Understanding RMS Values in AC Circuits √2 ? | Voltage | Current
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- Опубликовано: 4 июн 2024
- 🔍 Dive deep into the world of AC circuits with our comprehensive tutorial! In this video, we demystify RMS values, exploring essential equations for calculating voltage, power, and current in alternating current systems. Whether you're a student, hobbyist, or professional, this tutorial is your guide to understanding and applying key electrical engineering concepts.
🕒 Timestamps:
0:00 - Introduction to AC Circuits
1:20 - Deriving Power Equations for DC Circuits
2:43 - Deriving Power Equations for AC Circuits
6:45 - Comparing AC and DC Power Calculations
6:59 - Importance of RMS Values
7:30 - Deriving RMS AC Circuits
8:21 - Using RMS values
📚 Key Takeaways:
Learn the fundamentals of AC circuits
Understand the significance of RMS values
Explore power calculations for AC and DC systems
Simplify complex equations for streamlined analysis
👍 If you find this tutorial helpful, please like, share, and subscribe for more in-depth content on electrical engineering. Enhance your knowledge and stay tuned for upcoming tutorials!
#RMS #ACcircuits #ElectricalEngineering #PowerCalculation #Voltage #Current #Tutorial #EngineeringEducation #OhmsLaw #DIYElectronics #ElectronicsExplained #STEMeducation
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As an electrical engineer (myself retired), your explanation, with detail, is very well done ! Thumbs up. I've passed this along to others.
This is the single best presentation on Ohm's Law, DC and AC circuits that I've EVER seen! I've been doing electronics since 1972.
❤
In 1988, right out of high school, I studied electronics engineering. I studied Ohm's Law, P=VI and RMS. But I never got around to why RMS is RMS. Now as a 50+ old geezer, I know. The animation at 4:05 is brilliant!!!
Something a visual representation makes a concept much more clear and understandable.
I have college and university degrees in electronics and electrical engineering, oh how I wish your tutorial and internet site existed then , I'm looking thru your sites , thank you
Damn. That is one crystal-clear explanation of the RMS value. I know there is such a thing as RMS voltage in AC circuits but never could comprehend how it is derived. Hope I had RUclips in my college days..
Good job. You managed to explain a not simple concept using concise and effective approach.
Great explanation after years of being an engineer we are getting to understand voltage and current 😂😊
I always thank God that there are scientists who think and research to help us understand such things .
The peak voltage is usually used for capacitor. You must select capacitor voltage w/this voltage and no Vrms. In DC capacity the selected voltage must be function of the capacitor model. It is better 2 time more voltage than used dc voltage (specialy for tantalum).
I had a blurred idea about RMS. It started with measuring UPS and SMP power supplies. Understood that cheap multimeters cannot measure the correct voltage etc. You cleared it. Thank you!
The voltage changes in the US 60 times, in Europe 50 times.
In Japan there are both networks, one 50Hz and one 60Hz, but only 100V RMS
The voltage is 220V RMS in Russia, 230V RMS in continental Europe and 240V RMS in England.
V peak is almost never used and V RMS is almost always used!
V peak is only used when the AC voltage is rectified and the expected maximum DC voltage is asked.
V RMS x SQR(2) = V peak
V RMS x1,414 = V peak
Beautifully explained, thank you!
Suprised To see a new way to derive The equation. initially I know a method to derive this equation using calculus but this method is more mind wobbling...
As an electrical engineer myself, this method explains how ac power formulas started, but the calculus wad explains the understanding of what the words Root Mean Square mean. You can't average and sine wave centered on zero, so square it, now its all positive, now average it (mean), now reverse the squaring(root). And voila RMS and you get the same answer Vpeak / root 2.
OMG, I've known about RMS for 45 years, but always thought household power was peak to peak. Even wired my own house from pole to multiple subpanels, how could I have missed that? Just one of the many new things I learned today....
A negative voltage multiplied by a negative current gives always a positive power. Power then cannot be negative.
It was decades ago, we went through the full derivation for RMS. About 15 years into my career I forgot how to derive it, but knew the sqrt of 2. Lol. This is a very nice review of the subject.
Best video as an electrical engineer i have ever seen explaining this...
If I’d have known this analogy during my study it would’ve saved lots of time and could pass the class with better grade
This is not how I learned it but exactly how I understood it to be. Far too often do we expect others to teach us and make us understand. Yes, there are some teachers that are better than others, but that doesn’t diminish the responsibility we have to ourselves for our own understanding of a topic
NOW I understand. Thank you very much. 👍
The best video with the best and simplest explanation I have ever seen
The RMS value is .707 x peak value of a pure sine wave
Yes, 0.707 being an approximation of 1/(square root of 2).
Unbelievable
Very interesting 👍
Thanks
Fascinating! Wish I had learnt it like this in the early 80s!
Why youtube and guys like you didn’t exist in 1992? DZIĘKUJĘ 🎉❤😊
I have known about the RMS formula for at least 30 years. It's the first time that I know from where this equation comes.
