Capacitors - GCSE & A-level Physics

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  • Опубликовано: 15 янв 2025

Комментарии • 200

  • @jenellealvares1492
    @jenellealvares1492 4 года назад +338

    Sharpie should really sponsor this man

    • @namename3130
      @namename3130 2 года назад +4

      Idk... it might be a bit of an anti-advert - the pen never seems that good in these videos.

    • @justaracoonchillinginatoilet69
      @justaracoonchillinginatoilet69 Год назад +14

      @@namename3130 he uses yhem so much the ink dries out so looks faded which shows his intense undying love for sharpies

    • @catneil5755
      @catneil5755 11 месяцев назад

      🤣

    • @Smile-ml4no
      @Smile-ml4no 3 месяца назад

      ​@@namename3130 probably cause he uses them so much lmao

  • @ScienceShorts
    @ScienceShorts  5 лет назад +84

    Please ignore my comment about energy being 1/2QV due to resistance - nonsense!

    • @Annie-xb8xx
      @Annie-xb8xx 5 лет назад +4

      Wait so what is the correct reason then? Why is it 1/2QV not QV? And why is it the area under the graph not just the charge at that point multiplied by the potential difference at that point?

    • @Annie-xb8xx
      @Annie-xb8xx 5 лет назад +1

      Sorry if the answer is really obvious, we haven't been taught capacitance yet.

    • @Player-zq3pe
      @Player-zq3pe 5 лет назад +2

      @@Annie-xb8xx It's probably derived using differentiation.

    • @joshuaosei5628
      @joshuaosei5628 5 лет назад +23

      It's because of the fact that the original E = QV assumes charge and voltage are constant, but they are not. Obviously to charge up a capacitor, you would need to have started at 0 and then increase as you supply it with voltage. It's the average.

    • @Quiyum
      @Quiyum 4 года назад +20

      Brain : No , that's the only thing I am gonna retain

  • @setheverman6680
    @setheverman6680 2 года назад +48

    8 days till my physics paper 2 and even though this topic isn't in the advance info watching this video made me feel extra prepared for the curveball I know is gonna come. thanks

    • @ScienceShorts
      @ScienceShorts  2 года назад +21

      It's deffo going to be in multiple choice.

    • @puddleduck1405
      @puddleduck1405 Год назад +1

      we get advance info before exams?? damn I didnt know that. is this for all exam boards? (I do AQA)

    • @00f169
      @00f169 Год назад +5

      @@puddleduck1405 This was for last year's students. We won't get any this year. Apparently the advance information for last year didn't help too much anyways.

  • @hobojimmy3500
    @hobojimmy3500 3 года назад +18

    noticed most of these top comments are years old, just wanted to say there is new blood coming here too! These videos will never stop helping years of under taught kids

  • @brianchan6656
    @brianchan6656 5 лет назад +193

    Good luck for everybody sitting A level Physics in 9 days time :)))

  • @themexicansob6390
    @themexicansob6390 7 лет назад +233

    Hey I stumbled upon your videos and though that they were actually better than my physics teacher. And I was wondering if you were thinking about making a website with all your videos where you could for example accept donations like the examsolutions guy does so that at least you can get a little extra for your incredible effort. Also just wanna thank you for your videos P.S. I'm on my last year pleaseee go ham on the uploads I need them!!!

    • @ScienceShorts
      @ScienceShorts  7 лет назад +166

      +themexican sob Thanks man! No, I don't have a website, but feel free to watch the adverts all the way through to give me an extra few pennies! :)

    • @hasnaiqbal2870
      @hasnaiqbal2870 5 лет назад +35

      @@ScienceShorts I won't skip ad in your videos hereafter!!! =D

    • @gblawrence034
      @gblawrence034 4 года назад +21

      @@ScienceShorts better yet, click on the ads, cause its the clicks that give the money

    • @nawfaljafri
      @nawfaljafri 2 года назад +1

      @@tychophotiou6962 yes

  • @joelmaddix-asiamah9006
    @joelmaddix-asiamah9006 6 лет назад +8

    One of the best videos I’ve seen on capacitance

  • @Jade-ot9rs
    @Jade-ot9rs 5 лет назад +43

    Thank you so much for these videos. Prepping for my exam Friday!

  • @arghoacharjee6602
    @arghoacharjee6602 Год назад +2

    Thank you so much for the video! I struggled with it a lot but now it is as clear as it can be!

