02 - Why is 3-Phase Power Useful? Learn Three Phase Electricity

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  • เผยแพร่เมื่อ 21 พ.ย. 2024

ความคิดเห็น • 185

  • @ts00500
    @ts00500 3 ปีที่แล้ว +2

    This is great teaching. I am a retired Chemical Engineer who worked in the Power Generation industry. I have specified and purchased numerous High voltage , 3 phase motors during my career. I know all the necessary mechanical aspects to specify a high quality, reliable motor (like a Siemens motor) but none of the electrical theory behind the motor design. These lectures are great at filling in the gaps. I have a lot of respect for EE's. Their mathematical skills put them at the top of the engineering food chain. My son is one. He uses control theory to define many forms of human behavior.

  • @peterhall6656
    @peterhall6656 4 ปีที่แล้ว +1

    I stumbled on this channel. I am 70 and have a PhD which was in Fourier theory. I have worked in defence scientific organisations with some top class electrical engineers. This guy provides an insightful practical analysis of why 3 -phase is fundamental to motors which is far better than many TH-cam pretenders. He has thought this through very well and the maths he gives is sufficient to understand why it works although students should actually perform the algebraic steps to prove the constancy. It is not hard but character building nevetheless. Well done.

    • @MathAndScience
      @MathAndScience  4 ปีที่แล้ว

      Thank you so much! I really appreciate you taking the time to write this. Take care, Jason

  • @adrianteiotu1604
    @adrianteiotu1604 5 ปีที่แล้ว +12

    I've been studying electrical theory for 2 years and electrian for 10 years cannot believe what I'm seeing right now in just 35 menuts. I salute you sir, thank you so much👍

    • @douglasharlan7051
      @douglasharlan7051 3 ปีที่แล้ว

      Why don't you add one diagram showing the three phases along the Xbox axis with phase starting at 0 degrees then phase b starting get at 12.0 degrees and phase c beginning at 240 degrees this may help people visualize the three phases at no load.

  • @engineerauthorpilot
    @engineerauthorpilot 4 ปีที่แล้ว +13

    My new favorite channel...
    Tremendous instructor. I love that he offers "proofs" in great detail for every statement he makes. Too often, professors/teachers/instructors make profound statements, only to lose their students by not fully explaining the content. I've been an instructor/teacher for over 30 years (flight instructor, main occupation is engineering) and have reduced learning to 3 steps: explanation (explain the content), demonstration (demonstrate the content), simulation (apply content to real world scenarios for deeper understanding). To me, this is how this man teaches. No part of his lesson is left undefined or lacking in demonstration.
    He should give lessons to educators on how to teach... IMO.

    • @V21IC
      @V21IC 4 ปีที่แล้ว +1

      I agree with you.
      This is the core of teaching!
      Some 'teachers' can give excellent textbooks explanations. (theories)
      That's it!
      Some 'teachers' can give awesome demonstrations. (examples)
      That's all!
      Some 'teachers' can give an exciting simulations. (applications)
      That's all!
      Theories reinforced by examples with real-world applications really highlights knowledge that leads to a deeper understanding!
      I'm fueled to teach!

  • @AM-dn4lk
    @AM-dn4lk 4 ปีที่แล้ว +14

    You are an amazing teacher. I wished I had a lecturer like you. Great job.

  • @adrianpoly
    @adrianpoly 5 ปีที่แล้ว +26

    i love these lessons. You've done such a good job, you've made them easy to listen to, to understand and enjoyable. All the other tutors on the net I've seen so far can make it seem so much more challenging and confusing. Congratulations on doing so well and making them free and available for anyone to use. You deserve all the credit you can get.

  • @lucyhaule108
    @lucyhaule108 4 ปีที่แล้ว +1

    Hiki kipindi ni kizuri sana,nimejifunza kiurahisi mfumo wa umeme mkubwa na faida zake na kwanini ndio unaopendekezwa katika kuendesha mashine kubwa,Thank you so much.

  • @dono42
    @dono42 10 หลายเดือนก่อน +1

    1) Is a shift of 120 degrees required, or is it possible to talk about N-phase power where N is greater than 3?
    2) I understand that 3-phase power provides constant power, compared to single phase. This discussion reminded me of rectified DC power which also provides constant power. Would it be fair to say that the purpose of 3-phase power is to provide constant AC power like DC but without the need to rectify?