Very nice topic for basic Electrical engineering
Next video ÷ how to transformer less(Capacitor) power supplies work. It Actually convert the voltage? And how about efficiency.
Thank you for using the term Average Power. So many people who should know better think that the product of RMS voltage and RMS current is RMS power. That irritates.
Phenomenal introduction. Future videos on phase discrimination and power factors would be extremely beneficial. For myself I have never been successful with teaching 746 watts = 1HP, but a 110v rms, 1 hp motor takes 10.2amps average.
Best video on this topic uptill now 👍👍👍
Brilliant explanation using the animation. Liked it!
RMS is the "square Root of the sum (Mean) of the Squares / 2" - By taking measurements of a sinewave evenly along both sides & peak, squaring each, add them together, then square root the sum which is the RMS voltage. The equation V=V/√2 is the simple method.
And that's why we use it - it's simple. It's only necessary to use a more sophisticated approach for non-sinusoidal waveforms, would you agree?
Wow! 🤩 you smashed it👏🏻👏🏻👏🏻👏🏻
it was amazing.
Thank you
thank you, very good explaination.
This is by far the most clear explanation I have seen. Well done!
Minor detail, at 8:55 it says that Vpeak is 325.3. I suppose this needs to be 352.3 (as it states a few seconds later correctly).
Very clear man 👍
Thank You. 👍🏻
Great presentation, thank you.
Excellent Professor
This is gold
Very good, I wish you could cover more topics
Best job think you for this
Excellent explanation
Excellent..!
New subscriber always watching your videos very interesting❤
This is so interesting
Super explaining. ..
Nice. Thanks. Having exposure to this many times during my 40 plus year career in engineering and as a hobby as a young teenager I found that for RMS when I really got to the Root of this I found that Squares can be really Mean!
😮. Sorry. Humor. I really did like the presentation.
as a retired ECE this should be the way we teach this to kids.
Very useful
Thank you I use in study in 12th-Sci
Awesome
The current changes direction 100 times a second (120 times in North America). It goes through 50 (60) complete cycles per second.
Very good videos. I liked the voice, too. I liked the water analogies. I’m going to look at your other videos. Thanks
Awesome, thank you!
Thank you very much. Im electric engineer but never understand these . Thank you
Wonderful presentation and animation! Keep it up
However, here
II do not see any mean square .
Do it with the mean square. Using statistics formula.
Good job
Thanks
thanks
Thank you for information khalid du Maroc Casablanca
If you were my electrical engineering professor, I surely will have the best grades❤
Sir
l want to know what is differnes between
RMS & PMPO and when the output power is given in PMPO IN amps how to calculet the RMS POWER OUT PUT OF THEAMP
AWATING for teply pl pl
So, if my RMS is 120V and the peak is 169.7V (as in 8:40) and I use a rectifier to convert it to DC, will I get somewhat 169.7V reading in a voltmeter at the end???
Is this concept of average AC power applies to both 1 and 3 phases systèmes ?
Yeah, so far, so good. But how does one come up with RMS voltage and current?
👍👍
Thanks, never heard of this.
What service does the voice over. Everyone is using it.
I'd love to know as well. Unfortunately it's used for a lot of garbage, and this video is very much the opposite.
👍💙💙
Great video. love the tiktok voice
👍
So, the difference between either the V or I RMS and the effective peak voltage or current is basically the loss it happens during the power transmission!
Nice Explanation I have a one question that why power is only in positive
Power can also be zero but not negative. Think about it intuitively. How could there be negative power? Either work is being performed (positive) or it isn't (zero). The voltage and current being either positive or negative simply refers to the direction the current is flowing. Regardless of direction work is still being performed.
simply put - to find Vrms multiply peak voltage by the sin of 45 degrees, and divide Vrms by sin 45 to get peak Voltage
It works but has nothing to do with sine per se; just that the sine of 45 degrees (in a 360 degree circle) just happens to be the square root of 2.
@@thomasmaughan4798 I didn't mean to imply that it did, just an easy way to remember the numbers
@@thomasmaughan4798 also the presence or absence of a "360 degree circle" has no bearing on the sin of any angle
@@normstaley9799 "just an easy way to remember the numbers"
That's good; whatever works! I have known this relation for decades but this video simplifies it considerably and removes trigonometric functions.
@@thomasmaughan4798 If you think all the algebraic steps this video goes through to get the answer is simpler than using the method I suggested then we should have a discussion on the meaning of the word SIMPLE
In other words, RMS value is the DC equivalent voltage in order for the circuit to consume the same power if connected to a DC source. Am I correct?
We use 60 Hz in the USA and the direction of the current changes 120 times a second.
Next - power calculation in three phase circuits
Doesn't Root-Mean-Square (RMS) imply SQUARING a time-varying waveform, then taking the AVERAGE (MEAN) value of that, and finally taking the SQUARE root of all that?
