EEVblog 1399 - Electronics Fundamentals: Voltage Dividers

Поділитися
Вставка
  • Опубліковано 6 жов 2024

КОМЕНТАРІ • 200

  • @dr_davo
    @dr_davo 3 роки тому +100

    I teach at a University, and I show your vids to my freshman class. I also make vids for the entire EE curriculum, but in my opinion - having multiple sources of info from places all over the world help students learn way better than pushing to read a single textbook.

    • @vgamesx1
      @vgamesx1 3 роки тому +10

      As someone who learned almost everything about electronics from youtube, I can confirm using multiple sources makes a huge difference, whenever I had trouble learning something I found another video on the topic that simplified or explained it in a way I could actually understand, also using analogs how Louis Rossmann likes to explain things can also sometimes help.

    • @eebaker699
      @eebaker699 3 роки тому

      @@vgamesx1 couldn't agree more. 😁

    • @robbieaussievic
      @robbieaussievic 3 роки тому

      ..... Hollywood would have re-dubbed it, (Like they did with 'Mad max').

    • @JoeOlneyGym
      @JoeOlneyGym 3 роки тому

      Then again there are books I didn't sell back after the semester was over because I knew the book cover to cover.

    • @shrimpkins
      @shrimpkins 3 роки тому +1

      @@robbieaussievic Don't write off the Goose before you see the box going into the hole, mate 😁

  • @Fordgpw1942ocalafl
    @Fordgpw1942ocalafl 3 роки тому +54

    These are my favorite videos just like the old ones because of you I understand opamps!

  • @airmann90
    @airmann90 3 роки тому +15

    Don't care how simple any of these fundamentals are, I love the 'fun'damental vids.

  • @8BitThoughts
    @8BitThoughts 3 роки тому +24

    Man, I wish I had a teacher like you in high school.

    • @s8wc3
      @s8wc3 3 роки тому +4

      Right? All high school electronics class is these days is "how to make blinkie LED wowee with arduino".

    • @8BitThoughts
      @8BitThoughts 3 роки тому +1

      @@s8wc3 Arduino’s didn’t exist when I was in high school 😂

    • @s8wc3
      @s8wc3 3 роки тому +2

      @@8BitThoughts I was the first of the arduino era, the students before me at least got to put together jaycar kits and that kind of stuff, we just sat on the computer...

    • @kemonoyama2084
      @kemonoyama2084 3 роки тому

      College too!

    • @Jason-wc3fh
      @Jason-wc3fh Рік тому +1

      I would be shocked if my high school actually taught something useful like this from back when I was there. They were too busy teaching us useless garbage about religion, history, music, french, and other junk that serves you no purpose in life.

  • @hopelessnerd6677
    @hopelessnerd6677 3 роки тому +3

    Even if you think you know something well, watching a refresher like this is always good. You never know what shortcut you might pick up. Thanks Dave!

  • @stevedaenginerd
    @stevedaenginerd 3 роки тому +16

    Thank you so much for continuing the fundies series! I thought I had a good understanding of these concepts, but now I feel like I have a better and deeper understanding. I feel like I just upgraded my tools! lol

  • @whitefields5595
    @whitefields5595 3 роки тому +5

    Dave, every day is a school day. Even when you think you know what you need to know there will be new insights from a new teacher. Please keep doing these fundamentals vids.

  • @bertblankenstein3738
    @bertblankenstein3738 3 роки тому +28

    "Resistance is futile." Ok now that that is out of the way, thank you for another fundamentals video.

  • @amratsingh5206
    @amratsingh5206 3 роки тому +8

    EEVblog Fundamentals videos is what I live for. ❤

  • @Seiskid
    @Seiskid 3 роки тому +5

    The 10% 1% 0.1% rule is useful. I've been doing this a long time but hey never thought of this before. Its a winner.

  • @TheEmbeddedHobbyist
    @TheEmbeddedHobbyist 3 роки тому +8

    Well done, the meter error due to input impedance is something that gets missed in the UA-cam uni class's.
    I can remember having to work out the affect the meter would have on the reading, then taking the readings and checking to see if the reading was as expected. so you knew the circuit voltage was correct. Avo MK8 great place to start with you measuring kit, you had to know by how far out your reading will be.

