Op-Amps - Using Operational Amplifiers

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  • เผยแพร่เมื่อ 13 พ.ค. 2024
  • Op-amps are like analog building blocks; you can create almost anything with them. Today, we’ll learn how to use these versatile components, alone and with an Arduino.
    Article with code: dronebotworkshop.com/op-amp
    More articles and tutorials: dronebotworkshop.com
    Join the conversation on the forum: forum.dronebotworkshop.com
    Subscribe to the newsletter and stay in touch: dronebotworkshop.com/subscribe/
    Operational Amplifiers, or “op-amps,” were initially designed for use in analog computers back in the 1940s. In fact, the “operational” in the name is a reference to the op-amp's ability to perform mathematical operations on voltages, which is how analog computers represent numbers.
    Op-amps have been available in integrated circuit (IC) format for nearly 60 years and have become a vital component in analog electronic design. There are two reasons for their popularity:
    1 - They are versatile - Op-amps can be configured into dozens of basic circuits.
    2 - They are inexpensive - Op-amps are pretty cheap! One of the devices we will look at today costs about 10 cents per op-amp.
    You can also use operational amplifiers to “glue” analog and digital electronics; in fact, one of the demos today uses an op-amp with an Arduino.
    Aside from that, we’ll also learn how op-amps work, how to configure them into several basic “analog building block” circuits, how to build a light-sensitive switch using them, and how to turn a single power supply into a dual one using an op-amp.
    Here is the Table of Contents for today's video:
    00:00 - Introduction
    02:20 - Operational Amplifiers
    12:14 - Popular Op-Amps
    16:17 - Op Amp Basic Circuits Hookup
    18:32 - Voltage Follower (Buffer)
    21:03 - Inverting Amplifier
    22:36 - Non-Inverting Amplifier
    24:06 - Low-Pass Filter
    25:53 - High-Pass Filter
    27:33 - Square & Triangle Wave Generator
    29:22 - Op Amps with Arduino
    34:58 - Light-Sensitive Switch
    38:00 - Single to Dual Power Supply
    42:13 - Conclusion
    One other thing to note is that “classic” components, like op-amps, didn’t seem to be affected by the global chip shortage. One more reason to consider using them in your designs!
    Hope you enjoy the video.
    Bill
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ความคิดเห็น • 265

  • @Dronebotworkshop
    @Dronebotworkshop  3 หลายเดือนก่อน +11

    Hi everyone - It's come to my attention that there has been someone masquerading as myself, responding to some comments here with a link to a Telegram chat to win a prize from me. THIS IS A SCAM, I am not holding a contest, nor do I have a Telegram account. PLEASE DO NOT RESPOND TO THESE MESSAGES!!
    It's happening on a lot of my videos, I'm taking steps to remove them manually, but as I have 162 videos, it will take some time. If you do run across a suspicious comment, I would appreciate you letting me know at info@dronebotworkshop.com.
    Thanks!
    Bill (The real one!)

    • @guyprovost
      @guyprovost 3 หลายเดือนก่อน +1

      Yep, just got one and reported it.

    • @DownhillAllTheWay
      @DownhillAllTheWay 3 หลายเดือนก่อน +1

      Thanks for posting this. I got the "prize" response, but I was pretty ssure it was a scam. Nobody offers prizes to somebody who never joined the competition unless they are expecting to get something out of it. Did you ever hear the upshot from anybody biting at the bait?

    • @korrige1
      @korrige1 หลายเดือนก่อน

      Ok Sir

  • @Dronebotworkshop
    @Dronebotworkshop  ปีที่แล้ว +130

    Sorry for taking SO long to get another video out, as many of you are aware, we had an ice storm last month that cut my power off for 5 days, and dropped a tree onto my house and another one onto my car. So lots of interruptions while we got that sorted out, and it delayed me from working in the workshop. The tree is off the house now, and I have a rental while the car is being repaired, so I should have another one out shortly. Hope you enjoy this one!
    Bill

    • @justmc62
      @justmc62 ปีที่แล้ว +10

      Glad you are safe... Mother Nature can really show who's boss. Thanks for the update and the new tutorial.