  • @brightburn444
    @brightburn444 ปีที่แล้ว

    that pulley analogy of 3 phase power might be the pov i was looking to throroughly comprehend this concept... great job

  • @johnrusso2278
    @johnrusso2278 5 ปีที่แล้ว

    I never had any training in this field but always have the curiosity to learn. My work experience with power is minimal at best in a large hotel. I watched two back to back videos on 3 phase and have to say this instructor did a great job getting me to understand the lessons. I was lost with wave frequencies and some terminology but quickly picked it up. Watching a few videos that explained 3 phase before this helped.

  • @hli5067
    @hli5067 3 ปีที่แล้ว

    I learned more than I had expected from this single video about 3 phase circuits. The explanation is so clear and vivid. Thanks!

  • @JuanDelaCruz-ekmg
    @JuanDelaCruz-ekmg 3 ปีที่แล้ว

    This is a gem! I can't emphasize this further. To those who can relate to why I am saying this, I'm happy youtube lead you to this video. What a superb way of explaining how efficient 3-phase power is compared to single phase in the application of motors and its accompanying varying vibrations should a person opt to use single phase.

  • @abogombachatin9939
    @abogombachatin9939 6 ปีที่แล้ว

    With all the respect, it is the best explanation ever, I m an electrical engineer and up to this moment, I really understand why it is so useful to shift to the three-phase power system. Thank you

  • @wwabete2009
    @wwabete2009 4 ปีที่แล้ว +1

    This is teaching maths and science to the layman at its very best. Congratulations! I am loving it!

  • @earlgreen8943
    @earlgreen8943 3 ปีที่แล้ว +2

    Jason's method of teaching is absolutely phenomenal. In this lesson in particular, I have never actually had a professor explain the motivation in the real world to use 3-phase power over 1-phase power.

  • @frankimhof8124
    @frankimhof8124 5 ปีที่แล้ว +9

    Wow. I really like the analogy of three people pulling a rope. Thank you so much!

  • @ChaplainDaveSparks
    @ChaplainDaveSparks 5 ปีที่แล้ว +3

    I love this video. I earned a BSEE 43 years ago, and I must have learned all this at some point, but you made it so clear.
    Now I'll have to watch the rest of your series and learn:
    1.) Where did the 60° come from?
    2.) How is it implemented?
    3.) How did someone figure this all out to start with?

  • @dark4evermgk115
    @dark4evermgk115 3 ปีที่แล้ว

    Thank you for this video, I've been solving these in class with no understanding of what is going on but now it's perfectly clear, I also loved the final analogy

  • @amitavachakraborty7599
    @amitavachakraborty7599 7 หลายเดือนก่อน

    If I had teacher like you in my school/ college days ! Thanks a lot -- from India.

  • @arifsheikh2952
    @arifsheikh2952 4 ปีที่แล้ว

    I at times got lost especially with the maths calculation where I am not the best but it was worth watching the video clip. I studied to become an electrician in the 80's and to be honest there was more writing to be done . I think overall you have done a good job....Well done Sir.

  • @topspeed250k5
    @topspeed250k5 2 ปีที่แล้ว

    Another way of looking at it: going back to the vector diagram. Say the "unwanted vibration force" generated by the 'phase a' vector = F.
    The component of the 'b' phase vector in the direction opposite the 'a' vector, equals (opposite over hypotenuse) or sin30degrees, = 0.5. So the force = 0.5F. Same for the 'c' vector. Therefore 0.5F + 0.5F =F, but in the opposite direction to the "a" phase.
    Therefore the forces cancel.
    All three vectors of course rotate around the zero point at the intersection of the axes, but maintain their 120 degree separation relationship.
    So unwanted vibration forces cancel out in 3-phase motors & generators (to a large extent, anyway).

  • @salmann94
    @salmann94 6 ปีที่แล้ว +2

    Great explanation! You may want to consider using the trigonometric identity for cos(a)cos(b) = 1/2(cos(a-b)+cos(a+b). It makes it much easier to see the real and imaginary components of the the instantaneous power.

