Gauss's Law Problem: Sphere and Conducting Shell

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  • Опубликовано: 28 янв 2025

Комментарии • 125

  • @calthar13
    @calthar13 Год назад +51

    Why do physics classes that cost hundred of dollars and demand a commitment of 5 hours a week, less helpful than this 18min youtube video? thank god for you

    • @PhysicsNinja
      @PhysicsNinja  Год назад +4

      Thanks for the support. You’ve got this

  • @quynhpham8596
    @quynhpham8596 4 года назад +69

    thanks man u just saved my uni life

    • @tiernanomahoney3925
      @tiernanomahoney3925 2 года назад +1

      University...., I'm learning this in 9th grade.

    • @akbaer60
      @akbaer60 Год назад +14

      @@tiernanomahoney3925 least overstudied south korean

    • @ribriddler8114
      @ribriddler8114 5 дней назад

      @tiernanomahoney3925 no u arent

  • @mrtom-a-hawk6732
    @mrtom-a-hawk6732 3 года назад +36

    Wow, this is a lot easier than my professor made it out to be. Thank you so much!

  • @mohammadmaarefi3393
    @mohammadmaarefi3393 Год назад +9

    Beautifully made, I love how you mention all possible cases of this question. It makes perfect sense.

  • @mahdialkak5579
    @mahdialkak5579 4 года назад +3

    Who watched this in the last week of 2020 then you are a legend, thanks dr

  • @rickastleysmicrophone7544
    @rickastleysmicrophone7544 Год назад +3

    Gosh! This video is perfect. I have my finals in 2 days and you saved me! This topic makes a lot more sense now. Thank you very much sir!

  • @farhanbinfaisal135
    @farhanbinfaisal135 3 года назад +4

    This is far far the best explanation I got till now. Thanks man

  • @hasimrutkayboyac7246
    @hasimrutkayboyac7246 Год назад +2

    You just saved a human being from just loosing his mind thank u for existing.

  • @ice_the_kicker
    @ice_the_kicker 2 года назад +3

    Brilliant explanation. I have never actually been into the world of physics, mostly programming and mathematics. Your video triggered me into learning electromagnetic fields.

    • @PhysicsNinja
      @PhysicsNinja  2 года назад

      Thanks you. Good luck with your studies.

  • @aaronlopez3852
    @aaronlopez3852 4 года назад +18

    This is awesome. Thanks for being thorough, yet concise. Keep it up!

  • @blessbrian1295
    @blessbrian1295 Год назад +1

    Watched you video and went back to what my professor did and it made a lot of sense to me. Thank you very much and I must say my professor teaches well too.

  • @kommsk
    @kommsk 4 года назад +5

    You did a very good job explaining Gauss' Law through a real example...Thanks man , you're a Ninja...:)

  • @jennaalqdah9538
    @jennaalqdah9538 Год назад +3

    This is a super useful video and extremely well explained. Thank you so much, you clarified everything for me!

    • @PhysicsNinja
      @PhysicsNinja  Год назад

      Thank you so much. These types of comments motivate me to make more videos.

  • @carsontaylor8771
    @carsontaylor8771 4 года назад +5

    It all makes sense now. You are amazing good sir!

  • @kimberlygonzalez4543
    @kimberlygonzalez4543 4 года назад +3

    Excellent video! Made me understand Gauss's Law perfectly.

  • @MultiSubjector
    @MultiSubjector 2 года назад +1

    Thanks for the clear and concise lesson. I haven't seen this since taking physics, and revisiting the concept for one of upper div EE courses has been rough with my professor

    • @PhysicsNinja
      @PhysicsNinja  2 года назад

      thanks for the comment. I'm happy the video was helpful for you. Good luck with your course.

  • @kabandajamir9844
    @kabandajamir9844 2 года назад +1

    The world's best teacher

  • @madnad4284
    @madnad4284 Год назад +2

    Thank you so much!! I was so confused and now I solve for my upcoming mid exam.

  • @johnychannellifestyle942
    @johnychannellifestyle942 2 года назад +1

    Awesome video I was upset when saw gauss law that make confuse but finally I find this video that clearly explain to me.🙏🙏🙏 Bro

  • @geniusblack4796
    @geniusblack4796 4 года назад +20

    Wow... It's now that I understand this completely... Thank you.... 😊

  • @d3m3nt3d_t3acup_
    @d3m3nt3d_t3acup_ 3 года назад +1

    Gotta say, this is the explanation that made sense to me. Keep this up!

