Equivalent Resistance of a Complex Circuit with Series and Parallel Resistors

This tutorial goes over an example finding the equivalent resistance of a complex circuit with many series and parallel resistors. We just need to go through methodically one step at a time, recognizing small sections that are simple series or simple parallel between two nodes, and reduce those sections to equivalent resistors, and then iterating again.
This video is part of a full free course on electric circuits. The course covers DC circuits, circuit laws, current & voltage sources, series & parallel resistors, nodal analysis, mesh analysis, and AC circuits.
Links to the course are here:
Website: www.engineer4free.com/circuits
KZread: • Circuits
If you found this video helpful, then please give a 👍 and subscribe. If you're able to, please support my work on Patreon: / engineer4free
Also follow these:
Facebook: / engineer4free
Instagram: / engineer4free
Twitter: / engineer4free
LinkedIn: / engineer4free
Thanks for watching, I hope it helps!

Пікірлер: 91

  • @Engineer4Free
    @Engineer4Free3 жыл бұрын

    The full Circuit Analysis playlist is here: kzread.info/head/PLOAuB8dR35ocf9Typ1iX9NRmX0V04UYfQ Thanks for watching 🙌

  • @Eduardo_Espinoza

    @Eduardo_Espinoza

    Жыл бұрын

    I get it but I'm still confused lol So the current is the same for every single component but another video said current can change in parallel circuits. Idk 💀

  • @Engineer4Free

    @Engineer4Free

    Жыл бұрын

    @@Eduardo_Espinoza The current is not the same in every single component. Two resisters in parallel with difference resistance will have different currents through them, but the same voltage drop across. Check out videos 15-20 for Kirchhoff's laws here: engineer4free.com/circuits as well as videos 21-27 for more examples on current and division.

  • @rafihaider6439

    @rafihaider6439

    2 ай бұрын

    Finding current and voltage is complex

  • @AngelLopex300
    @AngelLopex3004 ай бұрын

    You've earned a special place in heaven with the invention of the node coloring!

  • @Engineer4Free

    @Engineer4Free

    4 ай бұрын

    Haha thanks! It seemed like the best way to demonstrate over video 😊

  • @chrispatmatbuilds
    @chrispatmatbuilds2 жыл бұрын

    I'd never seen the node coloring before. Absolutely blew my mind when you did it! I'll be using this from now on!

  • @equiv721

    @equiv721

    Жыл бұрын

    kzread.info/dash/bejne/gIBhyJWKk7CXpLw.html

  • @Mac_TO20
    @Mac_TO203 жыл бұрын

    Thank you for simplifying the lesson so well. One needs not see another lesson on how to calculate complex resistors.

  • @Engineer4Free

    @Engineer4Free

    3 жыл бұрын

    Glad to hear it!! =)

  • @BallisticWo1f
    @BallisticWo1f7 ай бұрын

    This helped so much, I had no idea how to figure out which were parallel or in series in a complex network of resistors until this video.

  • @pessimisticcatto1121
    @pessimisticcatto11212 жыл бұрын

    well explained in a creative manner! it was so satisfying for me to see the resistors get smaller in quantity :))

  • @Engineer4Free

    @Engineer4Free

    2 жыл бұрын

    Glad you liked it!! 🙂

  • @mashrafimorshed18
    @mashrafimorshed18 Жыл бұрын

    This circuit up there was really amazing. Though my answer was wrong , I was close. Thank you.

  • @Snellie-ch9ut
    @Snellie-ch9ut4 ай бұрын

    Calmly explained, that's great

  • @CoolyCools
    @CoolyCools7 ай бұрын

    i wouldnt have done my homework without this thanks mister

  • @ProblemSolversGang
    @ProblemSolversGang8 күн бұрын

    your method is great. keep going.

  • @Elias-N
    @Elias-N11 ай бұрын

    Very well explained!!!

  • @eddie6167
    @eddie61672 жыл бұрын

    Great video, thank you!

  • @Squeakbelz
    @Squeakbelz Жыл бұрын

    oh my god this is actually perfect THANK YOU!!!

  • @omeryildizhan
    @omeryildizhan2 жыл бұрын

    Thank you so much for helping me to understand

  • @olissvans758
    @olissvans7583 ай бұрын

    Would've loved to find this a year ago. Made something so complex look easy.

  • @theeverleinhour9616
    @theeverleinhour9616 Жыл бұрын

    This is so satisfying

  • @liamoneil2254
    @liamoneil2254 Жыл бұрын

    I love this thank you for sharing

  • @tacia4931
    @tacia4931 Жыл бұрын

    Learnt more from this video than I did in class

  • @Michael-jv2gf
    @Michael-jv2gf Жыл бұрын

    Nice Video!

