{386} Startup resistor calculation in SMPS design

  Рет қаралды 36,341

Haseeb Electronics

Haseeb Electronics

Күн бұрын

in this video number {386} Startup resistor calculation in SMPS design, i discussed How to Calculate Startup Resistor or startup Resistance or bootstrap resistor or VCC resistor or Rstartup, to Design SMPS Switch Mode Power Supply. it is useful for calculation to design switch mode power supply (SMPS) for current mode controller using UC3842, uc3843, uc3844, uc3845 or KA3845 or KA3842 or KA3843 or KA3844
or any current mode smps which uses external mosfet to give a UVLO upper limit threshold charging at vcc capacitor. it provides a limited current of 0.5mA to 1mA to charge hold-up capacitor, when ic monitors that the voltage are at UVLO-ON threshold, then the IC takes soft start to drive transformer, so we take output at secondary and vcc / auxiliary / bias winding, which further provides operating current to the ic at 17mA
00:00 vcc startup resistor calculation in smps
00:51 what is startup circuit in SMPS
01:34 how to calculate startup resistance

Пікірлер: 212
@Rodderick45
@Rodderick45 3 жыл бұрын
Hello once again brother Haseeb! Another Excellent amazing video. Very well presented and you covered every detail and answered the few questions I did have about “Flyback switching power supplies”. You are truly a gift to the world of electrical and electronics to those who have a sincere desire to excel in this field weather it be as a technician or on the level of engineering. I can appreciate this particular video because it was the “Flyback switching power supply” that gave me my introduction to switching power supplies 12 years ago when I attempted to repair my 21 inch CRT JVC color receiver. JVC on it’s web page had a very detailed description of the theory, physics and workings of it’s “Flyback power supply “. It took many re-reads but I grasped the concept. The actual control of the amount of energy needed stored in the magnetic field being switched by a mosfet power transistor through pulse width modulation at the command of the amount of feedback via TL431 and opto coupler. With the help you have provided by going into deeper detail as to how the TL431 is more of a programmable voltage regulator, the snubber network and power factor correction and all the detail calculations have truly made me better and more confident. Thank you brother!
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Best regards and i am thankful for your valuable appreciation. your words are a valuable asset for me. stay blessed please accept my best regards
@jvjv6213
@jvjv6213 2 жыл бұрын
Namaste Haseeb bhai . Me India se hu . Mera naam Vipul jani he . Me aapke sabhi videos bade gour dekhta hu aur aapse kafi kuchh shikhta bhi hu . Mera khud ka electronics items ka repair workshop he . Pr aapse ek gujarish he ki aap hindi ya urdu Me bhi videos bnaye to mere jaise kai sare Indians ko bhi aapse jankari malum ho . Aapke videos bahot details Me hote he . Aur aap ko videos Me bahot like krta hu . Bhagvan aapko aur aapki family ko khush aur salamat rakhe ye meri ishwar se dua he . Thank you Haseeb bhai .
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
नमस्ते, भाई, मैं आपके प्यारे संदेश के लिए सलाम करता हूँ। यह मेरा अंग्रेजी चैनल है, मेरे भारतीय और पाकिस्तानी भाइयों के लिए, मैं अपने वीडियो अपने उर्दू चैनल ("हसीब इलेक्ट्रॉनिक्स उर्दू haseeb electronics urdu") पर साझा करता हूं, आप उस चैनल की जांच कर सकते हैं, उस चैनल पर मेरे सभी वीडियो उर्दू भाषा में हैं। विशेष धन्यवाद और शुभकामनाएं
@jvjv6213
@jvjv6213 2 жыл бұрын
@@HaseebElectronics thanks Haseeb bhai . Khuda tumhe salamat rakhe .
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
Aameen Thanks Bhai ji
@prakashsharma6186
@prakashsharma6186 3 жыл бұрын
Dear , I love your way of explaining . Kindly clear the design aspect of aux winding also. The cap , once started chip , voltage will also appear on aux winding and it will hold the current to chip. Cap will start discharging only when aux winding is unable to provide enough current . So what is design aspect of aux winding. Thx.