  • @eccedentesiast4647
    @eccedentesiast4647 4 года назад +2

    Superb and amazing 👌🙌😍 explanation. Infinitely many thanks to you from my bottom of the heart.

  • @ironears
    @ironears 3 года назад +1

    Hi there, you're just awesome. This was simple and clear. Thank you

  • @alexfontaine6233
    @alexfontaine6233 Год назад

    dude this video helped me out immensely. Thanks!

  • @Bullets_ricochet
    @Bullets_ricochet 4 года назад +4

    You're a life saver. Thank you!!!!!!!!!

  • @beuz6626
    @beuz6626 Год назад +1

    You're amazing. Thanks for the video!! It's very helpful.

  • @AblieFatty-pb3ds
    @AblieFatty-pb3ds Год назад

    thank you so much, this video really helps me to understand this topic

  • @THEVEGEfr
    @THEVEGEfr 2 года назад +1

    Thanks for the helpful video sir!

  • @FaridCenreng-
    @FaridCenreng- 3 года назад +1

    Why the outer sphere dont affect in the white field (a

    • @PhysicsNinja
      @PhysicsNinja  3 года назад

      It’s only what’s on the inside that matters. If you would calculate the total fuel from outside shell you would find 0. It’s takes a bit of calculus to show but that’s also what you get from Gauss’ Law

  • @faisalali2001
    @faisalali2001 4 года назад +2

    Great work

  • @kina4288
    @kina4288 Год назад +1

    When we say a sphere, are we automatically talking about a hollow object or not? I know a spade is a spade but when it comes to shpere, is it solid or hollow becomes important. Also, if the central charged object is off centre ie not at the centre of the metal shell, how it will change the calculation? Thank you ninja

  • @endlessmijot
    @endlessmijot 3 года назад +1

    Online learning moment. So much simpler than my professor made it out to be.

  • @AhmedKhaleelAhmedAhmed
    @AhmedKhaleelAhmedAhmed 6 месяцев назад

    thank you keep updating please

  • @borjalarrain6335
    @borjalarrain6335 2 года назад +1

    Thank you so much! This really helped

  • @abdullahxaero
    @abdullahxaero 10 месяцев назад +1

    قمه الجمال والله و قمه الفهم ف 18 دقيقه بس
    loved that 💛💛💛💛💛

  • @boisteranto9275
    @boisteranto9275 4 года назад +2

    you just seem like you'd be a cool professor to have

  • @princerenaud8790
    @princerenaud8790 4 года назад +1

    You are the best bro. Thank you so much!!!!!!!!

  • @kpraveenkumarkpraveenkumar7090
    @kpraveenkumarkpraveenkumar7090 Год назад +1

    thanks man well explained

  • @juannunez8080
    @juannunez8080 4 года назад +2

    great video

  • @REASON_REALM
    @REASON_REALM Год назад +1

    you are the best

  • @dilettanter
    @dilettanter Год назад

    I agree with the comments - this is great!!!!👍 👍👍👍🙏🙏🙏🙏💜💜💜

  • @LEECHLATTICE24
    @LEECHLATTICE24 3 года назад

    This is what I been looking for

  • @andrewjustin256
    @andrewjustin256 Год назад

    14:40 Would you, sir, clarify how the charge outside be positive when the charge is negative on the shell?

  • @mostafae3139
    @mostafae3139 Год назад +1

    absolute legend

  • @lisajose9219
    @lisajose9219 Год назад +1

    Excellent

  • @classiccode3694
    @classiccode3694 4 года назад

    thanks for the video. helped me a lot to understand

  • @markkennedy9767
    @markkennedy9767 Год назад

    At 2:00 are you saying that the only way E=0 everywhere inside is if q_enclosed=0. I'm pretty sure that isn't true. As you know, the integral (which evaluates to q_enclosed) can be zero but the integrand E could be non-zero in places.
    The implication the other way is true: if E=0 inside everywhere is zero, then q_enclosed is zero.
    My question is:
    Can you explain why in an electrostatic situation on a conducting sphere, that the electric field inside is zero necessarily. I know that in an electrostatic situation, the electric field has to be zero where the charges are (otherwise the charges would move), but why does the electric field have to be zero where the charges are not.
    The usual explanation in texts is by contradiction: i.e. if we had an electrostatic arrangement and we were to place another charge inside the sphere it would move if the electric field was non-zero inside, supposedly contradicting the original electrostatic situation.
    But by placing another charge inside the sphere aren't we changing the original electrostatic arrangement that we assumed. So we're not contradicting the original electrostatic arrangement. So it's not really a contradiction.
    Can you tell me where I'm going wrong with this.
    Thanks.