  • @matthewosei4188
    @matthewosei4188 6 лет назад +141

    if I get an A in physics I owe you a pint

    • @CHEESYhairyGASH
      @CHEESYhairyGASH 6 лет назад +2

      How did you do?

    • @CHEESYhairyGASH
      @CHEESYhairyGASH 6 лет назад +2

      ?

    • @aidenwinter1117
      @aidenwinter1117 6 лет назад +24

      Relationship questions you missed the word “if” at the beginning of the comment.

    • @cornellius702
      @cornellius702 5 лет назад +15

      Relationship questions yikes

    • @johnpaul4301
      @johnpaul4301 5 лет назад +66

      He is not replying
      he probably failed with flying colours

  • @burry218
    @burry218 7 лет назад +53

    You, sir, are excellent. I think making your videos accessible through payments will only make the channel less favourable. I think your videos so far are of brilliant quality and the fact that they don't require us to pay, makes it so much better.

    • @ScienceShorts
      @ScienceShorts  7 лет назад +53

      +Burry21 Thanks! Yes, I wouldn't have wanted to pay when I was doing my A-levels, so I don't make anybody pay. Please feel free to donate enough to buy me a cup of tea to keep making videos though! ;)

    • @attedau6235
      @attedau6235 6 лет назад +2

      @@ScienceShorts how can i donate to you

    • @chinmayvashishtha
      @chinmayvashishtha 5 лет назад +2

      @@attedau6235 link in description

  • @fabriziolavini7457
    @fabriziolavini7457 Год назад +1

    After seeing a lot of other videos about the same subject i got simply truly totally astonished by the different point of views used to explain it !
    As i always say, there's never complete understanding if you can't describe things in different ways

  • @yujiahe4458
    @yujiahe4458 5 лет назад +2

    your video has being extremly helpful to me,thx man appreciate the hard word and the effort you put in your video

  • @h027s
    @h027s 4 года назад +1

    I always appreciate that you explain things differently so I can have 2 sets of notes on the same topic :)))

  • @zeyn4792
    @zeyn4792 5 лет назад +98

    Boys we got just over 1 day, best of luck

    • @hi44098
      @hi44098 5 лет назад +3

      I am dead 2morrow

    • @zeyn4792
      @zeyn4792 5 лет назад +7

      @@hi44098 na don't worry man, get the easy marks with thermal and nuclear. Get like 13/25 on the multiple choice and answer the wordy questions, bound to get a few points right, decent mark right there. All the best

    • @danielb1500
      @danielb1500 5 лет назад

      Zeyn which exam board are you

    • @hi44098
      @hi44098 5 лет назад +3

      @@zeyn4792 hehe i will try. Best of luck man. I will come here tomorrow afternoon to complain about my faliure lol

    • @zeyn4792
      @zeyn4792 5 лет назад +4

      @@danielb1500 AQA, bit shitty they pushed the exams into may rather than june as it always has been

  • @riajenson5485
    @riajenson5485 3 года назад

    bro where would we all be without you? I started to get so demotivated because my teacher teaches solely through equations with no derivations or real explanations. It's been bugging me so much why half of the energy was just disregarded but now I get it. Thanks so much!

  • @kuchbatein6925
    @kuchbatein6925 2 года назад +2

    at 2:00 you make the switch which is open it doesn't mean the electrons cant flow back to the +side of the capacitor?

  • @seasnek7024
    @seasnek7024 5 лет назад +1

    Hey man thanks for that vid! You just explained how to derive those formulas so much more simply than my lectures do

  • @Arun-Singh
    @Arun-Singh 5 лет назад +6

    13:30 nice voice over :0

  • @joshvir262
    @joshvir262 5 лет назад +19

    here for last minute revision

  • @yoyobear2127
    @yoyobear2127 3 года назад +4

    Lesgoooo, in'sha'Allah gonna get an a*

  • @georgeacres4
    @georgeacres4 7 лет назад +10

    Would you be able to do one for lenses, particularly ray diagrams? Thank you

  • @gracie_a
    @gracie_a 5 лет назад +1

    Thank you so much, I always struggle with this type of topic and this video was a big help!

  • @aagaya_verma
    @aagaya_verma 3 года назад

    In 15 min this guys literally explained what my teacher couldn't explain in 2 weeks.

