Node voltage method (steps 1 to 4) | Circuit analysis | Electrical engineering | Khan Academy

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  • Опубліковано 5 вер 2024
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    The Node Voltage Method solves circuits with the minimum number of KCL equations. Steps 1 to 4 out of 5. Created by Willy McAllister.
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    Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage.
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КОМЕНТАРІ • 82

  • @StephenMendes
    @StephenMendes 3 роки тому +41

    Students might also find one (or more) of my videos helpful for Mesh and Nodal Analysis ..... I have videos for every aspect of electronics ...... but in circuit analysis Playlist I have videos for all the methods ..... supernode, supermesh, superposition, Thevenin, Norton, source transformation and etc. ..... sometimes it helps to watch several videos for the same topic to get a fuller understanding

  • @TsiratiugZ
    @TsiratiugZ 8 років тому +9

    Hi, this is great stuff. I was wondering if you offered a complete beginner to advanced electronics program?

  • @richardhall9815
    @richardhall9815 5 років тому +4

    You sir are a godsend. Thank you from all of us Circuits students out there!

  • @DevinDTV
    @DevinDTV 7 років тому +59

    9:10 why's it V1-V2/R1 instead of just V1/R1?

    • @mirza360
      @mirza360 7 років тому +71

      Because, if you consider the voltage coming from V1 and goes to V2 through the resistor R1, there should be a voltage drop at resistor R1. Therefore, you get this: V1-Voltage drop at R1=V2. So the drop voltage or the voltage across R1 resistor= V1-V2. Then if you follow the Ohm's law to determine the current flowing at R1 area that is I=Voltage across R1/R1; your equation becomes: (V1-V2.)/R1. You should note that, V1 is the node voltage that indicates the charge

    • @ChristianDybdahlXTR
      @ChristianDybdahlXTR 4 роки тому +1

      @@mirza360 shouldn't that mean, according to what you wrote, that R2 also has a voltage drop across it, which it does if course, but why is that current calculation then not (V2-V3)/R2?

    • @mirza360
      @mirza360 4 роки тому +4

      @@ChristianDybdahlXTR Actually, there will be no V3 as the connection is shorted toward the negative terminal.

    • @damianrivas
      @damianrivas 4 роки тому +3

      @@mirza360 So could also say the equation IS (V2-V3)/R2 but V3 = 0

    • @ibeatits
      @ibeatits 4 роки тому +3

      had the same question. Thanks to all the answers

  • @caglaryldz5987
    @caglaryldz5987 3 роки тому +1

    In the most right of the figure, there is a blank wire. How is it following the middle wire? I am confused. I think there is a problem with the question.

  • @amirbarkhordar2611
    @amirbarkhordar2611 9 місяців тому

    Thanks for the great video. I would have identified step one as finding the nodes first.

  • @MsDanijelac
    @MsDanijelac 8 років тому +9

    Thanks helped a lot , if you guys have time make more videos on electrical based lessons. Keep it up

  • @sleephourofmotivatwakeupas6512
    @sleephourofmotivatwakeupas6512 6 років тому +2

    Sir.. Your UA-cam channel is the best place to learn mathematics and physics.. Thank you sir

  • @aselim20.
    @aselim20. Рік тому +1

    I wrote it.

  • @amirhosseinnoori
    @amirhosseinnoori 3 роки тому

    Hi, just a question: how would you identify the direction of the currents around the branch at 7:35 . Do you just assume?

  • @HeathenMidas
    @HeathenMidas 5 років тому +6

    How do you know where the current arrows will point to?

    • @mirza360
      @mirza360 4 роки тому +2

      Actually its CONVENTIONAL CURRENT which has a path from positive to negative.
      Conventional Current or CC is a method for simplifying the basic Amperage concept. Also, CC is the thing which ammeters measure. In this case, please check out the battery or emf terminal's orientation. Although the flow of electron is from negative terminal to positive terminal, the conventional current is the reason behind calculating the flow of current from positive to negative :)

  • @jedelcaldovlogs857
    @jedelcaldovlogs857 2 роки тому

    Hi sir. This is great content, for us a student it could help to understand the problem.

  • @youssifgamal8545
    @youssifgamal8545 3 роки тому

    what is the definition of a node ? and based on what should I set directions of currents ?

  • @EATW
    @EATW 5 років тому +2

    nodal and mesh analysis selection criteria

    • @jvg7806
      @jvg7806 4 роки тому

      my intuition would say, look at the amount of nodes you would have to give a name in the nodal analysis, and the amount of meshcurrents you'd have to define if you were to work with loop analysis. Use the one that takes the least calculations

  • @irfanpeer4079
    @irfanpeer4079 4 роки тому

    What is the point of the reference node? What purpose does it serve. It is not like it actually acts as a benchmark/ground when writing the equations. The equations are the standard Kirchhoff's equations. I mean can someone explain the purpose of node voltage in general. Isn't it exactly like finding the current and etc the normal way through Kirchhoff's laws?