  • @mininuwanbandara624
    @mininuwanbandara624 3 года назад +1

    thanks you ......... thanks you..... nice explanation.

  • @sabarafiei9334
    @sabarafiei9334 2 года назад

    thank you for your amazing channel♥♥

  • @RAYAMUSTAFA
    @RAYAMUSTAFA 4 месяца назад +1

    can you please explain how you so easily plugged in 4/3pi r^3 / 4/3pi a^3?

    • @nashithrahmy2934
      @nashithrahmy2934 3 месяца назад +1

      It's considering the total charge 3 Q is spread on sphere with radius. So for our sphere made with radius R it should be a fraction of voles right. Because the charges are uniformly distributed. Think like a clay ball. The portion we want us a fraction of total

    • @rayamustafa5454
      @rayamustafa5454 3 месяца назад

      @@nashithrahmy2934Thank you for the understanding!

  • @MuhammadAli-tw9ht
    @MuhammadAli-tw9ht 4 года назад +2

    Sir , can i please know about the potential inside the shell? As electric field is zero inside shell , the potential will be constant but would it be same as due to inner sphere or the conducting shell.?

  • @vivekyedge4125
    @vivekyedge4125 3 года назад +2

    Can't thank you enough 🙏😭

  • @nashhm7693
    @nashhm7693 2 года назад +1

    If it is metal sphere. The r

  • @iliastompoulidis
    @iliastompoulidis 3 года назад +1

    You really saved me!

  • @amlhassan7090
    @amlhassan7090 4 года назад +4

    hi how can i calculate the surface charge density on the inner surface of the outer spherical conductor and on the outer surface of the outer spherical conductor?

    • @nashithrahmy2934
      @nashithrahmy2934 3 месяца назад

      Surface charge density is epsilon=Q/area. So to find the charge multiply by area

  • @antonyrasan5667
    @antonyrasan5667 3 года назад +1

    Tks nice explanation

  • @batuyild
    @batuyild Год назад +1

    Helpful..Thanks..

  • @archieli4556
    @archieli4556 3 года назад

    Thank you Sir!!!! I understand now!

  • @lazarbeam5593
    @lazarbeam5593 2 месяца назад

    what if the outside shell is nonconducting charged, do you just do the same thing as the interior sphere?

  • @dilipmahalingam
    @dilipmahalingam 4 года назад +1

    Thank you so much sir

  • @BlueRaz21
    @BlueRaz21 Год назад

    Thank you!

  • @faraday7879
    @faraday7879 4 года назад +1

    you are the man

  • @AngelaAngel-v6j
    @AngelaAngel-v6j Год назад

    It was awesome
    But I have a doubt, what about at point b? I mean how to find E right at b point?

    • @sudhanshub999
      @sudhanshub999 Год назад

      See case 2 heading there clearly written that a

  • @omniamohamed404
    @omniamohamed404 Год назад

    for region two, it is still inside the outer sphere which is conducting, so how is it possible that region two does not have zero electric field?

    • @PhysicsNinja
      @PhysicsNinja  Год назад +1

      Because the is charge on the inner sphere

  • @ahmadirshaid6497
    @ahmadirshaid6497 2 года назад

    Is the electric field on the outer shell when (r=c) is zero ????
    and when (r= a) is zero too??

  • @JB-tj2ot
    @JB-tj2ot 4 года назад +1

    so if im asked to get the EF inside the sphere what would the answer be=(? 0?

  • @sabrinanovayanti3395
    @sabrinanovayanti3395 3 года назад +1

    so helpful

  • @kleinerflugel65
    @kleinerflugel65 2 года назад +1

    Thanks.

  • @liambrennan4902
    @liambrennan4902 3 года назад

    How would we find potential at the center of both spheres?

  • @Clintaso
    @Clintaso 4 года назад

    Any reason you didn't do an example in the case of an insulating shell? Is it just not common?

  • @jadenjohnson4850
    @jadenjohnson4850 4 года назад

    How would E change in the case of r being between b and c if the shell is an insulator?

