18 - Thevenin's Theorem - Concept with Solved Examples

18 - Thevenin's Theorem - Concept with Solved Examples #knust
In this video we are going to learn how to solve circuit problems using Thevenin's theorem.
Thevenin's theorem states that any linear circuit connected between two terminals can be replaced by a Thevenin's voltage Vth in series with a Thevenin's resistance Rth.
To find the current flowing in a resistor;
1. Remove the resistor you want to find the current through and mark the terminal
2. Find the Vth using KVL
3. Deactivate all independent sources, open circuit current sources and short circuit voltage sources and find the Rth
4. Produce the Thevenin's equivalent circuit and reconnect the resistor you removed.
5. Find the current through the resistor using the formula I = Vth/(Rth + Rl)
00:00 - Intro -
03:23 - Example 1
11:24 - Example 2
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Пікірлер: 161

  • @farkhangarba
    @farkhangarba2 жыл бұрын

    Thank you so much. The way I was so confused and finally you have relieved the stress I was having.👍🏾👍🏾👍🏾

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 жыл бұрын

    Thank you so much Garba

  • @derkvabdern7045
    @derkvabdern70458 ай бұрын

    Thank you so much sir! This is the only video that helped me understand the Thevenin's Theorem!

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    8 ай бұрын

    Wow. That's nice, you are most welcome. Where do you watch me from?

  • @lanreakintayo3443
    @lanreakintayo3443 Жыл бұрын

    Your explanation is very very easy to understand. Thank you very much.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Youre most welcome

  • @pavanpai2439
    @pavanpai243911 ай бұрын

    You just made it so easy to understand, thank you very much

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    11 ай бұрын

    You are most welcome

  • @Peris_M
    @Peris_M8 ай бұрын

    Thank you so much!! Finally have understood Thevenins's Theorem

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    8 ай бұрын

    Wow. That's nice. What's your country of origin?

  • @Peris_M

    @Peris_M

    8 ай бұрын

    Kenya

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    8 ай бұрын

    @lizziemwesh7797 thanks so much. Extend my greetings to students in Kenya

  • @seppevangestel5114
    @seppevangestel51142 жыл бұрын

    Thanks my friend

  • @kofinicol
    @kofinicol2 жыл бұрын

    You helped me a lot. Thanks!!

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 жыл бұрын

    Thanks so much

  • @Jeremiah.k
    @Jeremiah.k Жыл бұрын

    My African brother you have helped me so much. This video is the best I have found explaining the step by steps on how do this.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thanks so much. What's your nationality?

  • @Jeremiah.k

    @Jeremiah.k

    Жыл бұрын

    @@SkanCityAcademy_SirJohn both my parents are from Sierra Leone but I’ve lived in England all my life.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Oh great, I see.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    So are you in college or university?

  • @Jeremiah.k

    @Jeremiah.k

    Жыл бұрын

    @@SkanCityAcademy_SirJohn I go university in Southampton

  • @pharaohscurse
    @pharaohscurse6 ай бұрын

    Excellent explanation. Thank you!

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    6 ай бұрын

    You are most welcome

  • @AhmedBnHamel
    @AhmedBnHamel2 жыл бұрын

    thank you so much Sir, you are helping me a lot :)

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 жыл бұрын

    Awww, youre welcome

  • @sinanhimself1707
    @sinanhimself1707 Жыл бұрын

    Thank you so much for the great video

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    You are welcome

  • @deborahayodele3686
    @deborahayodele36864 ай бұрын

    Thank you😊. This was very helpful.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    4 ай бұрын

    you are most welcome Debbie

  • @user-kf1zf5dn1i
    @user-kf1zf5dn1i Жыл бұрын

    one of the few videos that made me wish i can put two likes

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thanks so much

  • @nibzlegend99
    @nibzlegend99 Жыл бұрын

    Irrezistable video , like it when you say rezista my man :D

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thanks so much

  • @caghey
    @caghey7 ай бұрын

    i finally understand. tysm!!!

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    7 ай бұрын

    That's great

  • @ishokie
    @ishokie Жыл бұрын

    Thank you so much really helped

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    You are most welcome

  • @CHRISTABELSIAW
    @CHRISTABELSIAW4 ай бұрын

    🥹I now understand thanks Sir I pray midsem will go well 😁

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    4 ай бұрын

    Thanks for understanding. It will definitely go well. Good luck

  • @spelazaloznik1775
    @spelazaloznik17752 жыл бұрын

    veerrrryyy helpfull:):):):):) thank you

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 жыл бұрын

    Youre welcome

  • @PrinceCaleb-hb3kp
    @PrinceCaleb-hb3kpАй бұрын

    Great lesson sir. but i'm kin'of wondering as to why Vth is negative since the main source is the 35v

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Ай бұрын

    It doesn't really matter, the negative only means that that current is rather moving in the opposite direction to the direction we used.