  • @robsdeviceunknown
    @robsdeviceunknown 3 роки тому +1

    I took Computer Electronics back in 1989. LOVED it but ended up going a different route in my career. Now that I'm retired I am getting back into it for fun so these videos will be a life saver. So sorry to those that think this is too basic of info. For me it's astrophysics atm.

  • @JosepsGSX
    @JosepsGSX 3 роки тому +2

    Thanks a lot for this back to basics sessions. I'm on the uneducated side, learning electronics as a late hobby, and these lessons are quite helpful and interesting.

  • @jardel_lucca
    @jardel_lucca 3 роки тому +2

    Please keep posting these fundamentals videos!

  • @BrentLeVasseur
    @BrentLeVasseur 2 дні тому

    You are a blessing to UA-cam! Thanks for the wonderful videos.

  • @thomasesr
    @thomasesr 3 роки тому +22

    "Anywhere I go, every place I look. All I see is voltage dividers everywhere"

    • @EEVblog
      @EEVblog  3 роки тому +21

      My god, it's full of voltage dividers...

  • @HaloWolf102
    @HaloWolf102 2 роки тому

    I've clicked on a few videos on this subject, this is by the far the best explanation of it across those videos.
    Thank you very much Dave.

  • @jackevans2386
    @jackevans2386 3 роки тому +2

    15:15 ". . . don't want to piss away power" Love the Aussie vernacular.

  • @Dave_Rice
    @Dave_Rice 3 роки тому

    All stuff I learned eons ago, but rarely revisit. And you brought a few points out that I had never considered. Thanks for the fundamental videos. Wonderful stuff!

  • @Basement-Science
    @Basement-Science 3 роки тому +1

    In my opinion learning about voltage dividers early like in schools, you never have any idea what they are even good for and may think they are pointless. That is, unless you come to the wrong conclusion and think you can just power your whole circuit from them.
    In this video I think you've both shown how they work and simple, practical examples where you encounter them. That's how everything should be taught!

  • @onjofilms
    @onjofilms 3 роки тому

    Been in Electronics since 1982, but always like to see your fundamentals anyway.

  • @MichaelClark-uw7ex
    @MichaelClark-uw7ex Рік тому

    Playing with 555 timers and the voltage divider built into them is a great way to understand them.
    In fact some people say the 555 timer is named for the series of 5k resistors in the built-in voltage divider.

  • @blward
    @blward 3 роки тому

    Thank you for the fundamentals video! I really appreciate having a good place to direct people for reference.

  • @clems6989
    @clems6989 2 роки тому

    I love these old videos Dave, Just look how the channel (and You) have grown... Great Job !

  • @dhpbear2
    @dhpbear2 3 роки тому

    13:45 - Rth can also be found by replacing the voltage source with a short and measuring the resultant resistance: R1 // R2 :)

  • @Sahilkhan-jd5fz
    @Sahilkhan-jd5fz 2 роки тому

    You are an angel for me from whom I am going to learn a lot. I am obliged to get these free lesson.

  • @anuragkondle2269
    @anuragkondle2269 3 роки тому

    Thanks for your videos... Always keep us posted with these basic but important stuff. Efforts appreciated.👍🏻

  • @Oberon4278
    @Oberon4278 3 роки тому

    I'm kind of surprised that you managed to go for 24 minutes straight just about voltage dividers, without any fluff, without repeating anything, and everything you covered was relevant and interesting.

  • @michaelmccarty4765
    @michaelmccarty4765 Рік тому

    I am an amature who recently dropped the $$ for the "Art of Electronics" (and the lab guide). This was so helpful, thank you!

  • @jeffm2787
    @jeffm2787 3 роки тому +1

    I had this pretty much nailed down when I was 8, however I think it's a great video and these topics are good for people trying to learn.

  • @nathanrussell2158
    @nathanrussell2158 2 роки тому

    Thanks Dave, really appreciate your videos.

  • @eebaker699
    @eebaker699 3 роки тому

    Great video, thanks. I was experiencing the same readings on my analogue multi meter when testing a voltage divider circuit.
    This has cleared up many questions.😁

  • @Limeayy
    @Limeayy 3 роки тому +2

    I remember learning about Voltage Dividers in Automotive ECU's.

