Solving Circuits Using Voltage & Current Dividers

This example problem uses both the voltage divider and current divider method to solve for unknown voltages, currents, and power values.

Пікірлер: 73

  • @blogan2209
    @blogan22092 жыл бұрын

    The analysis for i2 is confusing when explained, but you achieved the correct answer. For those who found it hard to follow, I will try to help explain below... Since we know the current going into the node 1 is 0.5A, we can redraw the circuit using 0.5A as the current source and combine 50R + 10R (series) = 60R. 0.5A (Is = Current Source) --> 20R || 30R || 60R i1 i2 i3 We want to find the the current across the 30R = (i2). **** But first, let's find current across 20R or i1. 30R || 60R = 20R NEW Circuit: 0.5A (Is) --> 20R || 20R i1 (i2 || i3) = ix Current Division: Is * ( ix / ( i1 + ix ) ) i1 = 0.5A ( 20R / (20R + 20R) ) = 0.25A 30R || 60R (w/ i2 across 30R and i3 across 60R) i2 i3 Current Division: Is * ( i3 / ( i2 + i3 ) ) i2 = 0.25A (60R / (30R + 60R) = 0.1667A i3 = 0.5A - 0.25A - 0.1667A = 0.0833 Is i1 i2 i3 Check: KCL Rule 0.5A = 0.25A + 0.1667A + 0.0833A Is = i1 + i2 + i3 0.5A = 0.5A (GooD) Hope this helps :-)

  • @jcarlos4458

    @jcarlos4458

    2 жыл бұрын

    Very helpful, the video confused me on that part but this cleared it up

  • @ambition_junkiie83

    @ambition_junkiie83

    Жыл бұрын

    I’m so glad you took time to clarify this. That part of the video was confusing

  • @ath6632

    @ath6632

    Жыл бұрын

    but why are the resistors of 40 and 70ohms being ignored? im hella confused by that

  • @hanaanasr1064

    @hanaanasr1064

    Жыл бұрын

    @@ath6632 because current is the same in series and 40 ohm , 70 ohm is in series.

  • @Lucapro0909

    @Lucapro0909

    Жыл бұрын

    @@hanaanasr1064 now this was the anwsers i was looking for thk u brotha

  • @teckbeast5694
    @teckbeast5694 Жыл бұрын

    Life saver, found this right before my midterm. Keep doing what your doing 😊👍

  • @orlandobaez5396
    @orlandobaez53967 жыл бұрын

    This video was extremely helpful. You should make some on nodal analysis including super nodes, super position, operational amplifiers, and pretty much on the rest of circuits. Thanks for the help.

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    7 жыл бұрын

    I definitely have those topics on my to-do list, thanks for the feedback!

  • @kamalhuzaifa9768
    @kamalhuzaifa97685 жыл бұрын

    These videos are extremely helpful to stusents and to teachers also.

  • @zems9049
    @zems90495 жыл бұрын

    This is really amazing that i'm starting to love circuit until i solve problems by myself. :(

  • @pramodbhattarai9402
    @pramodbhattarai94025 жыл бұрын

    Bro, you just make it simple, Thank you so much

  • @anneriaspeling9467
    @anneriaspeling94675 жыл бұрын

    Thank you so much for this video! I was about to give up on circuit dividers altogether before finding this. You are a legend.

  • @reasen7834
    @reasen78342 жыл бұрын

    Thanks from Germany. It helped a lot!

  • @zeynepiremozkaya5170
    @zeynepiremozkaya51706 жыл бұрын

    great video, thank you!

  • @Lauramussss
    @Lauramussss5 жыл бұрын

    Is it possible to use the parallel addition on 60 ohms and 30 ohms instead of 60 and 20 for the current divider part? Thanks

  • @joelcruz2873
    @joelcruz28735 жыл бұрын

    For the resistor where you needed to find the power. After finding the voltage, and given the resistance; why didnt you use the voltage and resistance to find the current (i = V/R) then do P = IV?

  • @saiouln.8060
    @saiouln.80606 жыл бұрын

    Simply amazing!

  • @zainzaidi2160
    @zainzaidi21606 жыл бұрын

    Thats sick dude nice

  • @mypc-mygames2273
    @mypc-mygames2273 Жыл бұрын

    man i can't thanks u enough that was really helpful thanks a lot ^^

  • @alianichol2161
    @alianichol21614 жыл бұрын

    When calculating V2 which is 0.167A * 30 ohms = 5V wouldn't this be negative since the voltage is flowing in the opposite direction to the current i2??