  • @XerathMTA
    @XerathMTA6 ай бұрын

    amazing teacher man you are the best at explaining things

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    6 ай бұрын

    Aww thank you so much

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    6 ай бұрын

    Where do you watch me from?

  • @XerathMTA

    @XerathMTA

    6 ай бұрын

    @@SkanCityAcademy_SirJohn canada Ontario, yea I’m up pretty late 😭

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    @SkanCityAcademy_SirJohn

    6 ай бұрын

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    @XerathMTA

    6 ай бұрын

    @@SkanCityAcademy_SirJohn don’t have whatsapp, I have discord, skype, instagram, snapchat

  • @annamariashzltrek9235
    @annamariashzltrek92352 жыл бұрын

    in the first example, when the current of the final circuit turns out to be MINUS 3 ampere, doesnt it mean that the current has counter clockwise direction? or else put, when Vth is found negative, doesnt it mean that the positive and negative pole are reverse as initially assumed?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 жыл бұрын

    Exactly....

  • @rd4177
    @rd41772 жыл бұрын

    Nice explanation

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 жыл бұрын

    Thanks so much

  • @user-rt6ij3rz5y
    @user-rt6ij3rz5y Жыл бұрын

    Love you man

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thanks so much

  • @legmazpictures
    @legmazpictures Жыл бұрын

    Thank u very much

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    You're most welcome

  • @faithfadare8864
    @faithfadare8864 Жыл бұрын

    Just the best

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Awww thanks so much Faith. I'm grateful.

  • @siddharthdas8321
    @siddharthdas832111 ай бұрын

    Thanks!

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    11 ай бұрын

    You are welcome

  • @FatawYakubu-908
    @FatawYakubu-9084 ай бұрын

    Thanks boss 🙏

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    4 ай бұрын

    You are most welcome

  • @ikhtiarhossain
    @ikhtiarhossain Жыл бұрын

    Why do we need to assume there is a voltage source between points a and b in the the second example? In first glance I thought all the resistors are in series (5+10+5) because they have the same current

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    At glance, everyone will assume that the three resistors are in series but that's not true. You will need to think of plugging in a voltage source to see how current will be distributed in the circuit. Due to the presence of the node between 5 and 10, current will split. So no same current will flow throw all the three resistors

  • @Johannes_Seerup
    @Johannes_Seerup4 ай бұрын

    Be careful with the units. You tend to forget those. You can’t just say: V = 5I + etc. Because V is measured in volts, and I is measured in amps

  • @anonymous12540
    @anonymous12540 Жыл бұрын

    Helpful ☺️☺️☺️

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thank you

  • @dr-mnizam

    @dr-mnizam

    Жыл бұрын

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  • @javedhanif11
    @javedhanif11 Жыл бұрын

    Nice video

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thanks so much Javed. Where do you watch from?

  • @keletsoleburu3594
    @keletsoleburu3594 Жыл бұрын

    Another great video sir...but why is it that in example 2, the 2A current is considered to keep circulating around 1 loop over and over

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    current produced by the 20v flows through both 10 and 5ohms and through the last 5ohms before it goes back to the source. meanwhile at the node where the 2nd 5 ohms is connected, current from 20v flows downwards while 2a flows upwards opposing eachother. now when you consider 2a to be circulating in that loop, it makes it easy to realize that it opposes the current produced by 20v in that branch

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    where do you watch from?

  • @keletsoleburu3594

    @keletsoleburu3594

    Жыл бұрын

    @@SkanCityAcademy_SirJohn I'm from Botswana sir 🇧🇼

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

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  • @erencelik049
    @erencelik049 Жыл бұрын

    Can you please explain why didnt 2A went only in 5Ω's direction and not to the voltage sources direction too?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    the 20v produces its own current I, and according to conservation of energy, the same current produced by 20v should be the same current that returns to 20v, hence 2A is considered to bee circulating in that loop passing through only the 5ohm resistor

  • @erencelik049

    @erencelik049

    Жыл бұрын

    @@SkanCityAcademy_SirJohn thank you for explaining and how fast it was

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    @@erencelik049 you're most welcome

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    @@erencelik049 where do you watch me from?