@batistafrose6009
@batistafrose6009 3 жыл бұрын
ماشاءاللهBeautiful video
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks dear
@pcb1962
@pcb1962 3 жыл бұрын
Thank you , I learn more with each video of yours that I watch. I was wondering why the transformer has extra secondary windings, now I have one reason, thankyou
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure. it will become more clear in upcoming videos, because i share the lecture step wise. stay blessed
@vijayakumarkumar9190
@vijayakumarkumar9190 3 жыл бұрын
Very useful information Sir Thanks for sharing this knowledge to us
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot. best regards
@tabasumcookingpassion9208
@tabasumcookingpassion9208 3 жыл бұрын
Informative share thumbsup dear
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Best regards
@BricoolinoSenyor
@BricoolinoSenyor 3 жыл бұрын
ماشاء الله اللهم بارك بالتوفيق
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Jazaak Allah khair
@GINCHANNELcar_moto
@GINCHANNELcar_moto 3 жыл бұрын
So nice explanation
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Thanks and welcome
@muhammadishtiaq24
@muhammadishtiaq24 3 жыл бұрын
Excellent information about vcc resistance
@pepharini
@pepharini 3 жыл бұрын
Very Good Information Brother. Keep it up.
@coloradowilderness3139
@coloradowilderness3139 3 жыл бұрын
Really amazing to learn real basic. In books, details is scant .
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure
@temyraverdana6421
@temyraverdana6421 3 жыл бұрын
Thanks, incredibly useful lesson
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
You're very welcome!
@darwintech.
@darwintech. 3 жыл бұрын
Great tutorial with great exlpanation my friend.
@kmhovlog6185
@kmhovlog6185 3 жыл бұрын
Mashallah very informative vedio superb work well done good morning 🌄
@qaiserqureshi100
@qaiserqureshi100 3 жыл бұрын
Another amazing presentation 💌 Big Like 👍
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks bhai
@LousyPainter
@LousyPainter 3 жыл бұрын
Great video as usual my friend!
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
special thanks
@BlackOpsJuJu
@BlackOpsJuJu 3 жыл бұрын
Great Video as Always Thanks Friend !!!
@mvijayakumar0911
@mvijayakumar0911 2 жыл бұрын
thank you very much for explaining in detail.
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
You are welcome!
@luckykazivlog8782
@luckykazivlog8782 3 жыл бұрын
Good discussion video thanks for sharing! 😍👍
@CookwithNikhat
@CookwithNikhat 3 жыл бұрын
Good sharing, big thumbs up 👍👍💯 see you around, have a wonderful day 😊
@sushilchoudhary5749
@sushilchoudhary5749 3 жыл бұрын
Very very thanks for informative video.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Most welcome
@ikbalalraiksu1030
@ikbalalraiksu1030 Ай бұрын
Very usefull technical information, seen a lot of search about smps, kindly more detail related to bias winding. How to generate voltage as i know is dedicated winding only. No connection to primer and secondary at transformer, thak for replay or next video
@susantaatha6468
@susantaatha6468 3 жыл бұрын
Beautiful information.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot
@syedwaseeminfo
@syedwaseeminfo 3 жыл бұрын
very informative share haseeb bhai
@kmhovlog6185
@kmhovlog6185 3 жыл бұрын
Great sharing have a nice day love yours performance
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Thanks so much
@alaelaf8629
@alaelaf8629 3 жыл бұрын
Mashallah tabark Allah thank you bro. About this great information now I understand this component's work
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
You are welcome best regards
@anurasenarathna1703
@anurasenarathna1703 2 жыл бұрын
Very good video. Very useful. Thank you very much.
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
You are welcome!
@CliveTrezona
@CliveTrezona 3 жыл бұрын
Very interesting. Thanks Haseeb.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
best regards and special thanks
@Dr.QaisarAbbas99
@Dr.QaisarAbbas99 3 жыл бұрын
nice job dear bro, big like stay blessed
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Many many thanks
@khanlalavlogs
@khanlalavlogs 3 жыл бұрын
Great informative video shared brother, like always, keep it up...
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Jazaak Allah khair
@kanchankondhare
@kanchankondhare 3 жыл бұрын
🙏good teaching 🙏
@DeepakKumar-of2uo
@DeepakKumar-of2uo 3 жыл бұрын
I will always see all video and video also very important for me and all my friends.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure
@vijayakarekar
@vijayakarekar Жыл бұрын
Very detailed.....thanks sir ji....