    • @MathAndScience
      @MathAndScience  6 ปีที่แล้ว

      I really appreciate it!
      View all my Lessons and Courses!
      Visit: www.MathTutorDVD.com

  • @joshuakatumba6644
    @joshuakatumba6644 4 ปีที่แล้ว

    for the first time in 10 years i am seeing why 3 in a motor. good guy!keep it up dont Die of COVID -19

  • @jrod2997
    @jrod2997 3 ปีที่แล้ว

    Your videos are great a little constructive criticism louder mic I had my radio on full blast trying to listen to you and I barely could hear you! Thanks for your help

  • @scottgilsdorf2938
    @scottgilsdorf2938 4 ปีที่แล้ว +1

    Great analogy using the hoist! It's been years since I covered this in class but I do remember coming away confused. Not now! Thanks!

  • @denischarette4245
    @denischarette4245 6 ปีที่แล้ว +2

    At the end, you added 3 instantanious apparent powers (from 3 different sources of voltage or windings). I think you can add only true powers (watts) in this case. That means adding 3 squared sine, which gives a constant wattage (1.5x individual peak wattage). The force supplied through 1 turbine is only for total watts which is constant.

  • @easymac79
    @easymac79 5 ปีที่แล้ว +1

    I no longer fear the topic of three phase electricity! Great video! Thank you so much!

  • @vince6829
    @vince6829 5 หลายเดือนก่อน

    Great analogy at the very end. You are a gifted teacher. Thank you for sharing your knowledge.

  • @geraldkearns7214
    @geraldkearns7214 3 ปีที่แล้ว

    EXCELLENT, SIMPLIFIED AND CLEAR EXPLANATIONS, CLARIFICATIONS AND PRESENTATION! THANK YOU

  • @ronhollenbeck
    @ronhollenbeck ปีที่แล้ว

    I plotted all the power curves using the Desmos App on my phone, very interesting to see the resultant power curve move up and down when varying the phase from -90 to +90.

  • @TonyKimani-r2s
    @TonyKimani-r2s 7 หลายเดือนก่อน

    best explanation I have come across on the internet

  • @fredflintstone1428
    @fredflintstone1428 ปีที่แล้ว

    Great analogy at the end with the engine hoist, well done.

  • @RubyRhod
    @RubyRhod 6 ปีที่แล้ว +37

    this is actually the first video I've seen on youtube that explained the REAL reason why to use 3 phase power: it's because you have continious power. but still missing: why? the reason was in the invention of electric locomotives. locomotives drive a steel wheel on steel rails - this is slippery. if you start to slip because of high power peaks you go from friction coefficient to slip coefficient - so you lose the ability to create pulling force. but with continious power you don't have those peaks and an overall higher power and you create more pulling force.

    • @V21IC
      @V21IC 4 ปีที่แล้ว

      Almost the reason for 4 x 4 trucks. No?

    • @JuanDeSoCal
      @JuanDeSoCal 4 ปีที่แล้ว +3

      RubyRhod IDK, It may be true, but 3-phase predates that application. The tech was invented by Nikola Tesla, who was working with Westinghouse to establish the first semblance of the modern electrical infrastructure we have in world today, with large-scale power generation and long-distance transmission. 3-phase induction was probably the final, key piece that made the system viable based on AC current.

  • @gholamalialmasi8906
    @gholamalialmasi8906 ปีที่แล้ว

    it was great.please show it practically for the next program to be diverse thank you so much

  • @johnkeepin7527
    @johnkeepin7527 5 ปีที่แล้ว

    Well presented using a classic ‘on the board’ presentation technique. While the constant output power for motors is well described, it has only recently become practical to do it for things like traction motors for road vehicles, or trains, with variable frequency 3 phase motors.
    However (when there was no use of such 3 phase motors - low frequency single phase was often used), one of the early reasons for using 3 phase transmission that was explained to me by a lecturer was the economy with regard to the amount of copper, or aluminium cable needed for a given amount of energy, especially bearing in mind that real cable has an element of resistance -> thermal loss in transmission.

  • @samkiryowa1001
    @samkiryowa1001 4 ปีที่แล้ว +1

    Thank you sir for such a detailed simplified explanation.it makes me understand electrical Engineering better.

  • @RahulSharma-iq3vm
    @RahulSharma-iq3vm 2 ปีที่แล้ว

    You explained & demonstrated the subject matter very clearly & succinctly. Thanks for posting.

  • @johnestepa1912
    @johnestepa1912 2 ปีที่แล้ว

    I love the way you teach. How can i follow your previous and succeeding lessons in 3 phase electricity?

