Electric Field Due to a Line of Charge - Finite Length - Physics Practice Problems

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  • เผยแพร่เมื่อ 1 ก.พ. 2025

ความคิดเห็น • 197

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +4

    Physics Video Lessons: www.video-tutor.net/physics.html

  • @cringeworthybears5500
    @cringeworthybears5500 2 ปีที่แล้ว +311

    Every engineering student is being taught singlehandedly by this legend.

    • @daisy14135
      @daisy14135 3 หลายเดือนก่อน +1

      true story

  • @kylesanford3666
    @kylesanford3666 3 ปีที่แล้ว +221

    You’re actually brilliant. You know enough about every subject to teach them all brilliantly and meticulously down to the detail. A true renaissance man.

    • @Urbanstrangler
      @Urbanstrangler 2 ปีที่แล้ว +23

      I don't understand how a single man can acquire this level of knowledge

    • @jjprs3062
      @jjprs3062 ปีที่แล้ว +17

      @@Urbanstrangler He was only meant to learn Organic Chemistry but he went further

    • @sumeyyecirak8191
      @sumeyyecirak8191 ปีที่แล้ว

      @@Urbanstrangler who sad he is alone

  • @rebekahrodriguez4954
    @rebekahrodriguez4954 4 ปีที่แล้ว +146

    My wrap of 2020 on youtube is ready:
    50+ hours watching The Organic Chemistry Tutor
    You are amazing and I appreciate your channel!

    • @dontreadmyusername6787
      @dontreadmyusername6787 3 ปีที่แล้ว

      I appreciate your passion for learning but if its for physics than i can't say much, you are one of a kind
      Totally commendable

  • @Justtocool123
    @Justtocool123 6 ปีที่แล้ว +152

    I think it was awesome that you took the time to integrate out the proof instead of providing the solution. Really helped me conceptualize everything better than my professors teachings

    • @copperwater8456
      @copperwater8456 4 ปีที่แล้ว +13

      school is awful. Only thing I'm doing is paying those bastards for a piece of paper.

    • @apizcyril9479
      @apizcyril9479 3 ปีที่แล้ว +9

      @@copperwater8456 school is good for you to have a syllibus or can see better path or target, but not a good place to study / learn

  • @kasiorap
    @kasiorap 5 ปีที่แล้ว +262

    and just like that, enrolling physics 2 this semester in uni isn't regrettable anymore

    • @ibrahimatiyeh9608
      @ibrahimatiyeh9608 5 ปีที่แล้ว +6

      Yess i took this lecture and i was lost

    • @domantas973
      @domantas973 3 ปีที่แล้ว

      How did the exams go?

    • @kasiorap
      @kasiorap 3 ปีที่แล้ว +13

      @@domantas973 did great! managed to get an A on Physics II, i also happened to transfer universities. used to do software engineering in my home country now i do mechatronics engineering abroad. Thank you for checking up

    • @shalinyvaleny2091
      @shalinyvaleny2091 3 ปีที่แล้ว +1

      @@kasiorap how did u get an A 😩

    • @kasiorap
      @kasiorap 3 ปีที่แล้ว +12

      @@shalinyvaleny2091 learning how the formulas work and how to use them in the situations that they should be applied in is key, also practice makes perfect! good luck in your exams! wish you the best of luck

  • @saadullahpirzada5439
    @saadullahpirzada5439 5 ปีที่แล้ว +6

    the point that was not clear to the whole class of 96 students
    THANK YOU SIR
    EXACTLY THE POINT I WAS LOOKING FOR
    RESPECT RESPECT ...............

  • @sm-65datlas23
    @sm-65datlas23 4 ปีที่แล้ว +12

    I'm about to give this topic up, then I searched. In my mind, "I'm sure he has a video for this. I'm sure of it." Then I saw your vid. So thank you very much! Great help as alwaysss.

    • @angelicasysnila5476
      @angelicasysnila5476 4 ปีที่แล้ว +2

      Same with me lol
      I started crying lol cuz I can't understand the same topic from my textbook* but he made me understand very easily
      *edited some spelling

  • @Spidd124
    @Spidd124 2 ปีที่แล้ว +7

    Love understand more in a single day than an entire year of university lectures.