  • @jiayi5211
    @jiayi52112 ай бұрын

    Ok now make a part two showing how to find the current and voltage for each resistor PLEASE

  • @ObservantAlchemist
    @ObservantAlchemist3 жыл бұрын

    Thanks. Super easy to understand

  • @Engineer4Free

    @Engineer4Free

    3 жыл бұрын

    Glad to hear that!!

  • @CoderSV3
    @CoderSV3 Жыл бұрын

    Thank you very much!

  • @Joram_rox
    @Joram_rox3 ай бұрын

    Your the best bro❤

  • @user-dc7gp1pv4q
    @user-dc7gp1pv4q3 ай бұрын

    Thanks for this effective tutorial

  • @Engineer4Free

    @Engineer4Free

    3 ай бұрын

    Glad it was helpful! 😁

  • @ziggycabs3140
    @ziggycabs31402 жыл бұрын

    0:50 - This is the one I was looking for! The formula lol! Even though I already did go through all of these before, forgetting how to calculate and the formula behind it was and will be my biggest problem lol! My memory is not that good enough to recall this one. So watching this part helps me a lot for a forgetful person like me lol! Thanks anyway!

  • @zarategonzalezmariana7398
    @zarategonzalezmariana73989 ай бұрын

    Thanks. Your voice is amazing :3

  • @Caleb-mf6cp
    @Caleb-mf6cp2 жыл бұрын

    The color coding is genius.

  • @maxgiantbanana7344
    @maxgiantbanana73442 жыл бұрын

    Interesting !!!very detailed demonstration !!!

  • @kotarokatsura9147
    @kotarokatsura9147 Жыл бұрын

    My prof told us that always start the calculation away from the source (voltage). Do you still get the same total resistance this way?

  • @ezatali5131
    @ezatali51312 жыл бұрын

    Thank you it helped a lot, could you please make a video finding the current in each of this resisters?

  • @Eduardo_Espinoza

    @Eduardo_Espinoza

    Жыл бұрын

    +1 My exact concern!

  • @yunus2224
    @yunus2224 Жыл бұрын

    thank you so much

  • @artistic.harman
    @artistic.harman5 ай бұрын

    bro ate the whole circuit haha btw thanks :)

  • @Engineer4Free

    @Engineer4Free

    5 ай бұрын

    nom nom nom

  • @tom53332
    @tom53332 Жыл бұрын

    i wish my life could be unraveled this way

  • @hammertime3286
    @hammertime32863 ай бұрын

    amazing video

  • @Engineer4Free

    @Engineer4Free

    3 ай бұрын

    Thanks!! Full playlist is down in the description 😁

  • @ashasunny1584
    @ashasunny158410 ай бұрын

    Is there any rules to calculate the complex resistor, that means series calculate first or parallel

  • @m.jnowsin1233
    @m.jnowsin12332 жыл бұрын

    May be in the figure u write correct but in writing part u calculate equivalent resistance is 0.521 ohm.......which will be 1.52 ohm as per figure......plz ans 💫

  • @lukepearce3592
    @lukepearce3592 Жыл бұрын

    Thanks

  • @jackyzhou3642
    @jackyzhou36422 жыл бұрын

    Well done

  • @Engineer4Free

    @Engineer4Free

    2 жыл бұрын

    Thanks Jacky!

  • @zerowolf137
    @zerowolf137 Жыл бұрын

    I'm just confused on where to draw the resisters after you add them

  • @niceguy4801
    @niceguy48012 жыл бұрын

    Thankyou sir

  • @soothingsounds3659
    @soothingsounds36593 ай бұрын

    Please make a video on Norton's theorem and Thevenin's theorem

  • @ustadg9114
    @ustadg91145 ай бұрын

    How will you apply current divide rule on it???

  • @muhammadshafiqizhambinkhai8591
    @muhammadshafiqizhambinkhai85912 жыл бұрын

    What if the Vs is place in the middle of the complex circuit

  • @user-nf2qz4eb9z
    @user-nf2qz4eb9z Жыл бұрын

    wtf you are genious

  • @XerathMTA
    @XerathMTA5 ай бұрын

    need help please, how do i know which resistors to combine first? its very confusing because i get different answers depending on the order i combine them

  • @Engineer4Free

    @Engineer4Free

    5 ай бұрын

    There can get not be one right answer. Just take two resistors at a time. Find two that are clearly in series, or two that are clearly in parallel, and apply the appropriate formula. Once they are combined, reassess, and pick two once again. Note that f you have two series resistors that together are in parallel with another one, you must combine the two series ones into their equivalent before doing the parallel calculation. Only the combination of the two would be in parallel with the third, not either if the two originals. Hopefully that makes sense. I'll try to make a few more similar videos in the coming weeeks

  • @letsstudy2308
    @letsstudy23088 ай бұрын

    It was litteraly very easy for me (tenth grader)

  • @mohammadtahfizulhuda7151
    @mohammadtahfizulhuda7151 Жыл бұрын

    What are the values of power of all resistors?

