Introduction to Operational Amplifier: Characteristics of Ideal Op-Amp

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  • เผยแพร่เมื่อ 15 มิ.ย. 2024
  • In this video, the basic introduction of the Operational Amplifier (Op-Amp) has been given and different characteristics of ideal and real Op-amp (General Purpose 741 Op-Amp) has been discussed.
    What is Operational Amplifier:
    Operational Amplifier is one kind of Very High Gain Differential Amplifier with a single output.
    Using this Op-Amp it is possible to perform different mathematic operations (by connecting few external resistors and capacitors) like addition, subtraction, integration, differentiation etc. And that is why it is known as Operational Amplifier.
    Opamp consist of two inputs :
    1) Inverting Input
    2) Non-Inverting Input
    The output of the Op-amp in open loop configuration is the product of open-loop gain and the difference between two inputs.
    As, the gain of the Op-amp is very high, so in open loop configuration, even a small input signal will saturate the op-amp output. And the saturation voltage depends on the biasing voltages.
    Characteristics of Ideal Op-amp:
    1) Infinite Input Impedance
    2) Zero Output Impedance
    3) Infinite Voltage Gain
    4) Infinite Bandwidth
    5) Infinite Slew Rate
    6) Infinite Common Mode Rejection Ratio (CMRR )
    7) Zero input offset voltage (Output is Zero when input is Zero)
    The timestamps for the different topics covered in the video is given below:
    0:37 What is Operational Amplifier and Why it is known as Operational Amplifier?
    1:17 Circuit Symbol of Op-Amp and Op-Amp in the open loop configuration
    5:00 Voltage Transfer Curve of op-amp
    7:24 Equivalent Circuit of the Op-amp
    7:47 Ideal Op-amp characteristics
    12:00 Characteristics or different parameters of General Purpose Op-Amp (741)
    Check this playlist for the more Solved Examples on the op-amp:
    • Operational Amplifier ...
    This video will be helpful to all students of science and engineering in understanding the Operational Amplifier and its different Characteristics.
    #OperationalAmplifier
    #OpAmp
    #CharacterisitcsofIdealOpAmp
    Follow me on TH-cam:
    / allaboutelectronics
    Follow me on Facebook:
    / allaboutelecronics
    Follow me on Instagram:
    / all_about.electronics
    Music Credit:
    www.bensound.com/
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ความคิดเห็น • 775

  • @ALLABOUTELECTRONICS
    @ALLABOUTELECTRONICS  6 ปีที่แล้ว +243

    The timestamps for the different topics covered in the video:
    0:37 What is Operational Amplifier and Why it is known as Operational Amplifier?
    1:17 Circuit Symbol of Op-Amp and Op-Amp in the open loop configuration
    5:00 Voltage Transfer Curve of op-amp
    7:24 Equivalent Circuit of the Op-amp
    7:47 Ideal Op-amp characteristics
    12:00 Characteristics or different parameters of General Purpose Op-Amp (741)
    Check this playlist for the more Solved Examples on the op-amp:
    th-cam.com/play/PLH9R5x7JVXCFFScqREEGiFCSyKVM3RTM8.html

    • @anujkondhalkar9776
      @anujkondhalkar9776 6 ปีที่แล้ว +1

      Very good explained.

    • @rkdhorwal9628
      @rkdhorwal9628 6 ปีที่แล้ว +1

      sir please, in hindi

    • @PlayNow2
      @PlayNow2 5 ปีที่แล้ว

      May I know the software and hardware used to pRoduce such awesome video

    • @vijaydubey8000
      @vijaydubey8000 5 ปีที่แล้ว +3

      ALL ABOUT ELECTRONICS

    • @debrajdas6269
      @debrajdas6269 5 ปีที่แล้ว

      What softwares and hardware do you use for writing on screen?

  • @baap2499
    @baap2499 3 ปีที่แล้ว +385

    Wasted time and did not study during entire semester.
    12 hrs before exam : Random Indian guy on TH-cam explains entire concept perfectly.

    • @Truth_Seeker1202
      @Truth_Seeker1202 3 ปีที่แล้ว +2

      haha ikr

    • @shreyassaireddy9826
      @shreyassaireddy9826 3 ปีที่แล้ว +16

      Just started now. Have my endsem at 9am tomorrow

    • @abhinavkumarr
      @abhinavkumarr 3 ปีที่แล้ว +2

      @Mind Boggling Tech MBT online or offline?