  • @fedvgo
    @fedvgo 7 ปีที่แล้ว +7

    Great video you didn't skip any steps and explained it all ty I was stuck on integration for ever until your video showed me there was trig sub in this problem

  • @mostlyphysics
    @mostlyphysics ปีที่แล้ว +2

    Good on you for showing how to solve the integral. My physics professors either said "look it up in an integral table" or they solved it in their head...

  • @跨境老水手
    @跨境老水手 6 ปีที่แล้ว +8

    It is really helpful. Especially for our international student. It is very clear and step by step! thank you very much!

  • @mainman8005
    @mainman8005 ปีที่แล้ว +2

    This guy is single handedly carrying my grade in 3 of my classes this semester

  • @gavinbeyers7676
    @gavinbeyers7676 ปีที่แล้ว +1

    i like the irony of just being called the organic chemistry tutor when he literally tutors EVERYTHING

  • @random147555
    @random147555 2 ปีที่แล้ว +41

    at 15:39 when you moved the x out in front of the integral, shouldn't it be a 1/x since it was in the denominator?

    • @alimuhtasham4045
      @alimuhtasham4045 2 ปีที่แล้ว +5

      yeah. i noted the same

    • @MinhVu-sy3oc
      @MinhVu-sy3oc ปีที่แล้ว +10

      He corrected it after that already

    • @modbus9600
      @modbus9600 ปีที่แล้ว +1

      I'm confused about this part too😂

    • @nehasinghbaghel9072
      @nehasinghbaghel9072 6 หลายเดือนก่อน

      Because it is treated as a constant and we are integrating with respect to theta that,s why he moved it out as a constant

  • @joshseveck5040
    @joshseveck5040 ปีที่แล้ว +1

    Thank you for being able to clearly teach this in English!

  • @ElumaroAdedoyin
    @ElumaroAdedoyin 9 หลายเดือนก่อน +1

    I don't know how to thank you enough sir ❤
    You've helped me so much

  • @مريمالشنقيطي-ث3ه
    @مريمالشنقيطي-ث3ه 2 ปีที่แล้ว

    This channel is saving my life 😢❤️

  • @Tommyometer
    @Tommyometer 3 ปีที่แล้ว +17

    at 15:36 should you not put 1/x to the front instead of x?

  • @sakhemcetywa6847
    @sakhemcetywa6847 4 ปีที่แล้ว +8

    Now this is difficult, but giving up is not an option ,especially if you have JG as your tutor.

  • @Chrisbi-Wan
    @Chrisbi-Wan 2 ปีที่แล้ว +1

    At 7:08 how he got the equation for dEx was by understanding that x/r is proportional to dEx/ dE. Therefor:
    dEx/dE = x/r
    dEx/dE = cos(theta)
    dEx = dE (cos(theta))

  • @kabandajamir9844
    @kabandajamir9844 2 ปีที่แล้ว

    The world's best teacher thanks

  • @gauravbvmite
    @gauravbvmite 6 ปีที่แล้ว +5

    thank you man - U pinned what i was looking for :)

  • @mohamadsherif701
    @mohamadsherif701 ปีที่แล้ว

    Thank God, you are here sir ❤

  • @KAWAIBETRAND
    @KAWAIBETRAND 9 หลายเดือนก่อน

    Who says physics is still difficult with all this explanation?❤

  • @wahidhamidy6886
    @wahidhamidy6886 6 ปีที่แล้ว +8

    thanks a lot , its so helpful
    god bless you

  • @talos_x9295
    @talos_x9295 2 ปีที่แล้ว +1

    Yo man, thanks so much for this in depth explanation. Really helped my understanding.

  • @_gammingsultan7162
    @_gammingsultan7162 5 ปีที่แล้ว +29

    Thank you very match
    I benefeted more and
    May allah bless you

  • @supreetsingh1974
    @supreetsingh1974 2 ปีที่แล้ว

    Thanks brother I used the integral and now derived it for a wire not same length on both the side ....