  • @tresajessygeorge210
    @tresajessygeorge210 ปีที่แล้ว

    THANK YOU...SIR...!!!
    Requires more reviews...!!!

  • @BS-or6tr
    @BS-or6tr 3 ปีที่แล้ว

    The analogy at the end is PHENOMENAL in case you don't get it already

  • @jeffdingle9677
    @jeffdingle9677 2 ปีที่แล้ว +1

    Also with a balanced three-phase motor, the bearings and bushes don't wear out unevenly due to any vibration or shaking...

  • @MisterBinx
    @MisterBinx 6 ปีที่แล้ว +4

    Great video. This helps me understand why Tesla's induction motors work. Induction motors are amazing.

  • @isaiahteye2305
    @isaiahteye2305 2 ปีที่แล้ว

    Dear,sir. You are excellent teacher, l wish alway to listen to you .

  • @williamwatkins4961
    @williamwatkins4961 5 ปีที่แล้ว

    Best teacher I've ever listened to we'll educated man on electric

    • @MathAndScience
      @MathAndScience  4 ปีที่แล้ว

      So happy you liked it!
      Jason, MathAndScience.com

  • @ronlevine8873
    @ronlevine8873 2 ปีที่แล้ว

    Wonderful explanation for a non-engineer. But in the more general case, homes can also be supplied by 3-phase power. Does 3-phase power offer advantages for circuits without motors?

  • @tmst2199
    @tmst2199 4 ปีที่แล้ว +1

    14:30: "Inductors and capacitors are probably manifestations of the same thing, seeing as how electricity and magnetism are so tightly bound together." Intriguing statement. I'd love to hear any ideas you might have about this, because it's really messing with my head.

  • @waynedavis1099
    @waynedavis1099 6 ปีที่แล้ว +3

    stumbled on your chanel,you are a great comunicater of physics,really good rythm and pace in your dilivery,and internation
    that is perfact,and your passion shines through,best ive seen,you have inspired me,thank you,great job.

  • @akbarrahmatullah2205
    @akbarrahmatullah2205 6 ปีที่แล้ว +1

    Very good. Might be an idea to show the vibrations both in single phase and 3 phase motors (?!).

  • @vinayb5076
    @vinayb5076 3 ปีที่แล้ว

    Excellent teaching sir 👌👌👌

  • @vansf3433
    @vansf3433 ปีที่แล้ว

    The formula P= vi = i^2R already tells you it is dissipated energy in the form of heat which is caused by the collision among free electrons in the resistive load, and the whole conducting circuit. Their collisions cause frictional forces which converts electrons' kinetic energy into thermal energy
    You can have zero phase(Φ=0) only when you have a circuit in resonance in which both voltage and current signals are in phase. It's better to use sine function graph to express AC with the initial voltage value = 0

  • @kssandhu4693
    @kssandhu4693 3 ปีที่แล้ว

    Amazingly beautiful teaching Sir, Even a dinosaur like me can understand it..studied these fundamentals in 1972 2nd yr college..thank you n more power( 3 phase) to you sir..😀

  • @pstrada59
    @pstrada59 2 ปีที่แล้ว

    Good stuff! ... however, did you not forget to say that, in order to obtain a constant value, Pa, Pb and Pc should be summed in quadrature, that is you should take the root sum of the squares (RMS)?

  • @JustMe-to8te
    @JustMe-to8te 2 ปีที่แล้ว

    Excellent analogy at the end.

  • @todorterziev9872
    @todorterziev9872 5 ปีที่แล้ว +1

    Your explanations are so clear and easy to understand ! Thank you and good work .

  • @davidwensboposaric5498
    @davidwensboposaric5498 2 ปีที่แล้ว

    We're all happy to see a flat-line... when it comes to electrical motors and not muscular ones.

  • @piecetoyou8285
    @piecetoyou8285 3 ปีที่แล้ว

    Without stating the obvious how good these lessons are, but I don`t have to well of wiring on motors never a good under standing on ohms law but I would like your opinion on this question please. What is better `in torque to use a 3 phase motor with the correct rating capacitor wired to it and wired up correctly for it to run as a single phase on a 230v-240v electricity
    Or a single phase 230v-240v motor on a 230v-240v

  • @benaugustine6863
    @benaugustine6863 2 ปีที่แล้ว

    Please Jason, can you bring us Fourier Analysis and Fourier Transform

  • @ear4funk814
    @ear4funk814 4 ปีที่แล้ว

    Yep ... the real deal ... that's why I purchased the lessons online.