    • @teluguwiki429
      @teluguwiki429 3 ปีที่แล้ว +2

      @Mind Boggling Tech MBT offline for us😭

    • @abhinavkumarr
      @abhinavkumarr 3 ปีที่แล้ว +2

      @Mind Boggling Tech MBT mine offline

  • @anwarulhoda7636
    @anwarulhoda7636 6 ปีที่แล้ว +218

    The whole videos of opamp in youtube can't be better than you. Thank you so much

  • @mr_unfortunate_16_11
    @mr_unfortunate_16_11 3 ปีที่แล้ว +580

    Why don't you guys teach on Universities ?? This video is much more usefull than online useless classes. Your Way of teaching is just awesome sir 👌👌❤️❤️

    • @Jaishriram747
      @Jaishriram747 2 ปีที่แล้ว +39

      Pagal hai kya , jo nahi padh sakte University me vo bhi padh lenge online me aur jo vaha padhte hai vo bhi padh lenge. Online is best.👍

    • @cpt.mac_tavish5722
      @cpt.mac_tavish5722 2 ปีที่แล้ว +33

      Because Universities think, Who Can Study also can Teach.... I mean they want Ph. D. Scholars, they don't see 👀 Their Passion for Teaching Dude... 🥺

    • @prabhaskoya
      @prabhaskoya 2 ปีที่แล้ว +18

      If they are at University how can they teach good education to all the world😉

    • @nimnim5149
      @nimnim5149 2 ปีที่แล้ว +10

      Fir humne kaun padhaega ? :')

    • @akatsuki8398
      @akatsuki8398 ปีที่แล้ว +10

      In Universities we have those Boring professors😩

  • @philangezwiliwamtshengu1909
    @philangezwiliwamtshengu1909 3 ปีที่แล้ว +315

    I just appreciate that you taught it in english, many just teach in hindi. Keep up the good work

    • @deepaks7015
      @deepaks7015 3 ปีที่แล้ว +27

      Same problem bro, though I am a Indian ( south India)

    • @user-fe8de2gu5v
      @user-fe8de2gu5v 3 ปีที่แล้ว +6

      @@deepaks7015 What language do you speak? (besides english)

    • @deepaks7015
      @deepaks7015 3 ปีที่แล้ว +13

      @@user-fe8de2gu5v ( தமிழ்) - Tamil

    • @Iamjgt2162
      @Iamjgt2162 3 ปีที่แล้ว

      @@deepaks7015 sapadu saptiya

    • @sakthivishvanathan9820
      @sakthivishvanathan9820 3 ปีที่แล้ว +1

      @@deepaks7015 💪😎

  • @gabrielthe
    @gabrielthe 4 ปีที่แล้ว +411

    you just saved my semester. the slides from my class were incomprehensible and i couldn't find a better explanation than yours all over the internet. thank you so much!!!

    • @amirbin4998
      @amirbin4998 4 ปีที่แล้ว +9

      do you guys even have slides?

    • @itspurelypassionate
      @itspurelypassionate 4 ปีที่แล้ว +4

      same here! Thanks to you man

    • @Yiannis2112
      @Yiannis2112 3 ปีที่แล้ว +6

      Thank god for yt lectures! Otherwise what profession would you follow? Next time get a bloody book. Ever heard of those? Names like Malvino, Neamen, Horowitz and Terrel must be names of comic heroes, if you were forced to guess.

    • @gabrielthe
      @gabrielthe 3 ปีที่แล้ว +20

      Yiannis2112 wow you must be fun at parties. if you actually get invited at all.

    • @Yiannis2112
      @Yiannis2112 3 ปีที่แล้ว +2

      @@gabrielthe Totally irrelevant. At least I got a degree and working on the field. As for you keep on partying and you'll go high places.

  • @prof111
    @prof111 4 ปีที่แล้ว +65

    excellent video. I am a university teacher in Electrical Engineering. I would say that the way you have presented the information in a condensed form is simply marvellous. Highly recommended.

  • @gerhenry7127
    @gerhenry7127 5 ปีที่แล้ว +30

    Explanation of saturation voltages are very clear in the graphs, good job!

  • @GR3G1987
    @GR3G1987 4 ปีที่แล้ว +12

    Thank you and greetings from french caribbean islands.😊

  • @anujawasthi5838
    @anujawasthi5838 ปีที่แล้ว +13

    Amazing Lectures. Thank you so much sir, I got internship at Texas Instruments by clearing my concepts through your videos.
    Thanks a lot for such amazing explanation.