    • @AliHussein-bb3ie
      @AliHussein-bb3ie ปีที่แล้ว +4

      Sorry to hear that 😢

    • @user-mr3mf8lo7y
      @user-mr3mf8lo7y ปีที่แล้ว +2

      Glad you sorted out.

    • @stevesopenrocket
      @stevesopenrocket ปีที่แล้ว +5

      Wow! Glad to see you are safe! As usual, an excellent video.

    • @jwtfpv8957
      @jwtfpv8957 ปีที่แล้ว +1

      Hi Bill, Hope you sort everything out soon. Chin up. Cheers Jase :)

  • @ingoschmied6811
    @ingoschmied6811 11 หลายเดือนก่อน +50

    Your videos are of the highest quality! You obviously put a lot of time and effort into making them, and it is greatly appreciated.

  • @anithasshenoy6662
    @anithasshenoy6662 2 หลายเดือนก่อน +1

    This deserves appreciation. One of the best explanation of Op-Amps and demonstrations. Thank you very much.

  • @nathanielcabansay4535
    @nathanielcabansay4535 11 หลายเดือนก่อน +6

    Good day, Mr. Bill, with regards to the non-inverting amplifier, the actual formula is (1 + RF/RD) * VIN, so the actual amplifier gain when using 1k ohms as RF and 1k ohms as RD is actually 2, which explains why the output sine wave is bigger.

  • @korrige1
    @korrige1 หลายเดือนก่อน

    Mr work shop thank you for sharing your knowledge..I am from Jamaica and I found a sudden interest in electronics engineering since September last year. I am will to accept all the help I can get.. again thank you and many blessings to everyone on your channel

  • @apbosh1
    @apbosh1 ปีที่แล้ว +17

    I always try to guess the catch phrase at the beginning, I was sure you'd go for "there's a lot to gain so let's begin" I was wrong of course.

  • @jeffschroeder4805
    @jeffschroeder4805 2 หลายเดือนก่อน

    I have watched numerous explanations of operational amplifiers and this is the best. I really appreciate the documentation you make available. It makes it much easier to actually replicate your demonstrations, trying to follow along with a video is much too frustrating. Thank you for your commitment to teaching others.

  • @michaelphares7155
    @michaelphares7155 11 หลายเดือนก่อน +19

    You're like the Bob Ross of Electronics Design. I took a course in analog electronics and spent a lot of time around the theory of Op Amps, but never really got taught about some of their more practical applications. This video was great at keeping things simple, to the point, and wonderful demonstrations to accompany each example. I've liked your videos for a long time, keep up the awesome work!

  • @mikevanin1
    @mikevanin1 11 หลายเดือนก่อน +10

    The usual high standards that we've learned to expect! Great video, with flawless production.
    Sorry to hear about the devastating ice storm. It's remarkable that you could *still* produce this video. Best wishes for a speedy "recovery", Bill!

  • @JonathanDeWitt1988
    @JonathanDeWitt1988 ปีที่แล้ว +7

    Bill,
    I'm very sorry to hear about the ice storm and the damage it did to your vehicle. I'm glad you are ok! This was another wonderful video. Thank you for addressing op amps, a challenging subject. You made them a lot more approachable. Thank you also for noting that the formulas for gain are estimations and explaining why (the mention of not including impedances in the formulas). This video is going to help so many people better understand this subject.

  • @AjaxCrypto
    @AjaxCrypto ปีที่แล้ว +4

    You just made me feel really old as I remember when the 741 Opp Amp was released 1968. They were a hassle to design circuits for as they required two power supplies, both a positive and negative with a shared ground. The LM324 (1974) was so much easier to use with its single sided supply.

