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:
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Thanks for watching, I hope it helps!

[@Engineer4Free]

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

[@Eduardo_Espinoza]

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]

@@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]

Finding current and voltage is complex

[@AngelLopex300]

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

[@Engineer4Free]

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

[@chrispatmatbuilds]

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]

kzbin.info/www/bejne/hH2Ql2aHmLJkqrs

[@Mac_TO20]

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

[@Engineer4Free]

Glad to hear it!! =)

[@BallisticWo1f]

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]

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

[@Engineer4Free]

Glad you liked it!! 🙂

[@mashrafimorshed18]

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

[@Snellie-ch9ut]

Calmly explained, that's great

[@CoolyCools]

i wouldnt have done my homework without this thanks mister

[@olissvans758]

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

[@user-dc7gp1pv4q]

Thanks for this effective tutorial

[@Engineer4Free]

Glad it was helpful! 😁

[@jiayi5211]

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

[@sagnikpoddar6330]

bro explained it better than college professor

[@ObservantAlchemist]

Thanks. Super easy to understand

[@Engineer4Free]

Glad to hear that!!

[@skyborne6393]

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

[@ezatali5131]

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

[@Eduardo_Espinoza]

+1 My exact concern!

[@igorrocha1845]

BRO, THANKS SO MUCH! Just subscribed to your channel

[@artistic.harman]

bro ate the whole circuit haha btw thanks :)

[@Engineer4Free]

nom nom nom

[@joyeetachoudhuri4834]

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

[@Engineer4Free]

Yes that would be great for some future videos 💪

[@ziggycabs3140]

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!

[@hammertime3286]

amazing video

[@Engineer4Free]

Thanks!! Full playlist is down in the description 😁

[@tom53332]

i wish my life could be unraveled this way

[@ProblemSolversGang]

your method is great. keep going.

[@tacia4931]

Learnt more from this video than I did in class

[@lukepearce3592]

Thanks

[@XerathMTA]

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]

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

[@soothingsounds3659]

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

[@Joram_rox]

Your the best bro❤

[@Caleb-mf6cp]

The color coding is genius.

[@zerowolf137]

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

[@Squeakbelz]

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

[@m.jnowsin1233]

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 💫

[@omeryildizhan]

Thank you so much for helping me to understand

[@kotarokatsura9147]

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

[@zarategonzalezmariana7398]

Thanks. Your voice is amazing :3

[@jackyzhou3642]

Well done

[@Engineer4Free]

Thanks Jacky!

[@letsstudy2308]

It was litteraly very easy for me (tenth grader)

[@Elias-N]

Very well explained!!!

[@theeverleinhour9616]

This is so satisfying

[@cia1218]

Theory tests might require rounding to 3 sf so maybe calculate in 5sf? As i got 1.520 ohms when calculation by myself. Great video though

[@yunus2224]

thank you so much

[@CoderSV3]

Thank you very much!

[@liamoneil2254]

I love this thank you for sharing

[@kisalaykarnsingh3337]

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

[@Engineer4Free]

Awesome!! Thanks for watching =)

[@muhammadshafiqizhambinkhai8591]

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

[@ustadg9114]

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

[@eddie6167]

Great video, thank you!

[@Michael-jv2gf]

Nice Video!

[@maxgiantbanana7344]

Interesting !!!very detailed demonstration !!!

[@PaulSolochi-bi6jw]

How to the same equivalent resistor using Delta star connection?

[@user-nf2qz4eb9z]

wtf you are genious

[@ashasunny1584]

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

[@niceguy4801]

Thankyou sir

[@math-with-Suhaib]

Hello teacher

[@Engineer4Free]

Hey

[@spoon9141]

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

[@shayanibrahim.1]

Ans is 0.33433 ohm

[@mohammadtahfizulhuda7151]

What are the values of power of all resistors?

[@deepshab57]

What is equivalent resistence

[@Engineer4Free]

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.

[@rsanthi8681]

நன்றி

[@storyflo]

damn why is this so easy...

[@omr3600]

please do AC 3 phase analysis 🥺

[@user-di5dt7dy6x]

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

[@Engineer4Free]

Good job!! 👍

[@anishkushwaha293]

Actual value 1.56 ohm

[@omr3600]

where's wye and delta transformation 😭?

[@diegonunez5621]

Ah yes my colorblindness strikes again.. great video though

[@equiv721]

kzbin.info/www/bejne/hH2Ql2aHmLJkqrs

[@Engineer4Free]

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 👌👌

[@jebunnaharnepu8746]

Not too difficult

[@Engineer4Free]

Great!

[@Venom-nk8nd]

🇵🇬🇵🇬,..,

[@n051de4]

bruh

[@Engineer4Free]

Bruhhh

[@rudrakshadwivedi6477]

mmm this was lul