Electrical Engineering: Ch 18: Fourier Series (15 of 35) Find the Fourier Series: Ex.

[@allthingsTusha]

You Sir are my friend atleast in my head haha...am an engineering student and I have learnt so much from you. Watching your videos is always a highlight for me

[@MichelvanBiezen]

Keep working hard on your studies. (Glad I can be part of it).

[@LuizaCarvalheira]

I can't even begin to explain how great of a teacher you are. Thank you!!!

[@CaliCity10]

I swear this man is an absolute genius.

[@MichelvanBiezen]

Far from it, but I appreciate the comment.

[@Godsent412]

I always think like you know me. I VALUE EVERYTHING YOU'VE TAUGHT ME, you helped me pass Physics and Engineering mechanics with a very good grade

[@MichelvanBiezen]

Good job! Glad we were able to help.

[@lupulwedanny7757]

sir you definitely the best lecture . you have made my engineering studies so easy

[@MichelvanBiezen]

Glad you found our videos and you found the helpful. 🙂

[@curtpiazza1688]

I learned more in less than 15 min. than in a standard 50 min college lecture! 😊

[@MichelvanBiezen]

Glad you find these videos helpful. 🙂

[@JohnnyYenn]

Congratulations on crossing the 100,000 subscriber mark!! Very well deserved :)

[@MichelvanBiezen]

Thank you.

[@MyThundermuffin]

Agreed !

[@MyThundermuffin]

Congrats Mike :D

[@sunilkumar-wm3ly]

T/2< t

[@trianshi]

sir, I am from India and am truly beyond blessed to get an opportunity to study from you. Thanks a lot!

[@MichelvanBiezen]

Welcome to the channel! We are glad you found our videos! 🙂

[@Godsent412]

Sir, your wisdom has saved me!

[@dm4795]

saved 1 hour thanks to you

[@ARCADEGHOST]

Thank you so much!!! I appreciate you taking the time to explain and work out the problem.

[@MichelvanBiezen]

Glad it helped!

[@am9934]

I watched all your video your explination it's so Great !!!so share &add a new video i think that you are good teacher

[@bobwhite137]

Work smart, not hard... 😀. Recognize that triangle wave is the integral of a square wave which has a trivial Fourier series. It’s also trivial to integrate those terms. Nothing at all wrong with the approach shown here - but this is a good trick to remember.

[@LazyOwl77]

God bless you professor ... finally I got it clearly

[@thesparkingwire]

I was making mistake while writing the line equation equation f(t) for 0 to T/2... Thankful to you sir.

[@MichelvanBiezen]

Glad this was helpful.

[@am9934]

Thanks siir ***i'm frm Morocco & all these video help me so much !!!!!!Thanks so &so siir

[@MichelvanBiezen]

Welcome to the channel!

[@samiollah112]

When you find a(n) ==> where period is (2/T) from Fourier formula, and your integrating between (T/2 and 0) for function f(t), using (y=mx+c) I have found that f(t) is (2A/T)*t ==> Now a(n) becomes (2/T)*(2*A/T)= (4A/T^2)*integral(t)cos(wnt) dt==> where did you get the (8A/T^2) from (for a(n) ?

[@MichelvanBiezen]

In this example the period is T/2 (we are only integrating the first part of the sawtooth, since the second part requires a different equation. Thus 2/(T/2) = 4/T

[@byronperalta8594]

@3:18 He says that he doubles the amplitude because he integrates over half the period. Could someone provide some more detail to me?

[@MichelvanBiezen]

It is a standard integration method that takes advantage of the symmetry. Integrate over half the sawtooth and then double the results.

[@richieovandorincon8455]

Hey do you have any videos using Fourier series to find values such as i(t) and vo(t) thanks

[@dalench4267]

좋은 강의 감사합니다! 완벽한 설명이었어요!

[@MichelvanBiezen]

Thank you. Glad you liked it.

[@keshavpj1711]

Hi Michel first of all thank you for these amazing lectures, also i would like to ask if you were to cover these lectures till 35 what topics would you have covered. Hoping for a quick reply. And once again thank you so much for all the content.💖💖💖💖💖💖💖💖

[@MichelvanBiezen]

Great suggestion!

[@ahmedal-ebrashy3691]

LOVEEED IT! Ce très magnifique!

[@MichelvanBiezen]

Mercy tres biens

[@felipebm13]

Very good class. How can I represent Parseval's identity using your notation for the Fourrier Series?