    • @wafikiri_
      @wafikiri_ 11 หลายเดือนก่อน

      Maaybe as old as me. I used two 741 op amps in the early '70's to build an electronic théremin, with two capacitive plates for control of tone and volume through respective variable, high frequency oscillators and superhetherodine amplifiers whose residual frecuency, in one of them, was rectified and converted into gain control for the other's audio amplifier.

  • @pixelsquarelight
    @pixelsquarelight 11 หลายเดือนก่อน +1

    I've been a long time viewer but extremely infrequent commenter. I just wanted to say that I truly and sincerely appreciate your videos. I very much appreciate your clear even comprehensible tone and explanations. I truly appreciate what a valuable tool your videos are and how much value they have brought to my project. Thank you very much

  • @pcantele
    @pcantele ปีที่แล้ว +3

    Thank you for the great explanation! I studied op amps in school back in the mid '70's, but never such a good explanation! 😀

  • @adjeiwilliam4173
    @adjeiwilliam4173 4 หลายเดือนก่อน

    Great demonstrations. Much clearer than what I learnt back at school 13yrs ago. Good job

  • @rdhunkins
    @rdhunkins ปีที่แล้ว +2

    Any new student starting Electrical Engineering should watch your videos before going to class. Understanding the principles you put forth would help when the student is presented with circuit analysis problems from a dry as bones professor. I speak from personal experience from 30 years ago.

    • @aleisterlavey9716
      @aleisterlavey9716 11 หลายเดือนก่อน

      We had a teacher as dry a it gets, but the practical experimenting (that was in the curriculum) helped a lot.

  • @Keith80027
    @Keith80027 11 หลายเดือนก่อน

    Thanks for bringing back memories from 45 years ago!

  • @kylereed3577
    @kylereed3577 ปีที่แล้ว

    Thanks Bill, another great video! Sorry to hear about your troubles hope they are resolved soon.

  • @guyprovost
    @guyprovost 11 หลายเดือนก่อน +2

    You are such a good teacher, this is mind boggling. Way better than teachers I had at university!

  • @alanh8664
    @alanh8664 11 หลายเดือนก่อน +3

    Greetings. The crkt you have at about 39 minutes, is used on B-1B aircraft. I added a small cap from the opamp output to the common emitter. This allowed a small amount of current (few mA) to flow during the opamp swing between one BE to the other BE transition. It greatly reduced "noise" and reduced the output impedance passing thru open circute etc

  • @patwicker1358
    @patwicker1358 ปีที่แล้ว

    Nice coverage Bill. You did a good job of boiling down to the essentials.

  • @jmtx.
    @jmtx. 11 หลายเดือนก่อน

    Thanks for such a clear and concise intro to op-amps!

  • @MarcelHuguenin
    @MarcelHuguenin ปีที่แล้ว +1

    Excellent video Bill, very nicely laid out, good graphics as always and great explanation. Thank you!

  • @PhG1961
    @PhG1961 ปีที่แล้ว +2

    Yeah I noticed your absence! Glad to see you're back and that everything gets sorted out. Very informative video and a nice recap of things that I almost had forgotten.

  • @jonreiser2206
    @jonreiser2206 11 หลายเดือนก่อน +1

    I’ve got to take the prerequisite class to this video. This is very obviously a super informative video. I’ve been learning a lot from this channel. There are just too many concepts and terms I haven’t learned yet. This one will go in the watch later folder.

  • @drivera0502
    @drivera0502 ปีที่แล้ว +18

    22:37 I want to offer a correction to the gain formula here. Inverting does follow the -Rf/Ri but the noninverting gain follows 1+Rf/Ri, so for setting Rf and Ri equal, the gain 2 which better matches your oscilloscope readout.
    Otherwise very informative video and of the op-amps, as I work with 5V sources a lot, I go by the MCP6022 almost religiously, using a virtual ground set at 2.5V for sinusoidal operations

    • @caffeinatedinsanity2324
      @caffeinatedinsanity2324 ปีที่แล้ว

      Good catch. I noticed that as well.