  • @matthewboxberger5932
    @matthewboxberger5932 2 ปีที่แล้ว

    This man could be the best damn professor of all time

  • @derricktetteh2818
    @derricktetteh2818 7 หลายเดือนก่อน +1

    Awesome teacher, you've helped us so much.
    I realised you are on earth at 35:01
    The dog.......

  • @leen8175
    @leen8175 2 ปีที่แล้ว

    Thanks a lot , it's very important chapter and not everyone can explain it, it's challenging.

  • @emanaldosari3387
    @emanaldosari3387 5 ปีที่แล้ว +194

    I’m so dumb...who the hell thought integration is a good idea

    • @arnavsingh2587
      @arnavsingh2587 5 ปีที่แล้ว +5

      hahahahhahahah LOL!

    • @andrewjustin256
      @andrewjustin256 ปีที่แล้ว

      It is not that you are lunatic or dumb whatever; it is that you are heedless and reckless about why things operate the way they do. 😊

    • @mohamadsherif701
      @mohamadsherif701 ปีที่แล้ว +1

      It's simple

    • @Breakerchannel1
      @Breakerchannel1 11 หลายเดือนก่อน +5

      ​@@mohamadsherif701 yet in calculus class, I got 45 out of 100!
      Simple indeed!!

    • @emmettdja
      @emmettdja 11 หลายเดือนก่อน +2

      so good of an idea they thought it would be good to teach everyone else

  • @sweg8862
    @sweg8862 ปีที่แล้ว

    God bless you for this explanation

  • @murphy98969
    @murphy98969 6 ปีที่แล้ว +2

    Owsum teaching style so much helpfull

  • @sanjanakerkar8255
    @sanjanakerkar8255 4 ปีที่แล้ว +2

    this is really helpful, thank you!

  • @vialvile107
    @vialvile107 5 ปีที่แล้ว +2

    This is great! Could you please do one for a point that's not at the center?

    • @sergiovavra5720
      @sergiovavra5720 3 ปีที่แล้ว +11

      That would be stupidly difficult homie leave that to the computers to compute

    • @Me12222
      @Me12222 ปีที่แล้ว +1

      ik this comment is 3 years old and ur probably already an engineer that does this for breakfast, but in the video he explains how you can find Ex and Ey for a point not in the center using integration and then you can take the vector sum to find the field intensity vector

  • @laaori
    @laaori 6 ปีที่แล้ว +53

    at 15:45 wouldn't it be 1/x times the integral and not x times the integral?

    • @andalibsamandari4977
      @andalibsamandari4977 6 ปีที่แล้ว +8

      Kyungseo Moon replied to Michael Adjei's comment below; he corrects it at 17:45. It is 1/x

    • @shivanitiwari3037
      @shivanitiwari3037 5 ปีที่แล้ว +2

      They jump into the river android Actvu
      uarv ual an ,# @

    • @angelicasysnila5476
      @angelicasysnila5476 4 ปีที่แล้ว +5

      @@shivanitiwari3037 wtf??

    • @diags_1109
      @diags_1109 3 ปีที่แล้ว

      @@angelicasysnila5476 THATS when She said act ve
      vhkf $)% 5 ] -

  • @banzangayusa7380
    @banzangayusa7380 3 ปีที่แล้ว

    dear brother thank you very much for the work you have done to explain to us clearly j aime tes video

  • @manjuarya8331
    @manjuarya8331 4 ปีที่แล้ว +2

    1000th like from me

  • @m22d52
    @m22d52 ปีที่แล้ว

    very important formula to calculate electric field on a distance to calculate electromagnetic wave which is an antenna communication

  • @keshosingh5645
    @keshosingh5645 3 ปีที่แล้ว

    i like this explanation especially on integration part

  • @joehiggs100
    @joehiggs100 4 ปีที่แล้ว

    I know nowt so found this very informative, many thanks.

  • @DRNAIDA
    @DRNAIDA 4 หลายเดือนก่อน

    Thank you so much!