  • @DXPAlien
    @DXPAlien 6 лет назад +2

    man this is really helpful

  • @Dinklepuffus
    @Dinklepuffus 3 года назад

    Brilliantly explained, thank you!

  • @TheRAj6456
    @TheRAj6456 7 лет назад +5

    you are better than my teacher jeez

  • @deividasodnolko8365
    @deividasodnolko8365 2 месяца назад

    Fantastic video!

  • @simonhadfield8540
    @simonhadfield8540 5 лет назад +5

    7:20 I honestly don't know what I'm talking about but what about a superconducting circuit. I wonder whether energy stored would increase to near QV

    • @liamfinley723
      @liamfinley723 2 года назад

      That’s what I was thinking

    • @bamgb81
      @bamgb81 Год назад

      I assume that because superconductors repel magnetic feilds, the capacitor would just act as a break in the circuit. Because the magnetic repulsion from the negative plate won’t be able to repel the electrons from the positively charged plate meaning there would be no current in that half of the circuit and the other half would be a dead end

  • @GT-tj1qg
    @GT-tj1qg 5 лет назад

    Thank you for the video. By the way, I think the most common way to denote the time constant is using tau.

  • @munishmusic
    @munishmusic 5 лет назад +3

    When you increase distance between the plates whilst a battery is connected, you're still putting work so would the energy increase slightly but resultantly decrease?

  • @shahadamjad3691
    @shahadamjad3691 Год назад

    THANK YOU FOR THE AMAZING CONTENT!

  • @alyx.007
    @alyx.007 5 месяцев назад

    that was good revision, thanks!

  • @vdabest2118
    @vdabest2118 4 года назад +2

    What happened at 13:33? 🤔

  • @eneselezi5844
    @eneselezi5844 7 лет назад +2

    Really nice work!

  • @adityamisra8869
    @adityamisra8869 5 лет назад +3

    Hi Sir, please skip to 13:33 I think you had some editing issues. But dont take video down as I got my exam in 2 weeks. after that then feel free.

    • @JamesWilson-ui1wg
      @JamesWilson-ui1wg 5 лет назад +3

      Aditya Misra Obviously he has made a mistake on his initial audio and has corrected it with a voice over instead of redoing that section. It does sound a bit weird but it gets the point across fine. 👍🏼

  • @yawatuahene8640
    @yawatuahene8640 Год назад

    Your videos are very good!

  • @kanethomas8234
    @kanethomas8234 7 лет назад

    Thank you, very helpful!

  • @5ghuffer947
    @5ghuffer947 5 лет назад +4

    Lads good luck for the final exam

  • @datboydnk
    @datboydnk 5 лет назад +1

    Why does the current decrease exponentially as the capacitor gets charged and discharged could you please elaborate that? Would be a great help TIA.

  • @rodgervinsmoke8220
    @rodgervinsmoke8220 4 года назад +1

    That’s a hell of a video

  • @benatkinson3160
    @benatkinson3160 4 года назад

    0:23 why does the battery take electrons from one plate to the other?

    • @hoodedvenom3987
      @hoodedvenom3987 4 года назад

      One side has electrons (negative charge) the other side has a lack of electrons (positive charge). The electrons are attracted to the positive plate as it's oppositely charged and therefore flow towards it.

  • @mohamedalinajib6333
    @mohamedalinajib6333 7 лет назад +3

    Very helpful. thank you.

  • @ayoutubechannelname
    @ayoutubechannelname 6 лет назад +1

    6:56 to 7:27
    Nope. The slower a capacitor is charged, the less energy is wasted. The one half factor is in there because each additional charge increases the amount of work needed to add subsequent charge, for an average work per charge of V_f/2 (assuming linearity). Meanwhile, energy loss can be modeled as a function of ESR or Equivalent Series Resistance, which is not at all directly related to the Capacitance. By charging the capacitor slowly, you keep the voltage drop IR due to resistance R low relative to the voltage of the capacitor, allowing most of the energy to be stored in the capacitor rather than wasted in the resistance.

    • @ScienceShorts
      @ScienceShorts  6 лет назад +19

      Lol.

