Solving Circuits Using Voltage & Current Dividers

good

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

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

why you calculate i1 instead of i2.

Thanks from Germany. It helped a lot!

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 <--- This is current across 20R or i1 (First Resistor)
* Remember, the opposite resistor is applied in the numerator *

Now we can re-draw the circuit utilizing new Current Source starting at node 2:

0.25 (Is) --> 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 :-)

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

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?

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!

Thank you!

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

Good job

Increase Sound volume plz

Really useful. Thank you sir ❤️

Hey thx youuuuuuu

What software you are using

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??

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

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?

Dude !!
i am lost from first 10 second 😢

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

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

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

great vid, thank you

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

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

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

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

i like this video

What happened to 70 ohm resistor???

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

what happens to the 70ohm?

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?

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

Simply amazing!

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

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

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

Thats sick dude nice

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

Thanks... Good tutorial

thaanks ♥

great video, thank you!

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?

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.