  • @sarp3871
    @sarp3871 ปีที่แล้ว +3

    Am I the only one with a crazy enough prof that wants the proof of the final electric field problem on the answer sheet? why do I even need to memorise proofs in a physics class?

  • @TritonTv69420
    @TritonTv69420 ปีที่แล้ว +1

    Dude. Thanks.

  • @hvrkim5154
    @hvrkim5154 4 ปีที่แล้ว

    your the best

  • @williamscott6291
    @williamscott6291 5 หลายเดือนก่อน

    Very nice, however I am struggling with the situation where the point P in not on the x axis. This means that the charged rod is not centered under P. The y components of E do not cancel and the x components are not symmetrical either. This is a much more difficult calculation and one that I have not seen anyone do. Could you extend this lesson to the more general case of an electric field at some point over any place of a charged line?

  • @odgarig8601
    @odgarig8601 2 หลายเดือนก่อน

    My professor never mentioned that point P next to the the middle of the line, so It was hard for me to get why Ey is 0

  • @nandukrishna8142
    @nandukrishna8142 ปีที่แล้ว

    The video is great but, if you imagine E in y component is 0 only in case of equatorial line

  • @Down2HellBBX
    @Down2HellBBX 2 ปีที่แล้ว +2

    Hey can you also take up the case where the point of observation (that is where we are supposed to find out the electric field) is not symmetrically placed , like what happens when the Y-component does not cancel out???

    • @shdhong
      @shdhong ปีที่แล้ว

      I believe that your comment (more of a question I believe) is very valid. To the best of understanding, the method shown only works for finding the electric field from a distance x from the center of the line charge. The y-components of the electric field for other points do not cancel as you pointed out. More complex integration is needed. In the numerical example near the end of the video, it asks specifically the electric field 80 cm away from the center of the rod.

  • @antonytumwebaze1535
    @antonytumwebaze1535 5 ปีที่แล้ว +1

    this is really awesome

  • @DANIELJOHNSPARDENILLA
    @DANIELJOHNSPARDENILLA ปีที่แล้ว +1

    15:38 shouldn't it be 1/x in front of the integration symbol, not x?

  • @KellyandBobo4life
    @KellyandBobo4life หลายเดือนก่อน

    Quick question, at 21:06 , why is 2 in front of k? Isn’t it supposed to be k times 2a(lambda)? Or did I miss something?

  • @凛-r3h
    @凛-r3h 4 ปีที่แล้ว +2

    15:43 I think you made a mistake, it's supposed to be 1/x , not x

  • @jpmcfrosty
    @jpmcfrosty ปีที่แล้ว

    at the 9 minute mark, i stopped and realized that this WHOLE half hour video was just to explain ONE single problem and ONE fucking crazy ass integral smgdh

  • @FrankLeeAntolin
    @FrankLeeAntolin ปีที่แล้ว

    Thanks a lot mr!

  • @jesusmrosario-claudio4104
    @jesusmrosario-claudio4104 3 ปีที่แล้ว

    Thank you once again.

  • @DoMINEation
    @DoMINEation 3 ปีที่แล้ว +1

    THANK YOU

  • @davidepassarello4645
    @davidepassarello4645 2 ปีที่แล้ว +2

    In the final integral (19:00) it should actually be x^2 on the bottom

  • @Slee-pcc
    @Slee-pcc ปีที่แล้ว

    (15:42) There is a mistake when solving for the integration..... you can't take out x but have to take out 1/x

    • @神拜
      @神拜 8 หลายเดือนก่อน

      yes and he fixed the mistake in 17:44

  • @kervinsingh6213
    @kervinsingh6213 6 ปีที่แล้ว +2

    quick question, at 16:52 when he sub dy and y values in integral, shouldn't his limits also change? why did he not write the limits for integral, x integrate cos(theta) d(theta)

    • @Tommyometer
      @Tommyometer 3 ปีที่แล้ว +1

      I'm probably too late but his original limits were in terms of y, so no they do not need to change

    • @kervinsingh6213
      @kervinsingh6213 3 ปีที่แล้ว +1

      @@Tommyometer thanks hahaha. i took that mod 2 years ago.

