear your doubt.
@kirankumar5868
4 жыл бұрын
Thank you very much
Content good but he speaks fast
ye lecture me kuch samajh ni aya
Can you please.... Go slowly... It is hard to catch your voices
plz share your ppts
Sir Please go slow😭
@ALLABOUTELECTRONICS
Жыл бұрын
I have considered that suggestion and lower the speed in the recent videos now. But you can watch the old videos at 0.75x speed, if you feel it’s fast. :)
what about open loop gain sir?
@ALLABOUTELECTRONICS
6 жыл бұрын
Gain bandwidth for the op-amp is defined for open loop gain only (In datasheets). In fact, as discussed in the video, it is the product of open loop gain and the unity gain frequency. So, in open loop configuration if you are operating at DC or low frequency then the gain of the op-amp will be equal to open loop gain (As defined in the datasheet). And as the operating frequency increases, the open loop gain reduces. (As shown in the graph in the video). I hope it will clear your doubt. If you still have any question then do let me know here.
@masterq5547
6 жыл бұрын
ALL ABOUT ELECTRONICS yes sir now it is all clear to me.....thank you sir
How to find bandwidth?
@ALLABOUTELECTRONICS
3 жыл бұрын
You mean the bandwidth of op-amp or the bandwidth in general ?
@rajatkinlekar627
3 жыл бұрын
Bandwidth in general
@rajatkinlekar627
3 жыл бұрын
I mean when we use that fcAcl=fu
@ALLABOUTELECTRONICS
3 жыл бұрын
with the designed or required gain, when we need to find the maximum allowable operating frequency then this equation is useful. Gain bandwidth product of the opamp is already given in the data sheet of the opamp. Using that, and the required closed loop gain, it is possible to find fcl.