  • @erencelik049

    @erencelik049

    Жыл бұрын

    @@SkanCityAcademy_SirJohn Turkey. But my lessons are in german taught

  • @kwasisb5390
    @kwasisb5390 Жыл бұрын

    The second example when viewing the Vth towards the right side won't it be Vth+20 = 10(3/2) but I ended up having -5. Or I misunderstood something?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Direction of vth opposes 20v hence, vth - 20 = -10(1.5)

  • @kwasisb5390

    @kwasisb5390

    Жыл бұрын

    @@SkanCityAcademy_SirJohn as in moving from Vth anticlockwise through the 20V. I thought since the current will enter the negative terminal of the 20v it will be positive or? Like if we move anticlockwise from Vth the 20V will also be in anticlockwise.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Yes it will be positive as you say. But mind you current will leave negative terminal of vth making vth negative. Hence -vth + 20 = 10(1.5)

  • @kwasisb5390

    @kwasisb5390

    Жыл бұрын

    @@SkanCityAcademy_SirJohn oh ok thanks So I'm assuming that the terminals of the Vth is kinda like in like with the terminals of the voltage source?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Once they are opposing each other the polarities will always change

  • @friexino6580
    @friexino65804 ай бұрын

    I have a question can i just use loop equation to find everything without using thevenin?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    4 ай бұрын

    You you can. But once the question is specific, that using thevenin. Then you are restricted.

  • @danielpaulokpe365

    @danielpaulokpe365

    2 ай бұрын

    The loop equation is what? Mesh analysis?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 ай бұрын

    @@danielpaulokpe365 kindly explain yourself well.

  • @danielpaulokpe365

    @danielpaulokpe365

    2 ай бұрын

    @@SkanCityAcademy_SirJohn what is loop equation ? She asked if she could use it

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 ай бұрын

    @danielpaulokpe365 yeah, they are the mesh equations.

  • @capone9905
    @capone9905 Жыл бұрын

    in the second example can you please explain the I-2

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    well, good day, its very simple and easy to understand, consider the loop on the far left, the current in that loop will keep on circulating over and over. Now, the current produced by the 20v will flow throgh the 10, 5, and 5 ohms resistors. Since there is an open circuit, the current will not divide at the first loop where 10ohms, 5ohms and vth are connect, at the next node, the current wont divide but all will flow downwards in the 5ohm. notice that the two current values flowing in the 5ohms have opposite signs hence one should be negative. anyone of them can be negative, but the actual answer you get at the end proves the original direction of the current

  • @EtseyAtsusuccess
    @EtseyAtsusuccess2 ай бұрын

    God bless you...I encounter same question yesterday in exam hmm I failed oooo

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 ай бұрын

    Same question?? Were you able to solve

  • @EtseyAtsusuccess

    @EtseyAtsusuccess

    2 ай бұрын

    @@SkanCityAcademy_SirJohn no because I wasn't on campus before and it dropped yesterday sir hmm I was confused rough

  • @EtseyAtsusuccess

    @EtseyAtsusuccess

    2 ай бұрын

    I love all your steps thanks very much

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 ай бұрын

    @EtseyAtsusuccess owww so sorry. Which school do you attend?

  • @EtseyAtsusuccess

    @EtseyAtsusuccess

    2 ай бұрын

    @@SkanCityAcademy_SirJohn ACCRA TECHNICAL UNIVERSITY ATU

  • @user-wb2lk3nu9j
    @user-wb2lk3nu9j5 ай бұрын

    Why does the 2A current didn't split at that node

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    5 ай бұрын

    You can decide to split it, but the best way is to consider the voltage source as your reference source and use that to do current distribution. And that is what I did.

  • @XerathMTA
    @XerathMTA6 ай бұрын

    how do you know what sign VTH is though? 15:35

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    6 ай бұрын

    You need to just look through the terminal to see which direction will be relevant to your calculation, then you decide.

  • @cactus4964

    @cactus4964

    15 күн бұрын

    Sir but how do you know on either to use clockwise or anti-clockwise for the first question when finding the Vth

  • @akashpattnayak3174
    @akashpattnayak31748 ай бұрын

    Sir if you are going in anticlockwise that should be -6I not 6I

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    8 ай бұрын

    No please, notice that in the anti-clockwise direction, the current in 6 ohms is in line with the anti-clockwise direction hence it's supposed to be 6i not -6i. Please do you get it?