  • @curtpiazza1688
    @curtpiazza1688 Рік тому

    Excellent! 😊

  • @janwrobel9734
    @janwrobel9734 6 років тому +1

    Awesome video!!! Now I know everything !!! :D thx!

  • @user-gh7up4wd6m
    @user-gh7up4wd6m 5 років тому +2

    can i ask something? why i1= v1-v2/R1 not v2-v1/R1?

    • @strahinjadimitrijevic7654
      @strahinjadimitrijevic7654 5 років тому +2

      Because node 1 is on a higher potential than node 2. Node 1 is right after the positive terminal of the battery, and potential there is 15V, and when you move across R1, there is a voltage DROP, so potential at node 2 is less than 15V, so the difference in potentials (voltage drop on R1) is V1-V2

    • @apocalypticbean
      @apocalypticbean 3 роки тому +1

      It is actually a matter of how the guy defined the direction of current. If the direction of current was defined as coming out of the node, then the voltage drop would be v2 - v1. Current (which is a flow of positive charge) flows from higher to lower voltage, always.

  • @user-zx1rv9iy8x
    @user-zx1rv9iy8x 7 років тому

    thanks to upload a good video. by the way, could you please tell me why the node on the left side of node 2 can't be a ground node? i thought the left node has same number of elements ( voltage source, resistance, current source).

  • @BrownKidinBeijing
    @BrownKidinBeijing 8 років тому +1

    ধন্যবাদ ভাইয়া ।

  • @doeeeku6938
    @doeeeku6938 5 років тому

    nice video!!! informative

  • @user-qp4cq7er3p
    @user-qp4cq7er3p 6 років тому

    nice video help a lot thanks

  • @yunseiprod
    @yunseiprod 3 роки тому

    this video needs to be updated right this instant i refuse to stand for this

  • @amratef6966
    @amratef6966 8 років тому +2

    Can u explain why node voltage 1 equal 15

    • @kotasriveni7914
      @kotasriveni7914 7 років тому

      Amr Atef he just took it to explain us the problem

    • @poonchild
      @poonchild 5 років тому

      It’s trivial.

  • @aniruddha7-8-97
    @aniruddha7-8-97 5 років тому +2

    Why 'minus' Is at 8:24?

    • @nicks5438
      @nicks5438 3 роки тому

      One year later: The currents into a node equal the currents out of the node. A more clear way to write it would be
      i1 = i2 + Is
      Since i1 is entering the node, and i2 + Is are leaving the node. That's how I like to look at it, hope it helps.

  • @shubhamjain1328
    @shubhamjain1328 7 років тому +3

    there is voltage drop at the resistor R2 also. So shouldn't it be V2-V3/R2 instead of just V2/R2 ?

    • @GielL96
      @GielL96 7 років тому +8

      He does that, but V3=0V, because it's the reference node. So that makes it V2/R2.

    • @srinjoykar7236
      @srinjoykar7236 6 років тому

      Shubham Jain Detective L ....... I am Kira 😂😂😂

  • @VinayKumar-nk2xz
    @VinayKumar-nk2xz 7 років тому +2

    very good

  • @mannyobi6171
    @mannyobi6171 8 років тому +1

    Thanks for the video! I'm stuck trying to figure out why i1 = (v1 - v2)/4kΩ. Please help me to understand.

    • @keatingsutherland392
      @keatingsutherland392 8 років тому

      Explain what you don't understand about it. Like why does the current of node 1 = voltage of node 1 - voltage of node 2 divided by 4k ohms?

    • @keatingsutherland392
      @keatingsutherland392 8 років тому

      Remember Ohms law?

    • @tusharkantananda8514
      @tusharkantananda8514 7 років тому

      Benjamin Dunn hi

    • @rhandycan1
      @rhandycan1 7 років тому

      ohms law. solving I=v/R.

    • @johnnolen8338
      @johnnolen8338 4 роки тому +7

      i1 is the branch current flowing in the 4k𝛀 resistor. The direction that he drew for the arrow representing i1 on the diagram indicates that i1 flows from node 1 to node 2. Current always flows from high potential to low potential. That means that according to the current direction indicated on the diagram v1 > v2. Therefore the voltage drop across the 4k𝛀 resistor is given by v1 - v2. (The voltage at one end of the resistor is v1; and at the other is v2.) According to Ohm's law then (v1 - v2) = i1 x 4k𝛀. Solving that expression for i1 gives i1 = (v1 - v2)/4k𝛀. The directions of the branch currents as labeled in the diagram are completely arbitrary; however, if when you solve the KCL equations for v1 and v2 it turns out that v2 > v1 then that means that you chose the wrong direction for i1. (If you plug v1 & v2 into your equation for i1, you'll get a negative number. The minus sign indicates that i1 is flowing in the opposite direction from what you originally assumed.)