    • @ayoutubechannelname
      @ayoutubechannelname 6 лет назад +1

      If you apply *constant* voltage V to a capacitor C with equivalent series resistance R, then half of the energy gets dissipated in the resistance and the other half of the energy gets stored in the capacitance.
      Why:
      For a *constant* voltage, you can represent the total input energy as simply the product of voltage V and charge Q, which on an x-y chart looks like a rectangle, where the height of the rectangle is the applied voltage (V) and the width of the rectangle is maximum charge stored on the capacitor (Q=C*V). The voltage on a capacitor is typically proportional to Q (i.e. C is typically constant). So the energy stored in the capacitor increases simply with the square of the voltage, and this energy stored can be represented by the lower-right diagonal half of the rectangle with "area" (1/2)V*Q (where Q = C*V). The upper-left diagonal half of the rectangle represents the Joule heat loss incurred as the capacitor was being charged.
      So:
      If you apply a *non-constant* voltage in such a way that it is maintained only slightly above the voltage of the capacitor, up until the desired voltage is reached, then you can minimize the amount of energy you lose when charging the capacitor. In such a case, the area of representing the input energy would no longer be as simple as a rectangle with uniform height because the initial applied voltage would need to be lower than the final applied voltage. This cuts away from the "upper-left diagonal half of the rectangle" which "represents the Joule heat loss incurred as the capacitor was being charged".

    • @rafaellopes2053
      @rafaellopes2053 6 лет назад +3

      @@ScienceShorts absolute legend

  • @teniolaokunlola227
    @teniolaokunlola227 6 лет назад +2

    life saver !!

  • @aliaaatta8498
    @aliaaatta8498 5 лет назад +1

    love your videos but ive got a question :why does the capacitor discharge slowly in the rectified ac current

    • @ScienceShorts
      @ScienceShorts  5 лет назад +2

      Because it is discharged through a resistor, different from charging.

  • @ayeshaa44
    @ayeshaa44 6 лет назад +1

    FINALLY UNDERSTOOD IT! THANK YOU!

  • @henron1282
    @henron1282 7 лет назад +1

    Can you make a video on forces exerted by pistons please?(By the way love your videos)

  • @attalshamsheryousafzay1743
    @attalshamsheryousafzay1743 3 года назад

    At 1:56 the circuit is not complete and glow the bulb

  • @xxpowerxx407
    @xxpowerxx407 6 лет назад +2

    AMAZING

  • @kaumudieathukorale1255
    @kaumudieathukorale1255 7 лет назад +1

    At 10:27 did you PUT ln accidentally or SAY log accidentally because I'm a bit confused ..

    • @ScienceShorts
      @ScienceShorts  7 лет назад +3

      +Kaumudie Athukorale saying "log" is correct for both natural log (ln or "lun") as well as log (base 10)

    • @kaumudieathukorale1255
      @kaumudieathukorale1255 7 лет назад

      Ahh, thanks

  • @peternunez_838
    @peternunez_838 2 года назад

    Why does disconnecting the battery create a constant charge? I don't know if you still reply on these older videos

  • @xxpowerxx407
    @xxpowerxx407 6 лет назад +1

    LOVE IT

  • @joedobson63
    @joedobson63 6 лет назад

    where does the equation at 14:22 come from?

    • @ThePS3Beast109
      @ThePS3Beast109 6 лет назад +4

      rearrange the earlier Q=VC for V=Q/C, put it in E=0.5xQV to get E=0.5xQx(Q/C), which is the same as E=0.5xQ^2/C

  • @joestinton7838
    @joestinton7838 6 лет назад +3

    8:38

  • @mr.deadeye3843
    @mr.deadeye3843 5 лет назад

    Can you please make a video on graphs related to magnetic flux in a transformer and hall probe?!

  • @user-tz1wb2gt7n
    @user-tz1wb2gt7n 3 года назад

    Hi I was just wondering at the end why is charge constant when the battery is disconnected? Is that assuming the the charge of the plates has got maximum charge /capacitance?

    • @ScienceShorts
      @ScienceShorts  3 года назад

      If the capacitor is disconnected, where could the charge go?

  • @andrewthresh91
    @andrewthresh91 4 года назад +1

    Love your videos but i hate the sound of sharpie! Can you find different pens?

  • @ouropinionsmatter9898
    @ouropinionsmatter9898 3 года назад +2

    He sounds like Thor (Chris Hemsworth) but with a thinner voice

    • @ScienceShorts
      @ScienceShorts  3 года назад +1

      Thinner?!