  • @McTroyd
    @McTroyd 3 роки тому

    If I'd had this explanation 30 years ago when I got into electronics, I'd probably be an EE now. In the pre-Internet world, this stuff was all over every book I read, but its fundamental relevance wasn't really explained well. In particular, I never made the link between "load" and "resistance" until a couple years' back. Until this video, I hadn't made the (obvious in hindsight) link that the wiring itself could present a voltage divider. 🤦‍♂️ Thanks much!

  • @petersage5157
    @petersage5157 3 роки тому

    "Digital? Every ID-10-T can count to 1." I'm glad to see Dave returning to the Electronics Fundamentals videos.
    The absolute bog-standard jellybean TL072 has famously low input current, but even the most basic distortion pedal designs using 9V batteries and a voltage divider to produce the center voltage reference will typically have two 22K resistors (bypassed with 22-100uF in case of a noisy wall wart supply) *plus* individual ground reference resistors on the order of 220K. This is, again, because the input current is naff all, so the op amp doesn't have to source or sink much current to keep the input referenced to ground at the same voltage as the other input, and the build-out resistors help isolate the amplifier sections. In a multi-stage amplifier, the last thing you want is signal riding a rail from one stage to another, which will happen if an input is tied directly to ground with no current limiting resistor. We also used to see this on valve amplifiers that didn't have adequate decoupling between stages on the B+ rails.

  • @IanScottJohnston
    @IanScottJohnston 3 роки тому

    When I was at school and we started electronics we got the formulas but were were taught exactly how and where they were derived (early 80's).

  • @rádiosantigos1958
    @rádiosantigos1958 3 роки тому

    I guess that the impedance trap on the meters loading the circuits is very important when working on tube radios. Nice presentation!

  • @thesadhak
    @thesadhak 3 роки тому

    Sir your teaching style is impeccable.
    Keep up the good work 💯.

  • @ChrisHalden007
    @ChrisHalden007 3 роки тому

    Love those "Electronics Fundamentals" episode!!!! Thank you

  • @brad5947
    @brad5947 3 роки тому +1

    Nice, clear explanation, thank you!

  • @KrisKustomPaint
    @KrisKustomPaint 3 роки тому

    I really appreciate these videos. They've helped me quite a bit. Thank you for making them.

  • @Abihef
    @Abihef 3 роки тому

    This is great.
    I've been building a lot of devices lately and designing but I keep getting confused at what node to reference, feel like an absolute beginner, somehow I swapped the order In my head recently when I was testing an idea in ltspice and now I keep switching it up in my schematics.
    The video is only just playing but this timing is great.👌😁😅
    Thank you so much.

  • @andymouse
    @andymouse 3 роки тому

    Your 'Fundamentals' stuff is realy enjoyable and useful, please keep 'em coming !....cheers.

  • @TheDrunkenMug
    @TheDrunkenMug 3 роки тому

    Thanks Dave, verry interesting! 😀
    Paul Carlson, down at Mr. Carlsons lab, made several pretty interesting videos in which he sometimes mentions circuit-loading a device under test while using modern test equipment like DSO's and DMM's.
    Then he goes about explaining how these problems were absent in the past due to having high-impedance VTVM's (vacuum tube volt meter).
    Interestingly, the second analogue meter you showed (but didn't use) is a FET volt meter.
    Most of the time these meters are based on the circuit design of the older VTVM's.
    Especially since Vacuum Tubes act alot like FET's themselves, albeit with allot higher voltages.

  • @johnwade3476
    @johnwade3476 Місяць тому

    Not boring i use this every day 😊

  • @lynxian-6097
    @lynxian-6097 3 роки тому

    I'm a new subscriber and I finally got out of bed wanting to kickstart learning more about electronics (im stuck, finding good lectures is hard that i barely understood and lacking materials)
    It really works, wrote it and did that 10x rule, using that formula it works! My cheap multimeter didn't lie too, learning something like this is already flabbergasting to me already, even though there is a lot more

  • @00Skyfox
    @00Skyfox 3 роки тому

    I always love these fundamentals videos. Thanks!

  • @lasersbee
    @lasersbee 3 роки тому

    Love the Fundamental Videos... Its been a while even though I saw the recent last one.

  • @bradtito3309
    @bradtito3309 3 роки тому

    Thanks Dave. Very nice explanation

  • @johnanderson9619
    @johnanderson9619 2 роки тому

    Resistors in series are cool, because they give voltage references.
    Resistors in parallel are cool because each set of voltage dividers current in parallel, is separate from the others current(s).
    Each voltage divider in parallel has it's own private current, and the total current is only taxed from the battery directly and separately from the total amount of voltage dividers in parallel in the circuit.