  • @sailorastra8174
    @sailorastra8174 6 ปีที่แล้ว +128

    thanks a lot. i dont usually comment but i am really thankful.

    • @abanteegangopadhyay6612
      @abanteegangopadhyay6612 3 ปีที่แล้ว +1

      omg are you an exo l?

    • @sailorastra8174
      @sailorastra8174 3 ปีที่แล้ว +1

      @@abanteegangopadhyay6612 yesss

    • @abanteegangopadhyay6612
      @abanteegangopadhyay6612 3 ปีที่แล้ว +1

      @@sailorastra8174 that's great! I came here coz of my project work and found an EXO-L...really unexpected😂😂❤❤

    • @sailorastra8174
      @sailorastra8174 3 ปีที่แล้ว +2

      @@abanteegangopadhyay6612 good luck w ur project fellow exo l!!

    • @abanteegangopadhyay6612
      @abanteegangopadhyay6612 3 ปีที่แล้ว +1

      @@sailorastra8174 Haha good luck to you too for your future! Fighting!💕💕

  • @siddhantIITDh
    @siddhantIITDh 5 ปีที่แล้ว +16

    Thank you so much for the video as well as the wishlist videos. Finally, I understood everything. Now I can ace my exam :)

  • @extramail1775
    @extramail1775 ปีที่แล้ว +6

    Seriously sir this lecture is much much much better than big universities courses.
    Thank you for teaching on youtube. 🙏🏻🙏🏻🙏🏻

  • @shreyanshmehra8587
    @shreyanshmehra8587 3 ปีที่แล้ว +16

    Thank you so much for these videos, they are the only reason I was able to understand and clear my digital systems course. Thank you sir!!! Really appreciate the efforts you put into your videos.

  • @hightttech
    @hightttech 4 ปีที่แล้ว +10

    Well Done. The comparison of practical to "IDEAL" really helped me.

  • @tpsicmin
    @tpsicmin 2 ปีที่แล้ว +3

    Amazing Explanation
    Grasped the concept

  • @aagambakliwal3654
    @aagambakliwal3654 3 ปีที่แล้ว +4

    We appreciate the professionally made video. Cleared all my doubts. You are a legend

  • @abhishekbansode2062
    @abhishekbansode2062 4 ปีที่แล้ว +24

    Great video clearing all the necessary topics! Keep it up! 💯

  • @NyanoCare
    @NyanoCare 4 ปีที่แล้ว +11

    i didn't understand it in 1 hour class time but got clear in 13 min , thanks for the video, keep uploading more..

  • @SuperKishore108
    @SuperKishore108 6 ปีที่แล้ว +29

    you are the best. I am doing self study on op amps by your videos. please make videos of adc and dac. this topic is very important for competitive exams

    • @circuitsanalytica4348
      @circuitsanalytica4348 3 ปีที่แล้ว

      Dear Pammi, I had uploaded videos in the topics you mentioned. ....

  • @hetav6714
    @hetav6714 3 ปีที่แล้ว +11

    I am speechless. You nailed it!

  • @user-ll1ze8sh2p
    @user-ll1ze8sh2p 3 ปีที่แล้ว +12

    Clear explanation and good teaching. I spend many hours to read the reference books after my professor's lecture, but I can't understand completely .
    You make me understand the concept within one hour, well done !

  • @MightyTechGuy
    @MightyTechGuy 6 ปีที่แล้ว +16

    Your are simply the best...:)

  • @rahulbhati9748
    @rahulbhati9748 5 ปีที่แล้ว +6

    THANK YOU so much sir this playlist is perfect for learning op amp

  • @DarknoorX
    @DarknoorX 3 ปีที่แล้ว +8

    Thanks to my maths teachers years ago, the accent was np.
    This was simple and well done. Great job.

    • @Parthj426
      @Parthj426 หลายเดือนก่อน

      what??

  • @ureyespy
    @ureyespy 5 ปีที่แล้ว +9

    Excelent way of teaching and expressing concepts !!

  • @ushamehra2755
    @ushamehra2755 4 ปีที่แล้ว +8

    This is what I'm looking for... Thanks for saving my semester

  • @noweare1
    @noweare1 5 ปีที่แล้ว +6

    Another excellent video. Thank you !