  • @mikeyheneghan4753
    @mikeyheneghan4753 6 років тому +15

    How is V1 a node?

    • @marianeamtu1579
      @marianeamtu1579 6 років тому +2

      Michael Heneghan it is not....

    • @jkachary1
      @jkachary1 6 років тому +3

      nodes are named in two types- simple (only 2) and principal (3 or more)

    • @kevinjohnson3086
      @kevinjohnson3086 6 років тому +5

      A junction between at least 2 element/components is a node

  • @mmmikkko
    @mmmikkko 6 років тому

    Why i1=(V1-V2)/4ohm
    Why not consider the V on R2? For found i1?
    Can you help me, please?

    • @tysenergy3810
      @tysenergy3810 6 років тому

      ua-cam.com/channels/nQiktQpAYUHghfiF6WIQfg.html

  • @kotasriveni7914
    @kotasriveni7914 7 років тому

    can anyone help me on y i2=v1/r2 since i2 is due to 15v and not coz of Is=3mA.

  • @hoshimochi7102
    @hoshimochi7102 4 роки тому

    why is V1 = 15volts even if V1 and Vs arent parallel?

    • @brandonlovatt
      @brandonlovatt 3 роки тому +1

      because it is next to a voltage source of 15v and no components that could change it are between the source and that node!

    • @hoshimochi7102
      @hoshimochi7102 3 роки тому

      @@brandonlovatt thank you!

  • @conc35
    @conc35 6 років тому +1

    What is the benefit of reference node this is not helpful

    • @jkachary1
      @jkachary1 6 років тому

      If u take it with only one node voltage V2 u will understand provided u give proper current direction

  • @naveenttkodaguflod7222
    @naveenttkodaguflod7222 3 роки тому

    Why dont you take 4Kohm as 4000 if you take 4, then will it not be like 4ohm.

    • @momensy2136
      @momensy2136 Рік тому

      the answer will be just in mA.
      lol it was 2 years ago but being late is better than not coming at all.

  • @prohabetamu
    @prohabetamu 5 років тому +3

    i like ur video but ur too slow

  • @timo86m
    @timo86m 6 років тому

    I don't get i1 in step 4
    Why isn't it v1/r1

    • @poonchild
      @poonchild 5 років тому +1

      Timo m No. you must consider that V1 is the voltage BEFORE the resistor and that V2 the voltage AFTER. V1 and V2 are nodes.
      Resistors have a voltage drop hence V1 a V2.

  • @yunseiprod
    @yunseiprod 3 роки тому +1

    why graze over the parts that are actually confusing? I am going to commit sewer side

  • @jibrajbhandari3020
    @jibrajbhandari3020 6 років тому +1

    sir

  • @youbuusta
    @youbuusta 5 років тому

    where's the next video

    • @dougedmunds
      @dougedmunds 5 років тому

      m.ua-cam.com/video/LMC3jcNomNc/v-deo.html

  • @warmhappyguy
    @warmhappyguy 5 років тому +1

    Hello fellow students from GMIT :))

  • @4thapple341
    @4thapple341 7 років тому

    nodal is a little more time

  • @kpkpkpkpkpkpkpkpkp
    @kpkpkpkpkpkpkpkpkp 4 роки тому +1

    a lot of time is lost in painting the characters to write

  • @jasssa8635
    @jasssa8635 7 років тому +33

    haha "kurkov"? it's kirchhoff

    • @dblackoutx
      @dblackoutx 5 років тому +2

      haha it's кирхоф innit (in cyrillic it's read as 'kirhoff')

  • @Anonymous-pq4mr
    @Anonymous-pq4mr 5 років тому +3

    Not so helpful !!!!! DISAPPOINTED

  • @turkishstig8489
    @turkishstig8489 7 років тому +1

    A node is where 3 or more elements meet, you named nodes where only 2 meets.

    • @kevin909211
      @kevin909211 7 років тому +3

      he said 2 or more....

    • @vaddadisairahul2956
      @vaddadisairahul2956 7 років тому +1

      Burak Muhammetoğlu in the diagram , 3 is a node connected to 3 elements

  • @zakorkaz
    @zakorkaz 6 років тому

    Learn how to pronounce the word "components." I kept dwelling on that.