  • @MatthewSuffidy
    @MatthewSuffidy 3 роки тому

    Yes, the way I see it is the resistor tap points define the voltage gradient BUT the load on the taps can mess it up, the more the current vs the larger the resistor network values, the more messed up it will get. Parallel resistors are actual counterproductive because there are more paths for electrons. The whole point of resistors is they are mostly insulators that have only a finite number of paths.

  • @frankwalsh1379
    @frankwalsh1379 3 роки тому +1

    i need more fundamentals videos. Thanks dave

  • @JR-rk5dr
    @JR-rk5dr 2 роки тому

    been a fan since highschool have taken 3 EE classes in uni (ME major) and to be honest your Vids gave me a better understandsing then those 3 semsters of work keep it up make :)

  • @elektron2kim666
    @elektron2kim666 Рік тому

    The rule of 2 resistors (of the same value) in parallel giving half is easier to think with by seeing "the extra wire" being added - so the flow got better and both resistors are now inefficient.

  • @mgx9383
    @mgx9383 3 роки тому +1

    6:40
    "Good enough for Australia"
    "Near enough"
    That's why you have summer in December. ;)

  • @Daveyk021
    @Daveyk021 3 роки тому

    DVM Input Impedance: Older Flukes (I do not know if modern ones are like this or not): In auto voltage mode, the input resistance was 10Meg ohms, in Manual Voltage range, is was 11Mohms. The high voltage probes only were accurate in manual voltage range mode. It's been too long, it may have been 11/10 megohms.

  • @evensgrey
    @evensgrey 3 роки тому

    Parallel and series resisters and capacitors have a some of other important uses.
    Because one of the factors controlling the price an assembly house will charge you for stuffing boards is how many different components are in the BOM, if you can use a combination of more common resistors or capacitors to get some of the values used rarely on your board you may be able to significantly cut your costs (or get the bard into the range of numbers of different components that more houses can handle, which can potentially get you a cheaper price by having more options and thus put you in a better shopping and negotiating position). (This is an engineering decision, so you will need to run the numbers to figure out what the best alternative is.)
    If you can be sure of the actual distribution of values for your parts ahead of time (which can be difficult, as many suppliers won't give you this kind of detail and only guarantee the parts to be withing the tolerance, not how they distribute in the tolerance) you can use multiple parts to get statistical reduction in the distance from the expected value. (This could be useful for high-frequency circuits where the exact values of parts can be critical but you can't get super-precise parts for some reason, or at least not all the parts at the super-precise values.)
    You can also use multiple parts to create redundancy if there's likely to be conditions that will cause individual parts to blow but the circuit needs to still operate (perhaps at decreased accuracy, but you still need it to work even if it acts funny). If you put, for example, two pairs or parallel resistors in series, you have the same resistance as any one of them, but you need to have at least two of them fail for the whole resistance array to fail. The circuit won't work properly with one failed, but it won't fail as easily as with only one resister, and there are times when it's better for a circuit to act weird than to just fail. (I'm thinking emergency equipment, where as long as it does something, it's still useful. An emergency pump controller that makes the pump go at the wrong speed is a LOT more useful than one that won't make the pump go at all. An emergency lighting controller that brings the lights to the wrong brightness is far better than one that doesn't make the lights do anything. And so forth.)

  • @datnguyenp
    @datnguyenp 3 роки тому

    I never memorized voltage and current divider back in school. I just applied KVL and KCL, which are pretty much the same things

  • @LZ1SSA
    @LZ1SSA 3 роки тому +1

    Колега, желая ти много качествени ученици. 🙂

  • @bobwhite137
    @bobwhite137 3 роки тому

    Maybe you have this queued up for another time, but since you mentioned Vin on the left and Vout on right as a convention, it's probably worth mentioning that THE most important convention is that positive current flows into the positive terminal of devices. Darn Ben Franklin, he had a fifty fifty shot of getting it right...

  • @hankdewit7548
    @hankdewit7548 3 роки тому

    I always thought that the Thevenin impedance was calculated by shorting out the voltage source and "measuring" across the output. In your example we get the same answer as by shorting out the 10V source we end up with two 10k resistors in parallel, making 5k.