  • @franklinelel
    @franklinelel 3 ปีที่แล้ว

    Loved your explanation. You mentioned using multiple windings as a trade-off for using three phases sources. is it possible to have all three balanced sources connected in series so that they can automatically add up before being delivered to a single winding?

  • @geckoproductions4128
    @geckoproductions4128 3 ปีที่แล้ว

    Interesting lessons. Reminds me of tech school in early seventies. I stayed with you for punch line, but what I REALLY want to know is how much more efficient is 3 ph when running a motor. So, single phase motor is 30-40% efficient in turning power in watts into work. What (theoretically) would a 3ph motor be? Put another way, is a 3ph motor theoretically 3 times more efficient than 1 ph?

  • @rdl4028
    @rdl4028 5 ปีที่แล้ว +2

    always the best lesson thankyou for the effort

  • @santiagobernal955
    @santiagobernal955 4 ปีที่แล้ว

    This guy is a totally LEGEND!!

  • @fitnessdevolution
    @fitnessdevolution 6 ปีที่แล้ว +3

    I'm really loving your videos. What do you think of using - for your final analogy, a single cylinder engine and a three cylinder engine to represent power /time? Btw. I'm making my son watch your videos... thanks!

  • @Bicyclefarms
    @Bicyclefarms 6 ปีที่แล้ว +20

    I love the three one-armed man analogy at the end. “... and a threefold cord is not quickly broken.”

  • @lipsigoud1901
    @lipsigoud1901 2 ปีที่แล้ว

    I can't say the words ..its awesome & amezing

    • @MathAndScience
      @MathAndScience  2 ปีที่แล้ว

      Thanks!

    • @lipsigoud1901
      @lipsigoud1901 2 ปีที่แล้ว

      @@MathAndSciencefrom your channel i started learning yesterday onwards. i started from Engeneering circuits V1 & i listened first 3 lessons.it was amazing & then after 4th lesson onwards (from power calculation) it was completely incomplete upto 20th lesson.May i know what's the reason...

  • @Ceorolus
    @Ceorolus 5 ปีที่แล้ว

    This video was very good and I enjoyed understanding the resultant power output due to capacitive and/or inductive reactance.

  • @Ibrahim-xc9uy
    @Ibrahim-xc9uy ปีที่แล้ว

    you're a life savior !!!

  • @emmetglyde8853
    @emmetglyde8853 5 ปีที่แล้ว

    Excellent presentation but was wondering how much more power does three phase give compared to single phase

  • @clemsmith2253
    @clemsmith2253 3 ปีที่แล้ว

    architect here trying to figure out why we spec single or three phase beyond 'less demand, more demand'. thank you

  • @rajehhuawei1588
    @rajehhuawei1588 4 ปีที่แล้ว

    Thank you for this video sire. It was very helpful and efficent👌.
    To show that in three phase the power pa+pb+pc=constant, we may use fresnel construction? (using the projection of rotating vectors)??

  • @honestman276
    @honestman276 3 ปีที่แล้ว

    Thanks. From Bangladesh.

  • @danielfranchette5547
    @danielfranchette5547 3 ปีที่แล้ว

    polyphase (three-phase in this case) quite simply because single-phase machines in motor or generator operation are an energy catastrophe (see Leblanc's theorem on rotating fields). They are limited to low powers

  • @chamzdil
    @chamzdil 4 ปีที่แล้ว

    thank you so much. you took much time and explained it so nicely..... once again thanks a lot

  • @thobekilemoyo5430
    @thobekilemoyo5430 6 ปีที่แล้ว +5

    when are you uploading other videos with wye and delta etc

  • @digiparts2340
    @digiparts2340 6 ปีที่แล้ว

    Thanks, really help understanding the new concept that not mentioned in our class.

  • @smasica
    @smasica 4 ปีที่แล้ว

    You're a heckuva teacher. Thanks.

  • @daviddudek4738
    @daviddudek4738 4 ปีที่แล้ว

    Great explanation!

  • @kuldeepsinh16
    @kuldeepsinh16 3 ปีที่แล้ว +1

    Can anyone tell me from where can I get full electrical engineering course explained by this professor!