  • @vigneshkumarbe8258
    @vigneshkumarbe8258 2 ปีที่แล้ว +1

    many doubts which persisted for a long time get bursted after watchng this...Hearty .. Thank you...

  • @deepajayanp8074
    @deepajayanp8074 3 ปีที่แล้ว +8

    Sir, you have got an excellent way of explaining different concepts that too in a practical point of you.Your lectures are really helpful in getting a better idea about the basic concepts in electronics

  • @chxrry7157
    @chxrry7157 4 ปีที่แล้ว +7

    i have an exam tomorrow and op amp is in chapter 4. i have 7 chapters in total and u just saved my semester bruh !!! 3 more chapters to go. keep up the good work. thank u for the very helpful video!

    • @Cm-zc2zx
      @Cm-zc2zx ปีที่แล้ว

      Lol same..
      Board exam is on day after tomorrow 😂😂😅

  • @albionslayah3292
    @albionslayah3292 6 ปีที่แล้ว +11

    Awesome explanation helped me a lot for my exams!

  • @simrandeepkaur9414
    @simrandeepkaur9414 5 ปีที่แล้ว +35

    Sir u were great, I actually understood every part of this amazing lesson ✌✌✌✌💗 keep up da good work sir 🤗🤗🤗

  • @thecircuitguy541
    @thecircuitguy541 ปีที่แล้ว +6

    to all eee students who think eee is hard...you just haven't found this channel till now

  • @maitrydey6656
    @maitrydey6656 2 ปีที่แล้ว +2

    really helped 1 day before exams

  • @omarmagdi2732
    @omarmagdi2732 2 หลายเดือนก่อน +1

    hope that Professors were that good! People working their Hass off to make something that good , like you, should be the Professors

  • @InvictusM0n
    @InvictusM0n 4 ปีที่แล้ว +4

    thank you so much, you saved my 12 hsc paper. Textbook language is very complicated

  • @kcetandvtuupdates1288
    @kcetandvtuupdates1288 4 ปีที่แล้ว +1

    Best youtuber for electronics

  • @srivatsaa.r.9936
    @srivatsaa.r.9936 5 ปีที่แล้ว +4

    sir
    yr video on INTRODUCTION TO OP_AMP Is outstanding And exceptionally clear in making me understand its functioning. This Is the 2nd time i watched this video and i just cannot explain how WELL u taught HERE.
    thanks
    s.vatsa

  • @gtbweo
    @gtbweo 5 ปีที่แล้ว +2

    Incredibly clear, amazing video

  • @EstherRani2191
    @EstherRani2191 5 ปีที่แล้ว +7

    thank you so much for neat explaination....

  • @hariharanvaradarajan5270
    @hariharanvaradarajan5270 6 ปีที่แล้ว +11

    This is a wonderful channel and I am going to tell my juniors to study basics through this!!

    • @circuitsanalytica4348
      @circuitsanalytica4348 3 ปีที่แล้ว +2

      Dear friend, you will find similar videos explained in a more simple way....

    • @pasupuleticreationspasupul8475
      @pasupuleticreationspasupul8475 6 หลายเดือนก่อน

      @@circuitsanalytica4348 bro suggest some channels which can explain in a simply way

    • @pasupuleticreationspasupul8475
      @pasupuleticreationspasupul8475 6 หลายเดือนก่อน

      ​@@circuitsanalytica4348bro i am from diploma we want videos which gives us marks without reading books

  • @anshraii2670
    @anshraii2670 3 ปีที่แล้ว +2

    Sir ..with honesty ..this was the best explanation. I swear my professor is not able to teach us like this . But you are gem sir... I don't know how to thank you sir

  • @sumitraghav3609
    @sumitraghav3609 5 ปีที่แล้ว +8

    Great job sir.. ur videos are really helpful for enhancing the knowledge.
    Thank u so much sir🤗

  • @bloomstudio3830
    @bloomstudio3830 6 ปีที่แล้ว +6

    Nice video, thanks for Uploading.

  • @bidishagoswami104
    @bidishagoswami104 4 ปีที่แล้ว +2

    the video was really very good . the idea about op amp is very clear to me right now . thank you

  • @nishantpancholi8768
    @nishantpancholi8768 4 ปีที่แล้ว +3

    Thanks a lot sir...u are teaching amazingly all electronics theory portion..😊😊

  • @kohyuze
    @kohyuze 4 ปีที่แล้ว +1

    Very clearly explained, thank you!