My guess is that dividing the peak by sqrt(2) only gives the RMS value of a SINE wave, but other waveforms need the whole RMS sequence. Isn't this what "TRUE RMS" DMM's do for 'any' waveform?
THANKS MUCH!!!!
--dalE
I think that the Average value is actually .637 of the peak. Avg= P * .637. So 169v*.637= 108.12vac.
⭐⭐⭐⭐
My multimeter measured household peek to be 120v. Are multimeters RMS?
Most of the cheaper multimeters give an approximate RMS value which is usually not that far off anyway. Multimeters are available that give a true rns value. It will probably tell you in the specs for your meter which one you have.
what can i say, apart from 'Shocking' 🙂
50 Hz in europe, 60 Hz in the US.
Thank heavens for irrational numbers. In this case root 2.
Power will not be +ve , it also varies from +ve to - ve like voltage and current , but understand a -ve or +ve will not matter in an appliance all it is only dissipation .
Isnt England 240v ?
Britain has officially 230 but in practice 240 V they play tricks with the marginals. In 1980 the IEC decided to harmonize 220 V and 240 V to 230 V European countries switched to 230 V but Britain just said they did and used the marginal to cheat.
you said 325v on the last slide but the graph says 352.3v. Typo
240 uk
RMS Titanic didn't have the electric lines on when the crew members escaped before sinking. About 10 s escaped from the back part using a rope to a smaller ultra modern motor boat, designed today.
But in the Europe we usually have 400 V (RMS). Peak value is approximately 566 V.
400 V is the voltage *between phases* in a 3-phase system: 230 V * √3 = around 400 V.
230 V is the RMS voltage between any phase and ground.
You don't need to calculate that precisely.
If the RMS is specified as 230V, then the voltage
fluctuates in practice between 221 and 239V. 96% up to 104% of the target.
The values can worsted case be 90% up to 110% of the target, i. e. 207V up to 253V
With respect, what has line voltage variabilty to do with the underlying circuit theory?
The video is an explanation of the relationship between DC values and their corresponding AC rms (aka effective) values. Although familiar line voltages are used for example, the relationship is applicable to sinusoids of any magnitude. The degree of necessary precision is a separate practical matter.
Странно. Если сравнивать площадь полуволны и прямоугольника такой же ширины, там не корень из 2, а Пи делить на два.
Shanilka Ariyarathne
This is the stuff that drives you insane. If you are an engineer or even a hobbyist you do need to know this stuff. AC circuits can be difficult. Where was You Tube in 1992?
The ai-driven voice is rather bothersome. But, I need a refresher in this RMS thing really makes for a linear power supply that doesn't burn-out the transformer nearly as quick, and runs much cooler. This AI-powered voice is darn close, but its preponderance of clipped frictatives, grates my nerves. (as if I actually know what clipped fricatives, a bit of a mystery to me. So, THANK Professor MAD
In 1984,pondering and cogitating my music and photography 'ny Mad because I am mad as hell and taking it anymore. Gello cuz I'm all wobbly implementing any sort of self-defense, so Ricardo MadGello.
If there is an adjustable parameter controlled the the , not sur what its really called, but in the vicinity of consonantsbeing a bit sharp-edged, is more like it? Take Care and thanks again, Maestro.
When I arrived at the Boolean Algebra in the Heathkit Digital Electronics course, I somehow managed to incorporate it in my debate tactics. Utilizing pure logic, instead of made-up woowoo science, works great when in the presence of law-school-ruined folks, where logic and proportion? they do not need LSD to toss those out the door, and these folks decided 190 degree scalding fluid caused 3rd-degree burns. That is charred flesh. out ;-)
yes I hate this ni.... robotic voice too
So in summary, it is faster the old way, RMS = peak value x 0.707
Your comment makes me wonder if you thought the video was suggesting we go through a long-winded process to make routine calculations instead of just using "the old way."
First of all, the "old way" (0.707peak) is just an approximation of peak/root 2, which is what the video arrives at.
This point was to show how peak/root 2 can be derived, and thus where it came from. This can also be shown using calculus, but this derivation is elegant in that it uses only basic algebra and circuit theory.
@@civildiscourse2000 No, not at all. I knew the long process from technical school but I just wanted to add that shortcut. Your video is great for knowing where the values come from and their relationship, but in a hurry, and without the need to be too precise, 0.707peak is acceptable and I know that many people will be at ease using the short way.
That said, your video is nice and shown in an elegant way. I am sure that interested lurkers will appreciate the details :)
@@zilog357 Lovely response, thanks. One mlnor point: I'm only a wandering surfer. The content isn't mine.
Well, calling a simple Vdc equivalent of ac with a fancy small name Vrms will confuse ppl. They will revisit the definition and Vrms definitely is pretty much useless to understand. The definitions typically don’t say that it is average representation of an AC voltage and yada yada…
100 times a second...not 50
50 cycles a second.
spell check your presentation. very unprofessional to have a slide heading say”Squre” instead of “Square”.
Thanks Prof MAD