[@desmondnduma2082]

In the second part of the integral from T/2 to T, I don't understand where the 2A came from. You substracted 2A-2A/T

[@MichelvanBiezen]

That is based on applying the y = mx + b equation from algebra, in order to express both sides of the saw tooth by a linear equation.

[@desmondnduma2082]

@@MichelvanBiezen Thank you sir. It now makes sense

[@mathsisthelife5316]

Hi MR michel How are you ? I want ask you about the reference you used for explanation ????/ thanks very much for your attention MR.

[@MichelvanBiezen]

We use multiple references to make our videos.

[@rit0838]

What if the wavelenght is smaller than T/2? Would you multiply the integral by 2 or 1?

[@MichelvanBiezen]

Whenever the function f(t) is not zero, you will have to integrate over that portion.

[@carlosgines9530]

muchas muchas muchas gracias las explicaciones son muy claras.....

[@prasanth5046]

I try to find " bn" the value exists..... It doesn't obeys the symmetry rule

[@zainulhaq6924]

Because you integrate the one half of function only

[@sheeralum2385]

@@zainulhaq6924 Why doesn't this cause problems with the values of an? Or does it?

[@Catalingeorgedum]

Thank you, it is very useful , keep going :D

[@vibrationgh7435]

sir I don't understand where why we had the 2A / T . can you please explain it to me

[@MichelvanBiezen]

That is derived from the linear equation y = mx + b Where m is the slope and b is the y intercept. In this case the slope = rise / run = A / (T/2) and the y intercept is zero.

[@kutuhalatheplaceforcurious2531]

@@MichelvanBiezen please explain that in range T/2 to T

[@ernestbeckham2921]

Thank you professor 💖💖. Could you please upload more videos related to Fourier series 😊

[@MichelvanBiezen]

Yes, that is one of the playlists we haven't completed yet. A work in progress.

[@ernestbeckham2921]

@@MichelvanBiezen ok professor ☺️

[@darwin260695]

Thank you a lot professor :)

[@RockOfGreece]

learning about dc power supplies in electronics class where the almost-dc output of them is approximated by a triangular wave. And my professor just said "look up the fourier series of a triangle wave". And here I am. Without you sir I would be lost with such incompetent people teaching me in real life

[@MichelvanBiezen]

Yes, when I was a student I felt lost often. I always thought to myself, if I already knew how to do that, I wouldn't be in this class. Glad we were able to help.

[@RockOfGreece]

@@MichelvanBiezen Exactly my thought like how am I supposed to know that? You are an excellent teacher keep up the great work!

[@devchris]

how did you get "(2A/T)t" for 0

[@semiconductor9149]

By finding the equation of line /

[@alvaromendoza3337]

Wow. Great Video! Thanks.

[@MichelvanBiezen]

You're welcome!

[@kutuhalatheplaceforcurious2531]

How to show bn is zero

[@khuyagmaidarmr.4065]

it was really helpful. :D

[@oggamer2244]

How did you find the equation for the ramps ? Plz help me

[@MichelvanBiezen]

Extend each ramp outward in both direction and the extended line will cross over the vertical axis. Then you can fine the equation for the line in the form: y = mx + b

[@oggamer2244]

@@MichelvanBiezen thank you

[@omerejaz5152]

how can i contact you?i want to ask some question please.

[@MichelvanBiezen]

We try to answer question on the videos like this if time permits.

[@pajaraska]

very good!

[@ahmadjyusri882]

thanks sir, we hope learn your lecture by subtitle Melayu or Indonesia.

[@blackbuddhaa]

thank you.

[@YTEFAN1]

Thank you!!!

[@suryanshpandey1306]

Thanks sir

[@kennyclassic6307]

hi can you help me on deriving the fourier series

[@MichelvanBiezen]

If you watch the first 7 videos in the playlist, you'll get a pretty good understanding of what the Fourier series is and how it is derived.

[@kamildino]

why we doesn't used the (2A-2A/T)

[@MichelvanBiezen]

Graph it out and see if it works.

[@kamildino]

Michel van Biezen okay thank you very much for this work continue to best

[@matthewterry5714]

THANK YOU!

[@dogamertaydogan2803]

Thank you

[@JohnSmith-gf3vz]

13:27

[@ramyad5]

perfect perfect perfect

[@MichelvanBiezen]

Thank you. Glad you liked our videos.

[@KkbrucekK]

I think you made a mistake cos(n*pi)=(-1)^n

[@rittwikchatterjee5347]

Epic..

[@sophie-wg5iq]

king

[@shahinurrahman6400]

Thank you!!!

[@MichelvanBiezen]

you are welcome