  • @Ahmadkhan-oh8bf
    @Ahmadkhan-oh8bf 4 ปีที่แล้ว +8

    Well Done man .. Thank you so much!

  • @kanchanaramar
    @kanchanaramar 4 ปีที่แล้ว

    I saw many other videos that tried to explain this topic. Yours is the best. Clear and direct. Thank you!

  • @agstechnicalsupport
    @agstechnicalsupport 6 ปีที่แล้ว +1

    Great summary of ideal OP-AMP characteristics.

  • @countvonshahji9617
    @countvonshahji9617 6 ปีที่แล้ว +1

    Wonderfully explained, thanks!!

  • @zunaidkhannayak3618
    @zunaidkhannayak3618 3 ปีที่แล้ว +2

    Thank you soooo much for uploading this whole series....thank you so much sir

  • @dakumangalsingh45
    @dakumangalsingh45 5 หลายเดือนก่อน +2

    Because of u I got 10 pointer in this subject with 85/100 marks 😢🎉😢🎉😢🎉❤❤❤

  • @anubhajain6042
    @anubhajain6042 4 ปีที่แล้ว +8

    Such a great explaination👌🏼👌🏼👌🏼

  • @sejalvinodwasule8868
    @sejalvinodwasule8868 4 ปีที่แล้ว +2

    Helpful even for12th analog electronics

  • @maribhagavathi285
    @maribhagavathi285 5 ปีที่แล้ว +3

    Thank u so much for better understanding to beginners☺

  • @souradeepsaha4764
    @souradeepsaha4764 4 ปีที่แล้ว +1

    Thank you sir, during this lockdown period your videos helped me very much

  • @SURAJSINGH-ct3jt
    @SURAJSINGH-ct3jt 5 ปีที่แล้ว +14

    Wow sir, I saw many electronics TH-cam videos but ur way of explanation is best. But can u plz just add the real photos of related videos electronics instruments at last or at first to the video's, so it's look more good.. 🙏🙏🙏😇😇😇

  • @shendocodm5196
    @shendocodm5196 11 หลายเดือนก่อน +1

    I have seen many your videos. I must say that your channel is the best, best explanation, step by step very carefully, bestter than any course online or my teacher in school

  • @srivatsaa.r.9936
    @srivatsaa.r.9936 5 ปีที่แล้ว +5

    SIR
    Yr video on INTRODUCTION TO OP-AMPS/ IDEAL OP-AMP.:-
    1. Outstanding video
    2. No adjectives in my vocabulary to describe yr excellent teaching quality so convincingly How well u have explained the different specifications/characteristics of the above in such clear terms is unique which only a few people possess.
    Thanking u
    vatsa Bangalore

  • @biplabroy8991
    @biplabroy8991 4 ปีที่แล้ว +2

    Much respect & encouragement to you.
    Thanks bro

  • @raushantiwari5214
    @raushantiwari5214 5 ปีที่แล้ว +6

    conceptual video sir .thank you very much.

  • @Pr3kashSingh
    @Pr3kashSingh 4 ปีที่แล้ว +6

    Outstanding explanation.. 10 out of 10..👏

  • @davidbakenda6896
    @davidbakenda6896 5 ปีที่แล้ว +3

    You have made me like applied electronics. Have never understood OP-Amps like you did explain . Bravo

  • @delmartransit547
    @delmartransit547 ปีที่แล้ว +3

    Excellent channel, thanks for your effort. All concepts are explained in details in short period of time .
    It makes the subjects easy to comprehend. This takes away the mystery of some of this concepts . All who joined should make good grades in school
    thanks and
    Keep up the good work

  • @orochimaru1253
    @orochimaru1253 4 ปีที่แล้ว +2

    love you bro....glad to see some people like you....😊. Best brief explanation

  • @met2163
    @met2163 2 ปีที่แล้ว +1

    Fantastic. Brief and clear refresher.

  • @miheelparmar
    @miheelparmar 3 ปีที่แล้ว +11

    Watched this literally 25 minutes before my viva. Thanks for saving my ass.

  • @harshavardhankanoj6021
    @harshavardhankanoj6021 5 ปีที่แล้ว +4

    Urs video lecture is amazing 👌👌👌, dazzling.