  • @10o01semih10o01
    @10o01semih10o01 3 роки тому

    Ahhh, just needed this video for school assignment. Thanks!

  • @juckis
    @juckis 3 роки тому

    more fundamentals please, thank you. this vid was great!

  • @pranjal3727
    @pranjal3727 3 роки тому

    The cube and infinitely long series problem sucking my life in school🔥🔥

  • @simbozoni
    @simbozoni 3 роки тому

    Thanks Dave, more fundamentals please!

  • @velanvasanth6545
    @velanvasanth6545 3 роки тому

    👏👏👏thanks a lot for teaching technical things...

  • @anotheruser9876
    @anotheruser9876 3 роки тому +4

    A voltage divider is nothing but a pull-up AND a pull-down resistor in series. :)

    • @Rx7man
      @Rx7man 3 роки тому +2

      it's a big fight between the pull-up and pull-down resistor(s)

    • @EEVblog
      @EEVblog  3 роки тому +2

      Some men just want to watch the world burn...

  • @stevenspmd
    @stevenspmd 3 роки тому

    I found this confusing when I started learning electronics; it wasn't until I started thinking of current as marbles in a pipe (i.e one goes in, ones pops out) that the current and the voltage drop/division started to make sense. The same analogy helps explains why a resistor that is only connected on one end has sees a voltage to ground.

  • @zyghom
    @zyghom 3 роки тому

    I learned this in school - it took few months then. Nowadays 25min 20sec including all jokes - amazing ;-)

  • @raymondbyczko
    @raymondbyczko 3 роки тому

    It finally occurred to me over the years, is that 'shorting' a ckt, introduces a GND between R1 and R2 (in series). And so more current is pushed through R1, given V is constant, possibly damaging R1. So theres a connection between shorting, and voltage dividers.

  • @tdrelectronics766
    @tdrelectronics766 3 роки тому

    Another way to calculate thevenin resistance is short circuit any voltages and open circuit any currents so in your example short circuit the voltages so tthis parallels the 2 10k resistances to give 5K at time 13.57 in the video

  • @archaedemos
    @archaedemos 5 днів тому

    Thanks for the video.

  • @LousyPainter
    @LousyPainter 3 роки тому

    Learned something very valuable Dave. Thanks!

  • @Nabilphysics
    @Nabilphysics 3 роки тому

    Thanks dev for your time

  • @pyromen321
    @pyromen321 3 роки тому

    You do such a good job with these whiteboard videos! I imagine it takes a good amount of planning to make these, and your effort really pays off!

    • @EEVblog
      @EEVblog  3 роки тому +3

      Planning? You must be new here :-> My plan constitutes pushing the record button and hoping something sensible comes out.

    • @pyromen321
      @pyromen321 3 роки тому

      @@EEVblog, haha I figured that was the typical workflow (for non-whiteboard videos), hence my comment! It’s even more impressive if you just whip out all these great little details off the cuff

  • @AJMansfield1
    @AJMansfield1 3 роки тому

    My favorite type of "voltage divider" is the autotransformer. As long as it's the same wire gauge on the entire coil, they technically even work to divide DC (though your efficiency will be criminally bad lol).

  • @roseelectronics4582
    @roseelectronics4582 3 роки тому +2

    You're doing great, Dave. I like you.

  • @myetis1990
    @myetis1990 3 роки тому

    voltage dividers are everywhere, even in Dave's youtube channel :)

  • @ShomiTheGreat
    @ShomiTheGreat 3 роки тому

    Hey brother, you should totally do an in-depth hybrid model high-frequency BJT analysis for all cases (CC, CE, CB) and comparing those cases.
    It'd be a lengthy video, but, hey, nobody has explained the analysis properly on yt so far.
    You could also do the part 2 for FET analysis.

  • @johnanderson9619
    @johnanderson9619 2 роки тому

    Analog to Digital is voltage dividers.
    With voltage dividers, you can make sleeping circuits.
    Voltage, Current, and Resistance all play together.
    Simple.... but very powerful. Resistors are king in the circuit world. imho.

  • @DavePoo
    @DavePoo 3 роки тому

    Thanks, as a noob, I've always wanted the fundamentals to be more fundamental

  • @thomasw6169
    @thomasw6169 3 роки тому

    Next in series: What is this resistor thing anyway ?
    (These basic series are great!)