@hiralifestyle
@hiralifestyle 3 жыл бұрын
Helpful video lk👌
@haashirvlogzhaseebelectron7373
@haashirvlogzhaseebelectron7373 3 жыл бұрын
just perfect and informative
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure
@sheekbikdiy1993
@sheekbikdiy1993 3 жыл бұрын
Good job, my friend
@farrukhazad
@farrukhazad 3 жыл бұрын
mashaAllah , good work , i like , nice share
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Jazaak Allah khair
@kuchpanktiyajindagiki
@kuchpanktiyajindagiki 3 жыл бұрын
Good day. Great informative upload
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot dear sister
@cornwallav8r
@cornwallav8r Жыл бұрын
Excellent video as they all are. Question...with regards to power, and dissipation of the startup resistor, aren't we only talking about a period of milliseconds, where current flows only from the startup circuit? I mean, once the controller starts, the aux winding creates a similar voltage, and the bias across that startup resistor goes o near zero, dissipating almost nothing, correct? Pardon me if I missed it, or misunderstand the issue. Also, I noticed many designers like to stick with 1/4 watt resistors, so they series connect 2 or 3 or 4 to spread out that startup dissipation, I guess it's cheaper.
@k3lanka
@k3lanka 3 жыл бұрын
Thanks for your convenience
@darshanjoshi5224
@darshanjoshi5224 Жыл бұрын
Thanks for the detailed explaination. Can you please share the link of the next part. I could not find.
@mdmijan2634
@mdmijan2634 3 жыл бұрын
Very nice analysis Thanks brother...
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
So nice of you
@SiddiquesisterSoniAzmat
@SiddiquesisterSoniAzmat 3 жыл бұрын
Good job 👍👍👍
@renuchandratre2088
@renuchandratre2088 3 жыл бұрын
Very nice .. helpful information
@bundadita7505
@bundadita7505 3 жыл бұрын
Semangat kak sukses selalu ya kak 🙏🙏
@nooranitabassum6196
@nooranitabassum6196 3 жыл бұрын
Very informative video
@louf7178
@louf7178 9 ай бұрын
Awesome.
@EngrAbidOrakzai
@EngrAbidOrakzai 3 жыл бұрын
Always u r impressive
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure, best regards
@rashminaik6039
@rashminaik6039 Жыл бұрын
Very informative
@HaseebElectronics
@HaseebElectronics Жыл бұрын
best regards
@mithunsaha9456
@mithunsaha9456 Жыл бұрын
Many many thanks sir
@HaseebElectronics
@HaseebElectronics Жыл бұрын
Most welcome
@muslimelectronic9546
@muslimelectronic9546 3 жыл бұрын
اسلام اعلیکم اللہ آپ کو سحی سلامت رکے کوچ دینو سی آپ کے اوردو ویڈیو نہے اتی
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
و علیکم السلام و رحمۃ اللہ و برکاتہ آج 9 بجے ویڈیو آئے گی۔ ان شاءاللہ۔ کچھ مصروفیات کی وجہ سے ویڈیو بنانے میں مشکلات تھیں
@smartneedlecrafts9211
@smartneedlecrafts9211 3 жыл бұрын
Very nice video
@javedclicks
@javedclicks 3 жыл бұрын
BIGG LKKKKK#103 very informative video KEEP IT UP
@hichamtassi1753
@hichamtassi1753 3 жыл бұрын
Hello, very interesting with good calculations. My question is: how many volts will be at the VCC capacitor and how to calculate the voltage drop from 320VDC to VCC since i see only one resistor and no voltage divider ? thanks.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
best regards. yours question will answered in upcoming session of startup resistor
@bahrimouloud6980
@bahrimouloud6980 Жыл бұрын
Thank you so much
@HaseebElectronics
@HaseebElectronics Жыл бұрын
You're most welcome
@ScrewBot
@ScrewBot Жыл бұрын
Sir you create videos that we dont find anywhere on youtube. Haseeb sir you have covered major calculations on every components. I have a situation. I have an smps where the output capacitor is blown completely. It is 12v 4amp smps. How will i know how to calculate the capactior Volt and Micro farad for this smps? I hope you understood my question. Haseeb sir mein yeh jaanna chahta hu ke kaise hum capacitor volt or microfarad decide kare circuit mein. Many times same volt capacitor we get but different micro farads. Can you throw light on this topic?
@DarsKitchen
@DarsKitchen 3 жыл бұрын
Great Video!! Stay connected.