  • @richardkapolyo9004
    @richardkapolyo9004 4 ปีที่แล้ว

    Thank you Sir,easy to understand.

  • @WorldEngineersOnline
    @WorldEngineersOnline 6 ปีที่แล้ว

    Very good. Does this implies that 3 phase supply would not be suitable to run Non Rotating type appliances like lights, power sockets?

  • @erezCOOK
    @erezCOOK 2 ปีที่แล้ว

    Great! This was absolutely amazing!

  • @KevinCoop1
    @KevinCoop1 4 ปีที่แล้ว

    Why 3 phase? Tesla worked on 2, 3, 4, and 6 phase systems. The original generators at Niagra Falls were 2 phase. He decided that 3 phase would be the standard because it did the work well enough and adding more phases was economically not a good choice.

  • @ahmedAlmahdi2000
    @ahmedAlmahdi2000 3 ปีที่แล้ว

    Thank you!
    You are a real hero!
    Proud of u!!
    Peace

  • @tteariki330
    @tteariki330 4 ปีที่แล้ว

    Can I please have your course materials or register for your online courses and refresher as Im an first year apprentice that had been
    away for medical reasons.
    now coming back after sometime I've lost touch with stuff but not all.
    A lot of what you're teaching now rings a bell but still, I need to catch up and polish up before I return to class room environment when my medical situations improve.
    Thank you.

    • @MathAndScience
      @MathAndScience  4 ปีที่แล้ว

      Hi, absolutely. Just visit www.MathAndScience.com and you can sign up and view all courses, all lessons, etc. I suggest starting at the beginning of the AC analysis sequence and going in sequence with me. I break everything down. Thank you and good luck in your studies! Jason

  • @james77011
    @james77011 5 ปีที่แล้ว +1

    inductors and capacitors love 😍 each other 😘😍

  • @jerusalemdelacalzada
    @jerusalemdelacalzada 5 ปีที่แล้ว +1

    Thank you very much, Sir. A good explanation. I got it.

  • @OceanCam1
    @OceanCam1 4 ปีที่แล้ว

    1st punchline 20:30 (listen for 30 seconds)
    2nd punchline 29:29 (listen for 60 seconds)

  • @federicomaisch6812
    @federicomaisch6812 4 ปีที่แล้ว

    Thank you, great information

  • @GavinLon
    @GavinLon 5 ปีที่แล้ว

    Excellent video. Thank you.

  • @gregorykotoch5045
    @gregorykotoch5045 ปีที่แล้ว

    Do you have a video on phase angles?

  • @nazanwar6469
    @nazanwar6469 5 ปีที่แล้ว

    Thanks, it was great watching your videos very informative and simple to understand

  • @ozanozhan6899
    @ozanozhan6899 3 ปีที่แล้ว

    excellent

  • @billcoffman7380
    @billcoffman7380 6 ปีที่แล้ว +1

    Basically each phase overlaps each other. So there is a constance.

  • @TriPham-sn9jj
    @TriPham-sn9jj ปีที่แล้ว

    The three phases is good for computer system to drive 3timers like CPU , memory , and ram like human brain and life with Earth frequency , sun frequency , and moon frequency and infinity memory come automatically

  • @brianmcdonough1685
    @brianmcdonough1685 4 ปีที่แล้ว +1

    Help at 3:52. If I went to phasor land and multipled the original volts time amps I would get V*I@angle(thetaV+thetaI). After doing the phase shift (and the formal published power formula) I am now at (thetaV MINUS thetaI). How do I reconcile this mathematically

  • @kelvinscott1517
    @kelvinscott1517 6 ปีที่แล้ว +1

    I'm looking for the next sequence to this video ,can anyone please help?

  • @olegig5166
    @olegig5166 4 ปีที่แล้ว

    Just found this on TH-cam. I have no formal education in electrical engineering, but I have a question from experience.
    A motor driven by 120 volts has 3 wires, load, neutral, & ground; so why does a motor powered by 240v only have 2 wires?

  • @nosisimtila7768
    @nosisimtila7768 6 ปีที่แล้ว +3

    Very helpful👌

  • @curtisadams43
    @curtisadams43 4 ปีที่แล้ว

    I love this guy!! Great tutoring vids!! Thank you.

  • @AlperGenc79
    @AlperGenc79 ปีที่แล้ว

    I wish I was one of your students.