RMS (Root Mean Square) Value and Average Value of AC Signals

In this video, you will learn, how to find the RMS (Root Mean Square) and Average value of AC signal (or in general for any time varying signal).
What is RMS (Root Mean Square) Value:
RMS value of any time-varying signal, in general, is related to the amount of heat being produced in the circuit or across the particular element in the circuit.
This RMS value represents the effective value of the given AC signal which will produce the same amount of heat (and hence power) across particular element if it is being replaced by the DC source of equivalent value.
So, by representing any time-varying signal in RMS value we can compare it with its equivalent DC voltage.
In this video, the general equation of RMS value has been derived, which can be used to find the RMS (Root Mean Square) value of any time-varying signal.
And RMS value for AC sinusoidal signal and for full-wave rectifier circuit waveform has been derived.
What is the average value of AC signal:
Average value of an AC signal or any time-varying signal, in general, is the time average of all the instantaneous values of the signal over the particular time period of the signal.
If the signal is symmetric about the horizontal axis or X-axis (Like in case of the sine wave) then its average value over the time period will be zero. So, in such cases, the average value has been found over the half period.
In this video, the average value of sine wave and the average value for the waveform of half wave rectifier circuit has been derived.
If the signal is non-periodic then to find the average value, one needs to mention the particular time over which the average value has been found.
Form Factor and the Peak Factor:
The form factor is the ratio of RMS value and the Average value.
The peak factor is the ratio of the peak value and the RMS value.
Timestamps for the different topics in the video is given below:
0:41 What is RMS Value? why is it so important?
2:51 How to find the RMS value?
5:55 RMS value of sinusoidal AC signal
8:18 RMS value for the waveform of Full Wave Rectifier Circuit
11:22 What is an average value of AC signal
11:59 Average value of AC sinusoidal signal
13:50 RMS value for the waveform of Half Wave Rectifier Circuit
15: 17 Form Factor and Peak Factor
This video will be helpful to all students of science and engineering in understanding the concept of RMS and average value for AC signals.
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[@noweare1]

I had to go and review my calculus to follow this. Thank you

[@shaikrahaman1237]

I had searched lot many videos...but I didn't get what I am looking for.. Your video really helped me alot... Ossum explanation...!!!!Great job...!!👍🏻 Thank you...!!!!🙏

[@Priya77772]

Amazing explanation with basic content..thank you sir

[@hemrajjat3041]

Nice explanation btw if you could tell why do we calculate RMS and avg value then it would have great.

[@arunforchrist7130]

Thank You sir! You gave clarity to my confusion!😊

[@037-jayavarma4]

Great channel sir..

[@utpalnath4419]

Thanks sir for clarifying this..... Otherwise I had to sit with my 12th ac books ....thanks a lot

[@ShahadatHossain-oz2gu]

very helpful..i'm curious are you using mouse to write? or a stylize pen?

[@user-ko8qp5di9v]

Derive the relation between avarage and rms value

[@thesoul3461]

But sir why do we use the average value, what for? I understood the heat equivalency between AC and DC circuit obtained by the RMS value, but what is the practical meaning of Avg current? Explain plz

[@praveengr9517]

Tnx sir your teaching was good

[@harikalatheeswaran9206]

Great video. Amazing explanation sir. Thanks a lot.

[@matiknik]

Very nice presentation and explanation, thanks for sharing mate.

[@alphaeusseniakwarteng9246]

Thank you very much Sir. Please can you show how to find rms and average values of a trapezoid

[@rajdara8764]

Superb explanation

[@udbhavdwivedi2457]

TOO GOOD EXPLANATION.... SUPER LIKES :)

[@shashipreetham2882]

Good explanation bro

[@shivasmart967]

tq sir

[@goelchats]

The voltage and current in an AC circuit are given as v = 100 sin (314 t) ; i = 10 sin (314 t). Determine RMS power.

[@johnmoor8839]

You should have called your channel "All about mathematics".

[@gprashant]

Nice explanation sir.... 😃

[@anisvlogsandcraft5564]

Good content

[@AbhiKumar-xt2lw]

sir in rectifire efficiency we use d.c.curent as average and a.c.curent as r.m.s. why

[@vkedits950]

Thank you 🙏💕

[@tejaeditz5158]

Is these of currents are also there 😮 like triangle etc, 2.39 mints

[@zaarokhan527]

what is the rms value for Direct cutrent?

[@arjunkailas4146]

@zaaro khan, To find magnitude of a physical quantity (which continuously varies), concept of AVERAGE is used in Statistics. RMS is a type of averaging. For Direct Current (D.C),its magnitude remains constant. So no need to take RMS or average for D.C

[@aravindhangk0066]

How to different power from P=I^2R &. P= V^2/R Why R is directly propotional to current & inversely proportional to volatge

[@neerajsaininj1087]

Power nikalne ke liye koi bhi 2 value chahiye hoti hai humein P = V.I hota hai . So , as we know from ohm's law that V=I.R or I =V/R or R = V/I. Current ,volt and resistance mein se koi bhi 2 value pta ho to power nikal skte hai

[@bharathiram8636]

according to ohms law ,V=IR ...R is directly proportional to V and inversely proportional to I.

[@ganeshyennamsetti8943]

Thank you sir

[@letsgetiton99]

*NOT ALL HEROES WEAR CAPE* my hats off for you sir👏

[@ritishbehera4711]

More confused than before

[@Differendramovies]

Good

[@GaneshGanesh-sl7ns]

Sir I understand but I have few doubts about mpt

[@kunaldeo9679]

Nice video, could you do one on three phase circuits please?

[@ALLABOUTELECTRONICS]

Yes, I will make a video on it.

[@ekhliousful]

what is (wt)?

[@mohfa1806]

in engineering they like to represent sine wave in terms of sin(wt) instead of sin(x) , they are the same . the unit of x is radian and the unit of w is rad/sec.......hope its clear now

[@k.gambit5996]

Omega into time

[@k.gambit5996]

Theta in other words

[@ZPARAUJO]

Tino brought me here

[@nil1473]

face reveal pleasee..and video is 👌as always...

[@poojashah6183]

Follow him on Instagram

[@mayurshah9131]

Superb

[@ajayganvit6713]

Mayur Shah hi

[@venkatalovakumar8614]

I lost my clarity.

[@nilimanila352]

WHY WE TOOK 2Vm^2?

[@ALLABOUTELECTRONICS]

Would you please tell me the exact time in the video, about which you are talking?

[@electricfieldtv709]

Oh my eyes, bring me to psychiatric hospital

[@neerajsaininj1087]

Bhai ya to hindi mein bnao ya accent thik rkho english ka

[@beetogarcia9983]

god this is so hard to understand smh

[@altuber99_athlete]

I didn't understand due to the accent, I'm sorry.

[@ALLABOUTELECTRONICS]

Please use the subtitles. It will help you.

[@sudheerreddy2092]

Remove the sub taitils 😭😭😭 total weast you

[@ALLABOUTELECTRONICS]

You can turn it off manually in the video settings.

[@vishalmahera7497]

bhi yaar Hindi lagvage use keya kro thoda

[@himanshusingh5118]

*Bekar*

[@Sp-ig5id]

Niceee