@GulzarFaisal_
@GulzarFaisal_ 3 жыл бұрын
Masha Allah 👍👌🌹
@abcabdi8523
@abcabdi8523 Жыл бұрын
Thank You Sir
@HaseebElectronics
@HaseebElectronics Жыл бұрын
best regards
@arunkumar-bh2dp
@arunkumar-bh2dp 3 жыл бұрын
well explanation
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
special thanks
@mahdixxx1306
@mahdixxx1306 8 ай бұрын
👏👏👏
@chifonlesley3011
@chifonlesley3011 2 ай бұрын
thanks very much 🙏🙏🙏
@anasory3225
@anasory3225 3 жыл бұрын
Thanks.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure
@giorgostexnikos6976
@giorgostexnikos6976 3 жыл бұрын
excelent analysis.thenks professor.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Special thanks ❤️
@shafi.j
@shafi.j 3 жыл бұрын
@@HaseebElectronics Giorgos your professor hasn't answered my question yet past one year
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Yes sir I know that question and I have to discuss that. If you trust, I have more than thousand questions to be answered, and the every day I receive a lot of numbers of questions I have a very busy time in my office as I have a big project to manage. I will try my best to discuss your question. I apologize for a very late
@giorgostexnikos6976
@giorgostexnikos6976 3 жыл бұрын
@@shafi.j ask the same question to your professor
@shafi.j
@shafi.j 3 жыл бұрын
@@HaseebElectronics Thanks
@jboy4real
@jboy4real 3 жыл бұрын
Great teaching
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
best regards
@jboy4real
@jboy4real 3 жыл бұрын
@@HaseebElectronics do tutorial on EMI filter
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Sure I started on smps and we will complete it
@jboy4real
@jboy4real 3 жыл бұрын
@@HaseebElectronics okay thanks
@homemadesamayal6480
@homemadesamayal6480 3 жыл бұрын
Very nice
@ministeriomundialliberando8403
@ministeriomundialliberando8403 3 жыл бұрын
Thank you very much again!!! But can I ask shouldn't be R= Vin-Vcc/Icc, being Vcc the voltage consummed by the IC, like when we calculate the R for a Led? And, when it comes about the UC3842, how can 16 volt turn it on, since you've told that it has a 34 volt internal zener diode, shouldn't the Vcc voltage be greater than the zener voltage? I ask you this because I've been studing the UC38xx data sheet and noticed this. Thanks a lot; this channel is answering me a lot of questions. I really appreciate you tutorials. I'm always looking forward your videos.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
you are welcome. all these points I have to discuss in upcoming video to discuss internal zener and external zener circuits (that is the 2nd part of this video) amps controller have to working regions 1. startup 2. normal working 1. in startup the current will use to charge the hold up capacitor. in tht case we have to use R=Vin min / Istartup. because I'm startup the vcc pin will start from zero volt upon reaching at 15 to 16 volt at UVLO-on threshold, ic will start switching. then it's uvlo circuit will enter in operation mode, I WILL EXPLAIN IN UPCOMING VIDEO the internal zener is 34 volt. that is used as a voltage clamp for protection. to protect this ic to reach at extreme limit (34 volt) an external zener for range 18 to 28v is used at vcc pin. that will protect ic from damage. we will discuss in upcoming session
@ministeriomundialliberando8403
@ministeriomundialliberando8403 3 жыл бұрын
@@HaseebElectronics My sincerest thankful; You answer very fast. My respect for taking your time to share knowledge that cost you hard working and many time.
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Always welcome dear friend
@remediusfernandes1570
@remediusfernandes1570 2 ай бұрын
Thanku sir🙏
@-koora2day744
@-koora2day744 11 ай бұрын
JZAK ALLAH JNAH ALFIRDOOS MR HASEEB. My wondering is that ok when IC take voltage from startup resistor first then when IC work so it take voltage from axillary winding, where the voltage coming from startup resistor goes into the resistor so voltage drop so heat dissipated in my head its like to voltage head to head i need to understand and i hope you understand me because i have project to do in my university
@HaseebElectronics
@HaseebElectronics 11 ай бұрын
Good evening please check video number 954 and if you have any question, you are welcomed
@farihabaloch4805
@farihabaloch4805 3 жыл бұрын
Wsalam 👍 wow very nice 👌😘
@muhammadnaeem917
@muhammadnaeem917 3 жыл бұрын
*So nice*
@FancyBangles
@FancyBangles 3 жыл бұрын
MashAllah bhai
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
best regards
@nafizashila1339
@nafizashila1339 3 жыл бұрын
👌👌
@vimaldaslg518
@vimaldaslg518 3 жыл бұрын
Sir, can u please explain regarding bootstrap circuit in High side IGBT driver.