    • @Vahe.Caliskan
      @Vahe.Caliskan ปีที่แล้ว

      Good eyes! Yes, the gain should be (1+RF/RD) using the notation presented. The scope shot did show that the output was in phase and the amplitude of the output was higher than the input amplitude. With RF=RD=1k, the gain should be 2. However, it seemed that the gain was higher than 2 since the scope channels were at 50mV/div for Channel 1 and 500mV/div for Channel 2.

    • @drivera0502
      @drivera0502 ปีที่แล้ว

      @@Vahe.Caliskan i couldn't see both channel settings but they were off by a factor of 10, which I assumed was likely different probes that didn't have the proper scaling since some use 10x and others use 1x

    • @Vahe.Caliskan
      @Vahe.Caliskan ปีที่แล้ว

      @@drivera0502 I saw the volt/div settings on the lower left of the scope face and you may be correct on the probe settings.

    • @slordmo2263
      @slordmo2263 11 หลายเดือนก่อน

      Glad the 'commenters' saw that, it was a glaring error, it might not make a difference at 'higher' gains, (I.e. A gain of 101 not 100, doesn't give a big error as a gain of let's say 11 instead of 10).

  • @sikuq
    @sikuq 11 หลายเดือนก่อน

    Thank you for your single to dual voltage circuit. It works great.

  • @flashcorp76
    @flashcorp76 ปีที่แล้ว +1

    Sorry for the trouble you've had with the Ice storm, I can relate (more or less...) We've had a really heavy Hail storm around our place that caused a huge roof leak... all fixed now ! And really happy to watch your videos once again, always something informative there. Keep up the great work (and yes it takes Work !), and courage !

  • @paulchamberlain7942
    @paulchamberlain7942 9 หลายเดือนก่อน +1

    Fantastic video as always. I'm sure all your viewers hope all that storm damage is fixed as soon as possible. Picturing the storm damage in my mind led to my imagining how you may have dealt with such a testing situation. What came to mind was an incredibly calm and serene and methodical step by step resolution to all the problems. Perhaps one day you could share the story in more detail? How the interactions with the relevant parties went etc. I can only imagine your methods of dealing with this situation would be a lesson to most of the rest of us viewers too. I know I wouldn't have been calm and methodical if a tree had landed on my house and another one on my car too! I can't imagine you getting angry or losing the plot at all!

  • @c_b5060
    @c_b5060 6 หลายเดือนก่อน

    This is the absolute best Op Amp video I've ever seen. Subscribed.

  • @thomaslisson5619
    @thomaslisson5619 11 หลายเดือนก่อน

    This excellent video spares a book. You have the talent to explain complicated things simply. 👍

  • @jeffbeck6501
    @jeffbeck6501 8 หลายเดือนก่อน

    Best electronics video of all time. All different uses of an op amp including low pass and high pass filters, ...that was unexpected. I wanted to learn about op amps and active crossover circuits and this video killed many birds in one shot.

  • @tomcolby3052
    @tomcolby3052 ปีที่แล้ว +3

    Excellent explanation- will be very helpful for me in developing some circuits for hobby project.

  • @pigmanuk
    @pigmanuk 11 หลายเดือนก่อน

    Sounds like you've been having fun Bill 🙂 Great to have another video. Keep up the great work.

  • @lastawake2822
    @lastawake2822 7 หลายเดือนก่อน

    Thank you very much for very useful projects and ideas of using opamps. This splitter power supply is fantastic.

