Current Dividers Explained!
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- Опубликовано: 11 дек 2017
- This physics video tutorial provides a basic introduction into the current divider circuit. It explains how to calculate the current flowing through each resistor in a two resistor parallel circuit using a simple formula given the total current entering the circuit. It also includes examples with a parallel circuit with three resistors and one with four resistors in parallel. The voltage across each resistor in a parallel circuit is the same and the currents flowing through each branch must add to the current entering the circuit based on kirchoff's current law / junction rule. This video contains plenty of examples and practice problems for you to master this concept.
Schematic Diagrams & Symbols:
• Schematic Diagrams & S...
Resistors In Series:
• Resistors In Series - ...
Resistors In Parallel:
• Resistors In Parallel ...
Series and Parallel Circuits - Light Bulb Brightness:
• Series and Parallel Ci...
Equivalent Resistance of Complex Circuits:
• Equivalent Resistance ...
How To Solve DC Circuits:
• How To Solve Any Resis...
_________________________
Voltage Divider Circuit:
• Voltage Divider Circui...
Parallel Circuit Challenge Problem:
• Finding The Current In...
Kirchhoff's Current Law:
• Kirchhoff's Current La...
Kirchhoff's Voltage Law:
• Kirchhoff's Voltage La...
DC Circuits Review:
• Series and Parallel Ci...
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KCL and KVL Circuit Analysis:
• Kirchhoff's Law, Junct...
Thevenin's Theorem - Circuit Analysis:
• Thevenin's Theorem - C...
Norton's Theorem - Circuit Analysis:
• Norton's Theorem and T...
Superposition Theorem:
• Superposition Theorem
Maximum Power Transfer:
• Maximum Power Transfer...
Physics PDF Worksheets:
www.video-tutor.net/physics-b...
Final Exams and Video Playlists: www.video-tutor.net/
Been using his videos for all my uni classes and honestly what an absolute genius. It really takes a lot of skill explain EVERYTHING so clearly and concisely. Absolutely impressed.
How Current Divider Formula is derived:
In parallel, the voltage across the two resistors is the same. Thus, V1 = V2.
And we know V1 = I1 * R1 & V2 = I2 * R2. Thus, I1 * R1 = I2 * R2.
Also, Sum of I (in) = Sum of I(out) as in Kirchhoff's Current Law, thus, I (total) = I1 +I2.
We know have two simultaneous equations:
I1 * R1 = I2 * R2 .................... (i)
I(total) = I1 + I2 ..................... (ii)
If you sustitute I1, you get the formula to find I2:
I2 = I(total) [(R1)/(R1 +R2)]
If you sustitute I2, you get the formula to find I1:
I1 = I(total) [(R2)/(R1 +R2)]
Hope this helps!
Thanks
Who asked for it
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The most comprehensive CDR tutorial video yet! You generally explained at every inch and all of the plausible techniques we can use other than merely CDR!
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This is probably the best hands-on explanation I've seen.
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This is probably the best hands-on explanation I've seen.
Fact
Facts
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It is so simple when it is explained masterly by you! Thanks!
Such a wonderful way of presenting this. Great job!
La mejor expresión que he podido encontrar y la más fácil, gracias hermano eres un verdadero profesional tus explicaciones son verdaderamente entendibles.....Felicidades....
Duuude, thank you so much
My teacher literally gave me the wrong formula for this, i knew that something was wrong because the value for each individual resistor didn't add up, but I didn't know why.
You just saved me
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The thumbnail video alone made more sense than what my professor tried teaching in half an hour. Thank you! It's clear now.
but the thumbnail is wrong though
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Thanks for the (1/r1) / ((1/r1) + (1/r2) + (1/r3)) form. That seems to me the most self-explaining form of the relationship.
I cannot begin to tell you useful this tutorial is. My McGraw hill textbook is so confusing😅
For anyone wondering an easy formula that works to find the current at any point in a parallel resistor circuit is:
I(n) = I(T) * [ R(eq) / R(n) ]
Where I(n) is the current through the resistor n
I(T) is the total current before the parallel split
R(eq) is the equivalent resistance of all in parallel which is just 1/R(eq) = 1/R(1) + 1/R(2) + 1/R(3) ...
R(n) is then the resistor you want to find the current I(n) flowing through.
This works for 2,3,4,...,∞ parallel resistor circuits.
Neat and clean. Thanks
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Hey man, something i noticed with this video that messed me up for a while is that the equation in the thumbnail is actually wrong and is inconsistent with what you say and show in the actual video. In the thumbnail you write “I1= R1/(R1+R2) *Is” meanwhile the actual equation should have R2 in the numerator instead of R1 when solving for the current I1 at R1. Other than that typo, great video
I searched up the rule on Google while doing my hw and used this thumbnail because OCT has lots of credibility with me, it really messed me up for a while 😅
@@ceeb830 glad i'm not the only one who did that lol
Hes correct but it only applies to 2 resistors. The one with the improper fractions is more universal
Short and sweet❤
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Amazing , but i hope you explain thevenin's theory
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A much easier way to do this is by finding the total resistance, then find the voltage accross the parrellel resistors, and then just use I=V/R to find the currents
So does the current automatically divide itself in the correct way to be available to loads with different resistances?
kindly explain how are we supposed to know which formula should be used as there r 2 diff formulas
Nice lcm trick
How can I resolve a problem with bridge circuit using this method, and the voltage divider method. I want to calculate the Vx and Ix
Thanks
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Thankyou
Thank you so much, but were would you connect the load
We assume it's connected to both ends. It doesn't have to be drawn everytime.
So whats the general formula?
There’s a mistake in the thumbnail for the equation containing 2 resistors! Should be I1 = I(R2/(R1+R2))
Why you put r2 in the first situation instead of which it need I1 and in the second situation you put r2 when he asks you for I2
why do you have different formula for different circuits? arent they both parallels? can you apply the second formula to the first circuit?
Yes,you can apply.
@@aybuke2534 how
Pls derive the current devider rule and to make this video different
What a god!
your thumbnail is incorrect, at least for the two resistors in parallel
made you click thou?
Please what if you have résistance in both parallel n circuit
why did he use 1/R1 in the second example instead of R1 alone?
That's a special case for only two resistors
I will graduate because of this.
What about when we have some in parallel and some in series
How come I see people say the equation is total current*(total resistance/resistor x)? Here you have total current*(resistor x/total resistance.
the first formula I*Rt/Rx is for conductance, here he is doing the inverse of resistance which is the same as the I*Rt/Rx. He just did it as I*(Rx)^-1/(Rt)^-1.
There is a mistake on the thumbnail for the two resistor equation. It should be R2 in the numerator.
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Topics which you study in university we study it in 11th grade in India
For the first example, how is there more current flowing in the lower resistance. Doesn't current flow through the path of least resistance?
you answered your own question. lower resistance is least resistance