  • @kingofkings7214
    @kingofkings7214 2 ปีที่แล้ว +1

    what if the point upon which we want to find the electric field (point b) is not directly in front of the center of the finite rod, but is in front of the start of the rod. How do we find the electric field it there?

  • @hazelvazquez765
    @hazelvazquez765 5 ปีที่แล้ว

    You are awesome. Thanks!

  • @twoezy-vegito5363
    @twoezy-vegito5363 5 ปีที่แล้ว +1

    now do one with point P at the end and above some y distance of the rod(which lies on x axis)

  • @iraklisonic354
    @iraklisonic354 2 ปีที่แล้ว

    thank you so much bro

  • @fahadpranto2979
    @fahadpranto2979 7 ปีที่แล้ว

    Thanks a lot.
    It really helped me to understand the topic :)

  • @themidnightspark9431
    @themidnightspark9431 6 ปีที่แล้ว +3

    Couldn't you place a gouse shape around the rod and use gouse law instead? Like a cylinder for example?

    • @youenvi
      @youenvi 6 ปีที่แล้ว

      Yes that would work

    • @jimhalpert9803
      @jimhalpert9803 4 ปีที่แล้ว +1

      It's gauss's law

  • @archibonggideon3861
    @archibonggideon3861 2 ปีที่แล้ว

    Thank you 😊🤲🏽

  • @wassimguenifid6199
    @wassimguenifid6199 8 ปีที่แล้ว +8

    Can you make for us some videos related to Geometrical Optics Please ^^

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  8 ปีที่แล้ว +9

      Here you go:
      th-cam.com/video/vkNF8tb3Guc/w-d-xo.html
      th-cam.com/video/VKMswYSiyko/w-d-xo.html

    • @wassimguenifid6199
      @wassimguenifid6199 8 ปีที่แล้ว +9

      The Organic Chemistry Tutor thank you so much man you're the best

  • @omwmakingprogress
    @omwmakingprogress 4 หลายเดือนก่อน

    tks very much

  • @cesartovar4474
    @cesartovar4474 6 ปีที่แล้ว +1

    Do you have a video of distribution of charges: electric field and electric potential?

  • @harmannd7270
    @harmannd7270 4 ปีที่แล้ว +1

    I had a similar question but the line of charge was a dipole, how would i got about solving?

    • @mentor1324
      @mentor1324 3 ปีที่แล้ว

      physics vol 2 halliday resnick krane, that book right? phuck it big time xd

    • @harmannd7270
      @harmannd7270 3 ปีที่แล้ว

      @@mentor1324 haha straight up

  • @MichaelOfRohan
    @MichaelOfRohan ปีที่แล้ว

    What if the rod is on the x axis? Would you have to use sin = 2a/r?

  • @marufkhan946
    @marufkhan946 ปีที่แล้ว

    Exam saver.

  • @ElifArslan-l9g
    @ElifArslan-l9g 3 ปีที่แล้ว

    thanks king

  • @IamKudos
    @IamKudos 4 ปีที่แล้ว

    in 13:30, the derivative of y on the left hand side should be dy/dt but we just wrote it as the differential of y, dy. And then replaced it aswell in the integration. Am i missing something?

    • @jamiecole5433
      @jamiecole5433 4 ปีที่แล้ว

      pretty sure it's dy = xsec^2(θ) dθ (with respect to θ) , not just dy.

  • @khii_khii
    @khii_khii 4 ปีที่แล้ว

    thankyou so much

  • @RaddeFitnaat
    @RaddeFitnaat 18 วันที่ผ่านมา

    17:35 note this part

  • @respawn_time1208
    @respawn_time1208 11 หลายเดือนก่อน

    Hi, i dont understand why we take derivative? How does it help?
    And are calculating the Force the whole rod is pushing to p، ، it just a little part of it?

  • @wanukekashachila9677
    @wanukekashachila9677 5 ปีที่แล้ว

    well explained

  • @phillipechavda3654
    @phillipechavda3654 4 ปีที่แล้ว

    is this video in a playlist??