  • @DigiLab360
    @DigiLab360 ปีที่แล้ว +2

    Incredible info and presentation. Thank you so much 👏

  • @4Fixerdave
    @4Fixerdave 11 หลายเดือนก่อน +1

    You know.. for $0.10 you could get a CH32V003. It's a 32-bit 48Mhz RISC-V2A processor with 2KB SRAM and 16KB Flash... 10 cents in quantities of 50 for the 8-pin variant. It actually costs more in shipping than it costs for the device... *and it comes with a built-in Op-Amp* :) Analog op-amp exposed right to the pins (with a bit of configuration).
    Single-side supply, but still useful. Doubt the specs are particularly impressive, but whatever.
    So, you could buy a 10-cent op-amp for your project... and it comes with an MCU for, you know... whatever. :) Crazy world we live in now.
    Oh, and thanks for the refresher course. I wanted to try out this integrated op-amp... figured I should start with the basics.

  • @christianlemire9883
    @christianlemire9883 ปีที่แล้ว +4

    Toujours aussi instructif et divertissant! La meilleure chaîne de ce genre !bravo !

    • @kaleoride
      @kaleoride 4 หลายเดือนก่อน

      Il est très bon!

  • @333cgs333
    @333cgs333 11 หลายเดือนก่อน

    Such a timeless video! Thanks a lot

  • @baffel100
    @baffel100 6 หลายเดือนก่อน

    Spot on and great easy to understand instruction, even for a beginner and a amateur like me.
    Great content as always!

  • @wherami
    @wherami ปีที่แล้ว +2

    Incredible material. Thank you

  • @jimwolsiffer4397
    @jimwolsiffer4397 ปีที่แล้ว

    Very good lesson Bill! I needed a refresher. I am working in NBA circuit to take a 0 -5 vdc control and set it up to run several independent motor controllers. My 1st thought was to feed the single control voltage to several unity gain op amps so that each one could then be the control input to its corresponding controller and track properly the changes of the input voltage. The 324 should do the trick.

  • @peterlethbridge7859
    @peterlethbridge7859 ปีที่แล้ว

    A brilliant and helpful video. Thank you so much

  • @duncan8238
    @duncan8238 11 หลายเดือนก่อน

    Great content as always, I have learned more from this channel than I did in school!

  • @BillySugger1965
    @BillySugger1965 11 หลายเดือนก่อน +1

    Minor point, but an offset voltage in the range 1-10mV is the typical offset at the _input,_ not the output. Others have commented on other relevant points. But a very well presented tutorial. Many thanks.

  • @danielostlund4508
    @danielostlund4508 11 หลายเดือนก่อน +1

    Well i must say i am very impressed by this tutorial.
    I think probably the best and easy understanding video i have seen in a very long time, and i´ve seen a lot of tutorials but they are so over-mathematical and complicated.
    You are a very inspiring person for both young and old folks who are new to micro computing and small electronic hobbys.
    I have recantly diving into the arduino and rpi pico djungle of projects and try to sort all fun and facts in my head cause it´s a lot to take in.

  • @10760910eugenioyoutu
    @10760910eugenioyoutu 10 หลายเดือนก่อน +2

    Thanks so much for a very extensive and useful material you took the time to developed for this video. Best on the topic !! 🏆🏆🏆

  • @electroreveal6434
    @electroreveal6434 4 หลายเดือนก่อน

    Very good video, excellent explanation, I myself used op-amp 741 to build a triggering circuit for Silicon Controlled Rectifier. to control DC motor speed.

  • @stavrosnikiforos7798
    @stavrosnikiforos7798 2 หลายเดือนก่อน

    Thank you very much! Awesome work and great explanations.

  • @warrenking1815
    @warrenking1815 11 หลายเดือนก่อน

    Excellent video well thought out and clear. Op amps the adjustable wrench of electronics.

  • @ChrisHalden007
    @ChrisHalden007 ปีที่แล้ว

    Nice video. Specially the last part about negative voltage supply. Thanks

  • @calebsuit5390
    @calebsuit5390 4 หลายเดือนก่อน

    I love your videos man. Your channel is elite for electrical engineering.