@TeenyTots
@TeenyTots 3 жыл бұрын
Nice sharing. Stay Connected #TeenyTots.
@STV-th2tv
@STV-th2tv 3 жыл бұрын
Thanks for sharing good knowledge my friend thanks welcome please
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot
@nkgamers8380
@nkgamers8380 Жыл бұрын
Is same formula used for Constant current power supply ?
@selimreza4477
@selimreza4477 2 жыл бұрын
Sir very good
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
best regards and special thanks
@jboy4real
@jboy4real 11 ай бұрын
Kindly do a thorough explanation or tutorial on areas to focus on any component datasheet I always confuse on the area of focus on any datasheet
@agrawal0gaur
@agrawal0gaur 6 ай бұрын
Good Video Mr Haseeb. Can you please tell us how to shutdown system in case overvoltage comes from input, like continuous 275V AC?
@cookwithwajihaahassan2269
@cookwithwajihaahassan2269 3 жыл бұрын
Good sir
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Thanks and welcome
@boybravo689
@boybravo689 2 жыл бұрын
Sir the start up resisistor is separte from the snubber circuit sir?
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
yes dear it is a separate resistor, it is connected between +ve dc rail and vcc pin of the smps controller
@willsxd0
@willsxd0 11 ай бұрын
Imagine how good this person did in his finals
@HaseebElectronics
@HaseebElectronics 11 ай бұрын
best regards
@abrhamteshome34
@abrhamteshome34 Жыл бұрын
Tnxs
@electroniquepassion
@electroniquepassion 3 жыл бұрын
👍
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot dear friend
@ARA-GAMERS99
@ARA-GAMERS99 3 жыл бұрын
Lk 234 good job. 👌👌👌
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Jazaak Allah khair
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
Jazaak Allah khair
@rabisankar8288
@rabisankar8288 3 жыл бұрын
Sirji,new aspee machine adapter mein Jo input section mein 8 leg ic hai,uski number kya hoga.number blank hai
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
blank numbers ka problem hota he check video number 372 pcb per ic ki pin ko dekh ke is ic ka number maloom kar saktey hein us site per jaa kr data enter karein aap ko is ke equivalent number mil jaaein ge
@maheshkharwa1836
@maheshkharwa1836 3 жыл бұрын
Sir ji👌👍👍
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
best regards and special thanks
@nayanjagirdar8408
@nayanjagirdar8408 3 жыл бұрын
👌👌👍
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
it is my pleasure
@shefqetkaralliu6816
@shefqetkaralliu6816 3 жыл бұрын
👍👍
@rahulpatelgujratahmedabad3497
@rahulpatelgujratahmedabad3497 2 жыл бұрын
Goodtiching karte hai 👌👍👍👍👌👌👌👍👍
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
thanks
@thiruvarursubasamayal8917
@thiruvarursubasamayal8917 3 жыл бұрын
👍👍👍👍
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot
@vinodKumar-ig8uu
@vinodKumar-ig8uu 2 жыл бұрын
Sir my samsung charger three 22 mega ohm resistor in series for startup....why pse...
@ramaswamyranganathan9171
@ramaswamyranganathan9171 5 ай бұрын
Sir can u explain how to organise components placement in pcb design for proper functioning of SMPS.
@vijay.6111
@vijay.6111 3 жыл бұрын
Sir please explainTransistor based oscillator and drive circuit in smps how it works. Thankyou
@pcb1962
@pcb1962 3 жыл бұрын
Yes please, I'd like this too
@prakashsharma6186
@prakashsharma6186 3 жыл бұрын
@@pcb1962 I am also waiting.
@user-cn3cq7bn1y
@user-cn3cq7bn1y 3 жыл бұрын
جميل جدا مساء الجمال
@HaseebElectronics
@HaseebElectronics 3 жыл бұрын
thanks a lot. best regards
@kmhovlog6185
@kmhovlog6185 3 жыл бұрын
Good morning 🌅🌄
@DeepakKumar-of2uo
@DeepakKumar-of2uo 3 жыл бұрын
please sir make a video on discontinuous flyback transformer calculation for ic FL7733A and ic BP3319 MB. in detail.
@boybravo689
@boybravo689 2 жыл бұрын
Watching for the second time your so good in math sir i hate math
@HaseebElectronics
@HaseebElectronics 2 жыл бұрын
special thanks for your valuable comment never hate math, it is in our life like " *blood in the body"*
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