  • @makotao8645
    @makotao8645 5 ปีที่แล้ว +2

    When he solved the definite integral, wasn’t he supposed to also change the limits of the integral?

    • @rynelledesouza3364
      @rynelledesouza3364 5 ปีที่แล้ว +1

      no cause he went from terms of x/y to terms of u and back to terms of x/y so you don't need to. If you keep it in terms of u then yes

  • @ranadanish7222
    @ranadanish7222 4 ปีที่แล้ว

    when sheet of charge is finite along z-direction from -z1 to +z1 and infinite along y-direction.find electric field intensity when we take point on x-axis??

  • @michaeladjei5174
    @michaeladjei5174 6 ปีที่แล้ว +11

    Please factorizing x out of the integral was suppose to be 1/x not x multiplied by the whole integral please I don't why you multiplied x to the whole integration to get x cos it would been 1/x cos please explain

    • @kyungseomoon6538
      @kyungseomoon6538 6 ปีที่แล้ว +2

      I guess he corrected x cos to 1/x (cos) at 17:45, he made a mistake

    • @andalibsamandari4977
      @andalibsamandari4977 6 ปีที่แล้ว

      @@kyungseomoon6538 that's right, thank you

  • @raseenak6096
    @raseenak6096 6 ปีที่แล้ว

    Thank you sir...

  • @ExpertAdvisorrr
    @ExpertAdvisorrr 5 ปีที่แล้ว +1

    Is the linear charge density symbol the same as that of lambda?

  • @ivanmartindelcampo4062
    @ivanmartindelcampo4062 4 ปีที่แล้ว

    I think you got your Q wrong in the last problem. Off by a magnitude of power. I got 1.26E(-8)

  • @ferb1rahert
    @ferb1rahert 2 หลายเดือนก่อน

    Damn that integration was the one of the hardest so far or I forgot idk

  • @namehere630
    @namehere630 4 ปีที่แล้ว +1

    Thank you!!!!!!!!!
    ps: this is the 100th comment.

  • @taofiqlawal4917
    @taofiqlawal4917 5 ปีที่แล้ว +3

    Lord bless this man!! omg

  • @wilmercuevas6491
    @wilmercuevas6491 10 หลายเดือนก่อน

    These topics are starting to get complex

    • @kyrozephyr8628
      @kyrozephyr8628 10 หลายเดือนก่อน

      You're not going to need to do this in class he's just showing the derivation.

  • @foodiholic6043
    @foodiholic6043 6 ปีที่แล้ว

    Amazing*****

  • @scenario1741
    @scenario1741 6 ปีที่แล้ว +1

    Can't this be simplified by using a cylinder as A, and using EA=q/epsilon(0)?

    • @GainsGoblin
      @GainsGoblin 6 ปีที่แล้ว +4

      I think so but you are required to learn the prehistoric method by teachers.

    • @sulliwallisch6065
      @sulliwallisch6065 4 ปีที่แล้ว +2

      Yeah a gaussian cylinder would be way easier, but most professors teach this before getting into Gaussian stuff

  • @bittersweetrain1740
    @bittersweetrain1740 4 ปีที่แล้ว

    28:22
    Review of lesson

  • @wahidhamidy6886
    @wahidhamidy6886 7 ปีที่แล้ว

    thanks buddy

  • @eqlovesport
    @eqlovesport 6 ปีที่แล้ว

    thanks!!!!

  • @floriannkankeu5296
    @floriannkankeu5296 7 ปีที่แล้ว

    Thank you very much! :)

  • @brennanreedy3367
    @brennanreedy3367 5 ปีที่แล้ว +4

    may allah bless your mind

  • @vietnamsciencetoylab5846
    @vietnamsciencetoylab5846 5 ปีที่แล้ว

    sec= 1/ cos ?

    • @angelicasysnila5476
      @angelicasysnila5476 4 ปีที่แล้ว

      Yep.... Reciprocal of cosine is secant or vice versa