    • @PhysicsNinja
      @PhysicsNinja  4 года назад

      If the charge is spread uniformly in the outer shell then you can still calculate using Gauss' Law. The field will be different!

  • @dakshigoel9543
    @dakshigoel9543 4 года назад +1

    sir, if a=b then how will we find the electric field anywhere inside the spherical shell??

    • @PhysicsNinja
      @PhysicsNinja  4 года назад +1

      If a=b it looks like it would simply be a conducting sphere with radius c. E=0 inside conductors. The charge would be at the surface c.

  • @omercankilickaya9965
    @omercankilickaya9965 4 года назад +2

    If inner -Q and outside 3Q how is the solution change

  • @harbinger9231
    @harbinger9231 3 года назад

    Thanks a lot but how do you find the potential across two points in such a setup?

  • @alzahraz
    @alzahraz 2 года назад +1

    thanksss!!!

  • @hotroadcol4166
    @hotroadcol4166 Год назад +1

    todos te amamos

  • @SADDAMHUSAIN-ly4mm
    @SADDAMHUSAIN-ly4mm 3 года назад

    S I am saddam husain from india . SirMy small talk with you is that you should solve more problems like this in the book of DavyJ Griffth by putting limit in electric field and solved more such problems sir please......and please reply sir

  • @ELENKTRIK
    @ELENKTRIK 2 месяца назад

    allah razı olsun reiz

  • @slendermangaming6414
    @slendermangaming6414 2 года назад +1

    I love you so much

  • @walterdiaz2003
    @walterdiaz2003 3 года назад

    Do licensed electrical contractors know this or should?. I know some physics 1/2/3, Digital Systems 1 and so on. I have a BS in Computer Science but I am interested in getting the plumbing and electrical licenses (Homeowner issues....). Any advise?

  • @bshdjdjfnfjd8379
    @bshdjdjfnfjd8379 2 года назад

    I wonder why the electric field at r=a ( conducting sphere ) equals to zero🤔

  • @philip-zr5my
    @philip-zr5my 2 года назад +1

    you are awsome
    :3

  • @yuvanm359
    @yuvanm359 3 года назад

    Tanks man

  • @isaacverdeciacarrion145
    @isaacverdeciacarrion145 9 месяцев назад

    thanks

  • @Alidaher2468
    @Alidaher2468 7 месяцев назад

    But for a conductor the electric field inside is zero and therefore in the case 2 the charge is zero

    • @Alidaher2468
      @Alidaher2468 7 месяцев назад

      Or the inside is dielectric?

  • @Wave_equation.
    @Wave_equation. Год назад +1

    nice

  • @hazimaznan2077
    @hazimaznan2077 4 года назад

    Tq for the video

  • @bautistabaiocchi-lora1339
    @bautistabaiocchi-lora1339 3 года назад

    ty

  • @ahmedalmoola8191
    @ahmedalmoola8191 4 года назад

    good video but I hated the many ads poped and distracted me.

  • @dawwnbrk3r653
    @dawwnbrk3r653 3 года назад

    🐐

  • @eraysona
    @eraysona 10 месяцев назад +1

    jesus. now I can show off the girls in my uni!

  • @vikramnagarjuna3549
    @vikramnagarjuna3549 5 лет назад +1

    Hi sir this is Vikram from India, please do some problems on coupled oscillators in SHM with simple mathematics or advanced Mathematical methods.

  • @lawrencelam2333
    @lawrencelam2333 2 года назад +1

    Best video ! ruclips.net/video/pzJanh-Ol4g/видео.html Can we say (-1 Q ) charge distributed evenly in both inner and outer shell or just (-3Q)charge in inner shell and (+ 2Q) charge in outer shell.

  • @efeturan3278
    @efeturan3278 Год назад

    so bad wroong

  • @amlhassan7090
    @amlhassan7090 4 года назад +1

    hi how can i calculate the surface charge density on the inner surface of the outer spherical conductor and on the outer surface of the outer spherical conductor?

    • @PhysicsNinja
      @PhysicsNinja  4 года назад +1

      Total charge on that surface / (4*pi*R^2)
      The term in denominator is the total surface area of the sphere.

    • @amlhassan7090
      @amlhassan7090 4 года назад

      @@PhysicsNinja ok thanks

    • @amlhassan7090
      @amlhassan7090 4 года назад

      @@PhysicsNinja is there is any chance / way that i can send you a question to help me with ?