  • @yuanzhis6924
    @yuanzhis6924 5 ปีที่แล้ว +3

    i am studying analogue circuit by watching your video. It helps a lot. My lecture slides is shit

  • @anandmsharma9487
    @anandmsharma9487 3 ปีที่แล้ว +1

    The video is so amazing. I understood each and every concept..

  • @akashjha7611
    @akashjha7611 หลายเดือนก่อน +1

    seriously excellent video, please keep up the good work.

  • @kajoldandapat2875
    @kajoldandapat2875 4 ปีที่แล้ว +5

    Well explained, much respect ✊

  • @vismayapr2089
    @vismayapr2089 5 ปีที่แล้ว +6

    Thankyou so much sir......this helped me alot...🙏🙏🙏🙏

  • @sudeepshetty4530
    @sudeepshetty4530 3 ปีที่แล้ว +1

    Very well presented the information. Thank you.

  • @dizlike-to3wn
    @dizlike-to3wn 2 ปีที่แล้ว +1

    great! i finally understood everything about oa

  • @veenas7641
    @veenas7641 4 ปีที่แล้ว +6

    It was really beneficial... Thankyou so much..

  • @Manoj_Bhaskaruni
    @Manoj_Bhaskaruni 4 ปีที่แล้ว +5

    Nice Explanation, that any person don't know the basics also can easily understand.

  • @exploreplaces960
    @exploreplaces960 3 ปีที่แล้ว

    Very nicely explained in a short duration of time but with greater information..

  • @basudebadak1437
    @basudebadak1437 3 ปีที่แล้ว

    Appreciation comment... Keep the good work doing.... You are helping a lot of people.

  • @nivethithamurugesan9726
    @nivethithamurugesan9726 5 ปีที่แล้ว

    Thank you soo much...came across your video at the right time.helped me a lot😄

  • @sumathiuppari7178
    @sumathiuppari7178 3 ปีที่แล้ว

    The entire explanation is very clearly. it will also use for practical experience...tq so much sir....

  • @adarshkamble5712
    @adarshkamble5712 5 ปีที่แล้ว

    Very good, and simply best teaching.

  • @deepakdaswani7929
    @deepakdaswani7929 5 ปีที่แล้ว +1

    Thank you so much sir it helps alot :-) keep up the noble work.

  • @renrenren2833
    @renrenren2833 3 ปีที่แล้ว +1

    You're awesome!!! THANK YOU VERY MUCH ❤️❤️❤️❤️

  • @ashlyjosephalbert
    @ashlyjosephalbert ปีที่แล้ว +2

    the way Indian online tutors teach hits different..

  • @learningwithshubham665
    @learningwithshubham665 3 ปีที่แล้ว +1

    Sir your teaching is the best

  • @kaushikprabhath8945
    @kaushikprabhath8945 3 ปีที่แล้ว +12

    can u just put a recap video for all the lectures u given so far.so that all the concepts will be covered in a single shot. Also the videos are very good

  • @solapowsj25
    @solapowsj25 3 ปีที่แล้ว

    Excellent work. Educational and very complete.

  • @chukwuanunapeculiar1310
    @chukwuanunapeculiar1310 11 หลายเดือนก่อน +1

    u just got urself a new subscriber❤️🥂
    Thank u sir..

  • @udayteja9125
    @udayteja9125 4 ปีที่แล้ว +2

    very nicely explained sir thank you !!

  • @francismannion7075
    @francismannion7075 8 หลายเดือนก่อน

    That was very interesting and informative thank you!

  • @manikantachodapaneedi1066
    @manikantachodapaneedi1066 5 ปีที่แล้ว +3

    Very execently explained
    Thank you

  • @unicore239
    @unicore239 4 ปีที่แล้ว

    This channel is amazing.

  • @mansigupt4599
    @mansigupt4599 ปีที่แล้ว +1

    Thanks for the video easy to understand slides easy explanation saved my semester

  • @gulyaorazgali7037
    @gulyaorazgali7037 3 ปีที่แล้ว

    The best explaination ever!

  • @himanshushekhardas1730
    @himanshushekhardas1730 5 ปีที่แล้ว +4

    Excellent lectures sir !!!

  • @choudamjayasankar5298
    @choudamjayasankar5298 3 ปีที่แล้ว +1

    Thanks for your explanation, and i understood all the concepts sir

  • @sushmamathi6419
    @sushmamathi6419 7 หลายเดือนก่อน +1

    Wow ur way of teaching increases my interest ☺️