  • @sharankumarnagendran2655
    @sharankumarnagendran26556 жыл бұрын

    Thanks... Good tutorial

  • @xenie6092
    @xenie60924 жыл бұрын

    Really useful. Thank you sir ❤️

  • @hiphop4x4
    @hiphop4x45 жыл бұрын

    great vid, thank you

  • @Lauren-cv6ky
    @Lauren-cv6ky3 жыл бұрын

    Thank you!

  • @corrievanzyl-cj9zu
    @corrievanzyl-cj9zu9 ай бұрын

    If I have an 2amp 12volt supply how will this affect the amperage output if I take the voltage down to 6volt . All DC of course.

  • @hilalghafoor8516
    @hilalghafoor85166 жыл бұрын

    for finding for finding v1 we take resistance 80 and for v3 we take 10 ohm why

  • @umangrathore6825
    @umangrathore68255 жыл бұрын

    What happened to 70 ohm resistor???

  • @Automationacademytv
    @Automationacademytv4 жыл бұрын

    What software you are using

  • @iii4986
    @iii49866 жыл бұрын

    thaanks ♥

  • @thechosenasainone3349
    @thechosenasainone33494 жыл бұрын

    Hey thx youuuuuuu

  • @HafizurRahman-px9yx
    @HafizurRahman-px9yx Жыл бұрын

    why you calculate i1 instead of i2.

  • @ankurnsu8796
    @ankurnsu87963 жыл бұрын

    Good job

  • @2d_melly
    @2d_melly3 жыл бұрын

    Sir, my question is, there are many resistors there. How are you going to know that, this one is R1,R2??

  • @nonayabusiness6170
    @nonayabusiness61703 жыл бұрын

    Question: How do you get 15 ohms from 20||60? shouldn't it be a third? Edit: I just realized u were adding the resistance in fractions. 1/20 + 1/60 = 1/15 ohms nvm!

  • @princejames3932
    @princejames39323 жыл бұрын

    Sorry I don't quite understand why you used the value of current i1 to find the value of the voltage at i2...plz anyone with idea plz reply

  • @lilloud116
    @lilloud1166 жыл бұрын

    I don’t get how you got R2. Where did the 20||20 come from?

  • @Gataroes

    @Gataroes

    5 жыл бұрын

    The 60 ohm resistor is parallel with the 30 ohm resistor, so we get ((1/60)+(1/30))^-1 as the equation to get their equivalent resistor.

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    R2 became 20||20 because it was 60||30||20. 60||30 is (60*30)/(60+30)=20 so we now have 20||20.

  • @santosshresth4419
    @santosshresth44195 жыл бұрын

    i like this video

  • @kingalvi0076
    @kingalvi00765 жыл бұрын

    sir your lecture is very good & my question is in Video you want to find v (not) but while solving you wright v1

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    I apologize I did not always use the same notations in the smaller formulas on the bottom as the main formula on top. Hopefully people can see the strategy I was trying to use.

  • @SecureOpsWizard
    @SecureOpsWizard5 жыл бұрын

    I don't understand. R2 = 30 but why did you make it 15?

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    Hi. I combined the R2=30 with the 50+10 (far right) using the parallel resistor reduction technique. This gave me a new R2 which is 30||(50+10)=30||60=20. Now that I have 20 for my R2, I can use the current divider formula to find the current through the other resistor in the current divider.

  • @omartech974
    @omartech974 Жыл бұрын

    good

  • @101perspective
    @101perspective3 жыл бұрын

    I thought the formula was V1= (R2/(R1+R2))* Vs Also, what would the formula be if you know V1, Vs and R2 and are solving for R1? And for if you know V1, Vs and R1 and are solving for R2?

  • @101perspective

    @101perspective

    3 жыл бұрын

    Oh, think I figured out those formulas. R1=((v1/vs)*R2)-R2 R2=((v1/(v1-vs))*R1)-R1 That look about right? Math isn't my specialty...lol.

  • @aHydrasa
    @aHydrasa7 жыл бұрын

    When finding i2, why do you use the resistor R2 in the numerator instead of the 30 ohm resistor that we're finding the current in?

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    7 жыл бұрын

    Hi @RedneckDrillMan, great question. For the current divider equation, you use the opposite* parallel resistor in the numerator when finding the current for the branch you are interested in. I accidentally made the i2 in the original circuit the i1 in my current divider, but nonetheless, R2 becomes the opposite branch (15ohm) from the branch I am solving the current for (in our case the 30ohm branch). I hope this helps.