  • @joyeetachoudhuri4834
    @joyeetachoudhuri4834Ай бұрын

    Please do some more complex type networks like star and delta connections

  • @Engineer4Free

    @Engineer4Free

    Ай бұрын

    Yes that would be great for some future videos 💪

  • @PaulSolochi-bi6jw
    @PaulSolochi-bi6jw2 ай бұрын

    How to the same equivalent resistor using Delta star connection?

  • @kisalaykarnsingh3337
    @kisalaykarnsingh33373 жыл бұрын

    For me It is the best and most interesting numerical for class 10 physics lover

  • @Engineer4Free

    @Engineer4Free

    2 жыл бұрын

    Awesome!! Thanks for watching =)

  • @omr3600
    @omr36002 жыл бұрын

    please do AC 3 phase analysis 🥺

  • @skyborne6393
    @skyborne6393 Жыл бұрын

    Finding R Total is easy. Finding each V and I is what I came here for. 😢

  • @user-di5dt7dy6x
    @user-di5dt7dy6x3 ай бұрын

    I'm 17 and I finishes this in 2nd attempt😊

  • @Engineer4Free

    @Engineer4Free

    3 ай бұрын

    Good job!! 👍

  • @rsanthi8681
    @rsanthi86812 жыл бұрын

    நன்றி

  • @storyflo
    @storyflo Жыл бұрын

    damn why is this so easy...

  • @spoon9141
    @spoon91413 күн бұрын

    1:34 Why would that be series? It looks like it could be considered parallel

  • @math-with-Suhaib
    @math-with-Suhaib3 жыл бұрын

    Hello teacher

  • @Engineer4Free

    @Engineer4Free

    3 жыл бұрын

    Hey

  • @deepshab57
    @deepshab57 Жыл бұрын

    What is equivalent resistence

  • @Engineer4Free

    @Engineer4Free

    Жыл бұрын

    Ohms law says V=IR, or I=V/R, or R=V/I. A battery of a certain voltage will out out a certain amount of current depending on the resistance it feels between its terminals. Turns out that a bunch of resistors arranged in a certain way can give the same overall resistance as a single resistor. If one resistor gives the same overrllal resistance as a bunch of resistors arranged in a certain way, then they give equivalent resistance. This video shows how to simplify find what the single equivalent resistor is to the initial, more complicated configuration. Whether you have the initial more complicated configuration l, or the single equivalent resistor, the battery will feel the same resistance between its terminals and put out the same exact current.

  • @shayanibrahim.1
    @shayanibrahim.121 күн бұрын

    Ans is 0.33433 ohm

  • @anishkushwaha293
    @anishkushwaha293 Жыл бұрын

    Actual value 1.56 ohm

  • @omr3600
    @omr36002 жыл бұрын

    where's wye and delta transformation 😭?

  • @diegonunez5621
    @diegonunez5621 Жыл бұрын

    Ah yes my colorblindness strikes again.. great video though

  • @equiv721

    @equiv721

    Жыл бұрын

    kzread.info/dash/bejne/gIBhyJWKk7CXpLw.html

  • @Engineer4Free

    @Engineer4Free

    Жыл бұрын

    Derp, sorry!! With paper and pencil you won't be using colours, it just seemed helpful to illustrate in the videos. Just go one node at a time and eliminate series or parallel resistors systematically 👌👌

  • @Venom-nk8nd
    @Venom-nk8nd8 ай бұрын

    🇵🇬🇵🇬,..,

  • @jebunnaharnepu8746
    @jebunnaharnepu8746 Жыл бұрын

    Not too difficult

  • @Engineer4Free

    @Engineer4Free

    Жыл бұрын

    Great!

  • @n051de4
    @n051de43 ай бұрын

    bruh

  • @Engineer4Free

    @Engineer4Free

    3 ай бұрын

    Bruhhh

  • @rudrakshadwivedi6477
    @rudrakshadwivedi6477 Жыл бұрын

    mmm this was lul