    • @ouropinionsmatter9898
      @ouropinionsmatter9898 3 года назад

      @@ScienceShorts Thor's voice, is the same as yours but a little thicker. I mean the accent, the speaking style sounds almost the same but his voice is a little lower pitched than yours you could say... anyways, I'm just glad I got a reply from you... unreal moment for me

    • @ScienceShorts
      @ScienceShorts  3 года назад +2

      I can put it on like he does if that's what you want 😂

    • @ouropinionsmatter9898
      @ouropinionsmatter9898 3 года назад

      😂😂😂😂

  • @minecraftdecoded
    @minecraftdecoded 5 лет назад

    *Dialectric* i love this!

    • @ScienceShorts
      @ScienceShorts  4 года назад +2

      I always make that mistake! 🙄

    • @minecraftdecoded
      @minecraftdecoded 4 года назад

      @@ScienceShorts you make the mistake of replying after 3 months😂😂😂😂😂😂
      JK!

  • @unfriedintrovertnugget5835
    @unfriedintrovertnugget5835 2 года назад

    Can you explain safe pd?

  • @jerrysmith5281
    @jerrysmith5281 6 лет назад

    The AQA spec says you need to be able to describe the action of a simple polar molecule that rotates in the presence of an electric field. I'm not sure what this means and I don't think this video covered it?

    • @instahswap
      @instahswap 6 лет назад +4

      I just revised this, so I can give you a brief description. Basically, the particles in a dialectric are called polar molecules, which means they have a positive and a negative end. Normally, these particles are jumbled up and facing in random directions, but when charge is created across the capacitor around them, an electric field is created. As you know, each side of the capacitor has an opposing charge, so each of the particles in the dialectric orientates themself, so that the positive end faces the negative end and vice versa. When this happens, each one of these particles has an electric field as they themselves have a difference in charge by virtue of being orientated, but because they're facing in the opposite direction to the capacitors electric field, it's an opposing electric field, which causes the overall electric field to decrease - this means that a lower voltage is needed to charge the capacitor, which in turn increases the capacitance through C = Q/V (i.e. as V decreases, C increases). Hope I was of help :)

    • @jerrysmith5281
      @jerrysmith5281 6 лет назад +1

      Thanks! It's something that wasn't covered by my teacher so I was a bit confused when reviewing the specification

  • @mscmasterofscience5376
    @mscmasterofscience5376 4 года назад

    l watched your video, also I made some electronic using proteus 8, thanks.

  • @nafsirrahman5460
    @nafsirrahman5460 Год назад

    Does this topic come in edexcel A level physics? My edexcel cgp revision guide doesnt cover capacitors.

    • @ScienceShorts
      @ScienceShorts  Год назад

      No, it's not in Edexcel.

    • @Fran-hu2gw
      @Fran-hu2gw Год назад +2

      @@ScienceShorts It is. It is in the electric and magnetic fields section of Edexcel.

  • @susbat7787
    @susbat7787 3 года назад +1

    i lov3 you so much it hurts

  • @lindadada-dadadal9864
    @lindadada-dadadal9864 6 лет назад

    Professor I thought the energy is half because it doesn't start with q and v, but dq and dv? Like the calculus?

  • @mikey10006
    @mikey10006 6 лет назад +4

    Capacitors are the most interesting things in the world to me idk why

  • @fardeenhassan833
    @fardeenhassan833 4 года назад

    Where did the equation E=0.5Q/C² COME FROM

  • @jameshall3683
    @jameshall3683 5 лет назад +2

    Im so fucked

  • @muhammadshaheer4848
    @muhammadshaheer4848 6 лет назад

    In a certain question, it required to find area under the exponential graph of current/time .. how can I calculate this?

    • @skjjhhgd
      @skjjhhgd 6 лет назад +1

      intergrate the function

  • @marklovett5477
    @marklovett5477 6 лет назад

    These videos are great!!! - can you do some on OCR A-level chemistry if thats possible :)
    Thanks

  • @ghazalaahmed4600
    @ghazalaahmed4600 6 лет назад

    Please post explanation of CIE syllabus Chapter 25 - Electronics
    Seems like you've missed it. I'm really struggling in it and need help in amplifiers and sensing devices.

    • @hasnaiqbal2870
      @hasnaiqbal2870 5 лет назад

      same. did you find any other videos on it?