  • @aHydrasa

    @aHydrasa

    7 жыл бұрын

    EngineeringMadeSimple Awesome thank you, that helps a lot. The equation in my textbook did not make that clear and I kept getting the wrong answer.

  • @blackogre7719

    @blackogre7719

    7 ай бұрын

    @@aHydrasa Super late but you can actually use that formula in a purely parallel circuit, but the trick is, the resistors are in conductance or the reciprocal of the resistor wherein instead of R1 you use 1 / R1. So in formula it would be: ix = isource ( 1 / Rx ) / ( 1 / R1 + 1 / R2 + 1 / R3 + 1 / Rx + ... ) TL;DR. Use the same resistor as numerator to find the current across it but all of the resistors are in reciprocal.

  • @deepakdoer8507
    @deepakdoer85076 жыл бұрын

    In second problem how that v=20 instead of 60 as shown in diagram!

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    Hi. In Part2 we are reusing Vo from Part1, which we have found to be 20V. Since we know 20V is the voltage drop across the 40 ohm resistor, we can use V=IR to find the current in this part of the circuit.

  • @paulcoonce6630
    @paulcoonce66306 жыл бұрын

    All I need is for someone to correct me, i'm sure i'm just being dumb, but I LOVED the first part solving for Vo, but when you started solving for I2 that means the direction at which the current flows plays a factor in the equation. You have every thing set up as if the current were flowing positive-negative and i'm confused because I thought current flows negative to positive? what is going on, someone please help me lol

  • @missdraculaa

    @missdraculaa

    5 жыл бұрын

    as long as you're consistent it doesn't matter.

  • @kianbazad1186
    @kianbazad11865 ай бұрын

    What a g👏

  • @freak4165
    @freak41653 жыл бұрын

    Increase Sound volume plz

  • @fuorman4872
    @fuorman48725 жыл бұрын

    Dude !! i am lost from first 10 second 😢

  • @nonayabusiness6170

    @nonayabusiness6170

    3 жыл бұрын

    Wrong major and class sry to break it to you...

  • @anasishtiaque
    @anasishtiaque5 жыл бұрын

    what happens to the 70ohm?

  • @umangrathore6825

    @umangrathore6825

    5 жыл бұрын

    Exactly whydid the 70 ohm resistor was not used in calculating the i1 in the circuit.

  • @ath6632

    @ath6632

    Жыл бұрын

    @@umangrathore6825 i guess its a superfluous element(?) im confused too lmao

  • @isaacprosper6295
    @isaacprosper62955 жыл бұрын

    Dude no one gets how you got R2 and the 20//20 part

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    R2 became 20||20 because it was 60||30||20. 60||30 is (60*30)/(60+30)=20 so we now have 20||20.

  • @jaredhopper8429
    @jaredhopper84296 жыл бұрын

    the way you did the voltage divider didn't work for a test question I had

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    6 жыл бұрын

    Would you be able to share your test question? I would double check to make sure you collapsed all of the circuit resistors properly before applying the voltage divider equation.

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    6 жыл бұрын

    Also, I'd like to note that if you have any active elements in the circuit (capacitors or inductors) and not simply a resistor circuit, this method will not work

  • @kamysamaa
    @kamysamaa5 жыл бұрын

    Voltage divider formula is Vout =( R2 / (R1+R2))xVin ...why in your care is Vout =(R1/(R1+R2)) xVin?...this is confusing...did you made some different notations?

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    Hi. The voltage divider formula with R2 in the numerator will find the voltage drop across resistor R2. If you want to find the voltage drop across R1 instead (we call this Vo in the video), you simply put R1 in the numerator instead of R1 and you now have V1 (or Vo in the video).

  • @engineeringmadesimple8359

    @engineeringmadesimple8359

    5 жыл бұрын

    Since the resistors are in series you can switch positions between R1 and R2 and use the voltage divider equation for whichever resistor you need and apply the formula this way.

  • @jakenguyen8066

    @jakenguyen8066

    3 жыл бұрын

    @@engineeringmadesimple8359 so just to be clear, with voltage division, you put R for whichever voltage drop you are finding, but with current division, you do the opposite?

  • @na3ak4
    @na3ak45 жыл бұрын

    horrible, if ur solving for something with given labels (R1, R2) you need to mark that on ur diagram otherwise its confusing af like this vid was