  • @magnuswootton6181
    @magnuswootton6181 3 роки тому

    DACs use current division to get consequtive analogue divides just 1 wire each, its the coolest circuit that just uses resistance and natural raw electrical division to work.

  • @sefarkas0
    @sefarkas0 3 роки тому

    Don't know where you are going with the series but you may want to present at some point solving the corner to corner resistance of a cube of resistors

  • @Ziferten
    @Ziferten 3 роки тому

    You don't need Kirchoff's current law to extend a current divider. Just use the voltage divider formula, but replace each resistance by its conductance. I.e., Ix = Itot * (Gx / sum(Gi))

  • @TrueThanny
    @TrueThanny 3 роки тому

    It's a nice quick way to take 7.5V DC and make it safe for a 3.3V LED. Use 330 ohms for the first resistor and 220 ohms for the second, bringing it down to 3V.
    You won't want to use higher ohm resistors, even though the voltage result is the same, because you'll be putting some load through them. You also don't want to power anything more hungry than an LED. It's not a substitute for a proper voltage converter.

    • @simontay4851
      @simontay4851 3 роки тому

      Or just simply put a 1K resistor is series. If 1K is too high, keep changing it for a lower value until you get the desired current. Good enough.

  • @miguelangelsimonfernandez5498
    @miguelangelsimonfernandez5498 3 роки тому

    Knowing the load (input impedance) is also important, actually paramout, in analog (AVO) voltmeters

  • @bertblankenstein3738
    @bertblankenstein3738 3 роки тому

    Digital outputs are also a voltage divider using transistors instead of resistors.

  • @dedr4m
    @dedr4m 3 роки тому

    I use knowledge of voltage dividers to "calibrate" sensors on printers (mainly EPSON TMH6000 Version 4) where the voltage divider is for an analog pin input on the micro, the source voltage is off of the IR photo-transistor. Placing a "pull-up" resistor between 10K and 80K ohms fixes an issue/oversight where they sampled an analog voltage and that voltage (or IR-Xsistor) goes out of wack rendering the whole printer unusable.

  • @harleyarmstrong5947
    @harleyarmstrong5947 3 роки тому +1

    Hi Dave, Thank you for the fundamentals video! I wanted to ask on the source video, but since you revisit the topic here I thought it would be a good time to ask.
    Is the thevenin equivalent circuit mainly useful for testing/designing batteries/power supplies since you can model the complex board you are powering with a single resistor, or does it have other uses outside of the implementation of the voltage/current source?

  • @mattb9664
    @mattb9664 3 роки тому

    If only we had UA-cam and EEVblog to assist with us 25 years ago through terribly written EE books with pages of errata sheets...

  • @afourtrackmind
    @afourtrackmind 3 роки тому

    Thanks again Dave

  • @liquidsonly
    @liquidsonly 3 роки тому

    I have a green haired troll too, given to me by a very attractive Australian. Sadly she's now back in Australia and I'm in rainy Wales.
    Oh, about the actual subject, thanks Dave. I used to work at a company that had an engineer did this sort of tutorial for us mere techies. Taught me a lot.
    I miss that job/place/time/aussie girl.

  • @gandalf87264
    @gandalf87264 2 роки тому

    A young man who was interested in electronics came to me recently and explained to me that he was trying to run a small amplifier in his car on 6 Volts. He had read up on using resistors as voltage dividers and thought that would work, which off course didn't, so I introduced the LM7806 to him. Problem solved 😁

  • @raymondbyczko
    @raymondbyczko 3 роки тому

    I like to remember parallel => product over the sum :)

  • @chasingcapsaicin
    @chasingcapsaicin 3 роки тому

    Reverse Polish notation, don't remember all the tricks, but usefull.

  • @ritecomment2098
    @ritecomment2098 3 роки тому

    you can feel the fundamentals video arriving before they get sold off

  • @deathcube2006
    @deathcube2006 3 роки тому

    Dude, where were you when I took my electrica circuits course!!

  • @SixTough
    @SixTough 3 роки тому

    Thanks Dave you're a legend. Can you go depper into voltage versus current dividers? Like what to expect if I use AAA batteries, wall AC or something like a capacitor as a source? Which one will change in terms of practice?

  • @paulmillard1130
    @paulmillard1130 3 роки тому

    Go for it Dave!