  • @kumarapillay3122
    @kumarapillay31224 ай бұрын

    100X better than organic chemistry tutor video

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    4 ай бұрын

    Wow☺️, thanks so much for your comment.

  • @YungAGU
    @YungAGU2 ай бұрын

    shout out to you🤩

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    2 ай бұрын

    Thanks so so much ☺️

  • @mukasajoseph5187
    @mukasajoseph5187 Жыл бұрын

    More explanation

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Kindly check channel playlist for applied electricity, for more videos on this topic

  • @Thevolgger0346
    @Thevolgger0346 Жыл бұрын

    If we get 10 ohm vth?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Please come again with your question

  • @derricksekyi7462
    @derricksekyi7462 Жыл бұрын

    I really appreciate this video too but please from the second example why is the current passing through the 5 ohms resistor ( I-2 ) A. I'm alittle confused, what if it's rather (2-I )A. That's not the answer though but just to clear my thought and to get a better understanding why the current in the 5 ohms resistor is ( I-2 ) A

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    So first, we assign current I which flows through 10 and 5 ohms on top because there is an open terminal at ab so no current flows through that branch. The current I flows through the other 5 ohms on the left. Notice that the current source at the far left points downwards which means it's going to circulate in the 5 ohms in the anti-clockwise direction opposing the initial direction of I

  • @derricksekyi7462

    @derricksekyi7462

    Жыл бұрын

    @@SkanCityAcademy_SirJohn Thanks you're the best 😊👍🏼

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Thanks so much

  • @jeewakanuwantha7561
    @jeewakanuwantha756112 күн бұрын

    I=V/Rt=42/18 (12+6) how could be 18 ?These are parallel of seires?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    12 күн бұрын

    I don't really get your question, but the most important thing is, because of the open circuit, there will be no current in 3 ohms, so the current in 12 and 6 is same, which means 12+6 is 18 Hence I = 42/18 = 21/9

  • @binyammulat2303
    @binyammulat230310 ай бұрын

    i don't understand how the 2A current only flows through the 5ohm resistor.

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    10 ай бұрын

    Kindly state the time in the video for easy reference

  • @binyammulat2303

    @binyammulat2303

    10 ай бұрын

    12:50@@SkanCityAcademy_SirJohn

  • @binyammulat2303

    @binyammulat2303

    10 ай бұрын

    @@SkanCityAcademy_SirJohn 12:50

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    10 ай бұрын

    It depends on how you assign current in the entire circuit. I took the current produced by the 20v as my reference, which means that 2A will just be circulating in the immediate loop. Meanwhile whichever way you do it, provided it's the best approach, you need to get the same answers

  • @binyammulat2303

    @binyammulat2303

    10 ай бұрын

    @@SkanCityAcademy_SirJohn cud u send me a link or name of a book that can explain briefly ur method It feels Greek to me

  • @Thevolgger0346
    @Thevolgger0346 Жыл бұрын

    Sir when current and path are in same direction so it will become -ve?

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    When current is in line with the direction you are taking it's positive

  • @TOLANAGERI
    @TOLANAGERI4 ай бұрын

    10Q

  • @aiman1434
    @aiman1434 Жыл бұрын

    tu circuit lain bang tak sama dengan gambar

  • @Jo3elll
    @Jo3elll Жыл бұрын

    the answer to the first example is just 21 not -21

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    the answer is -21v or 21v depending on the direction you are working with. -21v and 21v are actually the same thing, the only difference is the polarity, where the positive terminal is on the right or the left.

  • @safaoua8260

    @safaoua8260

    6 ай бұрын

    ​@@SkanCityAcademy_SirJohn but didnt you take the voltage across the 6 ohm resistor in reverse the current is entring from pos polarity to the ground(i mean from above ) so the voltage should be reversed

  • @randommanexists555__NA
    @randommanexists555__NAАй бұрын

    i hope ou realised the mistake you made at question 2 when you found the thevenin voltage to be positive 5

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Ай бұрын

    I've not seen any error. So if you have you should point it out

  • @NiisExperience
    @NiisExperience Жыл бұрын

    the adds are too much bro

  • @SkanCityAcademy_SirJohn

    @SkanCityAcademy_SirJohn

    Жыл бұрын

    Okay, noted

  • @madarauchiha6777
    @madarauchiha677711 ай бұрын

    Peeeezy