  • @mikejohn5573
    @mikejohn5573 ปีที่แล้ว +5

    Your non inverting amplifier with the 2 equal resistors actually has a gain of 2 because the output is divided by 2 and voltage at the inverting input matches that at the non inverting. The gain formula for this configuration is 1 + (Rf / Rd)

  • @Robolearning
    @Robolearning 9 หลายเดือนก่อน

    You are the best youtuber at tech side when it comes to presenting the content who is not just hurry to present something in a rash (Hope I am correct ). Excellent !!!!!!

  • @saravanampatti1
    @saravanampatti1 11 หลายเดือนก่อน

    What a wonderful video. You enlighten the world. Great service to humanity.

  • @Tech-Relief
    @Tech-Relief 11 หลายเดือนก่อน

    Very useful, I will put a link on my PC to remind me about OPAMP circuits when I need one...

  • @junkmail4613
    @junkmail4613 11 หลายเดือนก่อน

    Good video! I'm 74 YO retired electrical engineer. USA NCE 1982 Thanks

  • @scottakam
    @scottakam ปีที่แล้ว +1

    Thanks. Always great information.

  • @jim5148
    @jim5148 9 หลายเดือนก่อน

    Good video. You put in a LOT of work to make it.

  • @conwaynoel3715
    @conwaynoel3715 10 หลายเดือนก่อน

    Brilliant vid my friend , re - learned a whole load about Op-amps that I'd forgotten , thank you !

  • @temyraverdana6421
    @temyraverdana6421 ปีที่แล้ว +2

    Great video, very useful. Thanks a lot

  • @utkf16
    @utkf16 10 หลายเดือนก่อน

    Brilliant lesson thank you

  • @John-we7jx
    @John-we7jx 6 หลายเดือนก่อน

    Very clear instruction 😊

  • @fmphotooffice5513
    @fmphotooffice5513 ปีที่แล้ว

    Excellent presentation.

  • @Vahe.Caliskan
    @Vahe.Caliskan ปีที่แล้ว +2

    For inverting and non-inverting amplifiers, the voltage gain AV should not have the Vin term as a multiplier since AV=Vout/Vin. So AV=-RF/Rin for the inverting amplifier and AV=(1+RF/RD) for the non-inverting amplifier. What is shown is actually the output voltage Vout. The extra 1 term in AV for the non-inverting amplifier has already been pointed out in a previous comment.

  • @874D8
    @874D8 หลายเดือนก่อน

    fantastic video and resources, thank you very much!!!

  • @fofobadri
    @fofobadri ปีที่แล้ว

    An excellent and comprehensive lesson and a perfect job. Thank you. You can make a metal detector for us and distinguish metals by sound

  • @user-xs1ej5mo1y
    @user-xs1ej5mo1y 11 หลายเดือนก่อน

    Loved it; thank you so much.!

  • @venkatyalamati3285
    @venkatyalamati3285 6 หลายเดือนก่อน

    Thanks for the quality content as usual ❤

  • @emmanuelgenerale2821
    @emmanuelgenerale2821 10 หลายเดือนก่อน

    Thankyou for your effort

  • @jimdean7335
    @jimdean7335 ปีที่แล้ว +1

    Thanks for the content. I have a BUGBOOK on op amps by Howard Berlin in my library. I just looked, it has a first printing date of 1977. I’ve had it since then. For you younger viewers we used real books before the evolution of the internet.

  • @user-mr3mf8lo7y
    @user-mr3mf8lo7y ปีที่แล้ว +1

    The most critical point you have made was about the amplification range that it is limited to power supply limit (rail-to-rail). 99% of the videos are misleading, present like op-amps could amplify to the moon. Thanks a bunch.

  • @korrige1
    @korrige1 หลายเดือนก่อน

    Also I would be happy to join groups so I can learn all the principles that is possible 😊

  • @perrseb5772
    @perrseb5772 11 หลายเดือนก่อน

    Thank you very much! This is of great value!

  • @emmanuelgenerale2821
    @emmanuelgenerale2821 10 หลายเดือนก่อน

    Thanks for this, very helpfull video.