  • @akshayanmuraleetharan2103
    @akshayanmuraleetharan2103 4 года назад

    why does current reduce when a capacitor charges?

  • @I3uzzzzzz
    @I3uzzzzzz 6 лет назад

    ty dud

  • @muhammad.husnain6819
    @muhammad.husnain6819 6 лет назад

    why does current decrease when capacitor discharges

    • @gabriellaashong
      @gabriellaashong 6 лет назад +2

      Muhammad. Husnain the charge moves to the positive plate. The charge moving to the positive plate decreases as time increases and as I=q/t, the current will decrease as a result. I hope that helps

  • @Brandooooo5
    @Brandooooo5 3 года назад

    13:33

  • @sachinsolanki7329
    @sachinsolanki7329 6 лет назад

    U legend

  • @bradleytemple6237
    @bradleytemple6237 5 лет назад

    Using the equation Q=Q0e^-t/RC, if the capacitor is initially uncharged i.e Q0 = 0, then surely the equation doesn't work, as for all values of t, Q will be 0. Can somebody please explain this?

    • @BO2Letsplay
      @BO2Letsplay 5 лет назад

      Charging and pd follow the equation Q = Q0 (1-e^-t/RC)

    • @Annie-xb8xx
      @Annie-xb8xx 5 лет назад

      can someone explain to me what e is

    • @hoodedvenom3987
      @hoodedvenom3987 4 года назад

      Q0 is max charge- Q is the charge at a given time. When t=0, Q=Q0(1-e^-0/RC), Q=Q0(1-1), Q=Q0x0=0

  • @Ray_1337
    @Ray_1337 4 года назад +2

    rip 2020 seniors

  • @EnricoMicheli-jo6bg
    @EnricoMicheli-jo6bg 4 года назад +1

    Without u I’d fail my a levels

  • @adolfTitlerr
    @adolfTitlerr 4 года назад

    We don't have capacitance in GCSE
    But we do have it in A2

    • @inzayn1d
      @inzayn1d 3 года назад

      edexcel IAL?

  • @xxpowerxx407
    @xxpowerxx407 6 лет назад +2

    BEST VIDEOS EVER

  • @hasanhalim7772
    @hasanhalim7772 7 лет назад +1

    Re upload ?

  • @gideoncrew8500
    @gideoncrew8500 7 лет назад +1

    Can you please do a video on kinematics graph questions for as levels

  • @khairi7508
    @khairi7508 4 года назад

    my man sound like the rightful king of asgard..

  • @sivarishi9639
    @sivarishi9639 4 года назад

    Teach slowly , informative video

  • @kys9009
    @kys9009 7 лет назад +1

    Mr j day?

  • @boazekunyan3844
    @boazekunyan3844 3 года назад

    Decent

  • @ianorr7568
    @ianorr7568 5 лет назад

    Fundamental error in this video.....time constant is "RC" NOT 1/RC!!!!!

  • @mistyice
    @mistyice 2 года назад

    if i draw this 3d
    proceed to draw a 3d image

  • @eroskuikel9688
    @eroskuikel9688 6 лет назад

    I don't think you can state "Charge stored". Only energy is stored .The net charge in a capacitor is zero.

    • @ScienceShorts
      @ScienceShorts  6 лет назад +11

      Splitting hairs. That's the same as saying it's wrong to say that a hydroelectric dam stores water.

  • @samiulhaque8238
    @samiulhaque8238 4 года назад

    physics 4 in 17 days...

  • @Lydia-nb7yd
    @Lydia-nb7yd Год назад

    Sir a little bit confusing

  • @flyingdutchman109
    @flyingdutchman109 6 лет назад

    @5.00 I think you mean CHARGE stored per unit potential difference, not 'charged' XD

  • @ashantikuvimba9575
    @ashantikuvimba9575 2 года назад

    Helpful but youre going to fast

  • @AnirudhMakhana
    @AnirudhMakhana 5 лет назад

    Edexcel peeps sitting for unit 4 tmr, where you @

  • @leopugh
    @leopugh 2 месяца назад

    bro just call it voltage

  • @riajenson5485
    @riajenson5485 3 года назад

    bro where would we all be without you? I started to get so demotivated because my teacher teaches solely through equations with no derivations or real explanations. It's been bugging me so much why half of the energy was just disregarded but now I get it. Thanks so much!