  • @mspurling2010
    @mspurling2010 9 หลายเดือนก่อน

    Awesome video, thank you!

  • @advancednutritioninc908
    @advancednutritioninc908 11 หลายเดือนก่อน

    Excellent video! Very well done and explained thoroughly! Liked! Subbed!!

  • @kellyspoolhall761
    @kellyspoolhall761 8 หลายเดือนก่อน

    Thanks Bill 👍 I am really enjoying your channel!

  • @ronen124
    @ronen124 ปีที่แล้ว

    buen articulo gracias por la informacion refrescante

  • @kinghenry238
    @kinghenry238 8 หลายเดือนก่อน

    Awesome video!

  • @parthpatel1605
    @parthpatel1605 10 หลายเดือนก่อน

    Nice explained 👌👍

  • @bkj242
    @bkj242 3 หลายเดือนก่อน

    Very good overall OpenPlay tutorial as always well done!!

    • @bkj242
      @bkj242 3 หลายเดือนก่อน

      Meant to say OpAmp not OpenPlay? …….

  • @your_utube
    @your_utube 11 หลายเดือนก่อน

    Great video as usual. Thanks!

  • @vanhetgoor
    @vanhetgoor 11 หลายเดือนก่อน

    As always . . . very informative :)

  • @jj74qformerlyjailbreak3
    @jj74qformerlyjailbreak3 11 หลายเดือนก่อน

    I actually thought this was an old video. Had to watch it all just to know my assumption was incorrect.
    Thanks DBW

  • @martysomoco
    @martysomoco 11 หลายเดือนก่อน

    This video is sensational! You are the Albert Paul Malvino of TH-cam.

  • @RyansCustomShopandGearOutlet
    @RyansCustomShopandGearOutlet 9 หลายเดือนก่อน

    Very cool! Liked and subscribed!

  • @ThatJay283
    @ThatJay283 10 หลายเดือนก่อน

    i just made my first amplifier that actually sounds good with an op amp. i used LM358 for it. when i turn the gain up high enough, it even picks up radio signals lol, so i totally see why audio equipment is always in faraday cages. for the dual supply i just used the other side of the LM358 with another NPN transistor and a voltage divider to provide my common ground.

  • @papajahatmamabaik2050
    @papajahatmamabaik2050 5 หลายเดือนก่อน

    You sir explain better. Thank you.

  • @timothymitchell7250
    @timothymitchell7250 ปีที่แล้ว

    Very helpful!

  • @girideshkumar4
    @girideshkumar4 11 หลายเดือนก่อน

    Thank you so much ✌

  • @davidbrooks8621
    @davidbrooks8621 10 หลายเดือนก่อน

    Bill, Thank you very much. In the frequency equation you missed the pi in the denominator.

  • @jeetenzhurlollz8387
    @jeetenzhurlollz8387 11 หลายเดือนก่อน

    As usual an excellent video

  • @surgingcircuits6955
    @surgingcircuits6955 ปีที่แล้ว

    Excellent, Excellent, Excellent. Thx!

  • @user-fi2et6js1j
    @user-fi2et6js1j 5 หลายเดือนก่อน

    Thank you, for this Super good Video agin!

  • @lumimegpoid795
    @lumimegpoid795 ปีที่แล้ว

    Great vid. Thanks

  • @wolfberrinhos7068
    @wolfberrinhos7068 11 หลายเดือนก่อน

    Thank you,
    Verry good Video.

  • @elmono558
    @elmono558 9 หลายเดือนก่อน +1

    If you don't need a lot of current (

  • @TheUnofficialMaker
    @TheUnofficialMaker ปีที่แล้ว +1

    how timely, my "Design with Operational Amplifiers and analog Intergrated Circuits" book by Segio Franco 1988 just arrived this morning! Great lecture and experiments. Sorry to hear about your disaster.

  • @rolfgrupp7228
    @rolfgrupp7228 8 หลายเดือนก่อน

    Exelent !