Solve for the variable R2 - Physics Formulas

[@MathQueenSusanne]

Hey math friends! If you’re enjoying this video, could you double-check that you’ve liked it and subscribed to the channel? It’s a simple equation: your support + my passion = more great content! Thanks for helping me keep this going - you’re the best!

[@philpeko1796]

🎤🎤🎤🎤🎤I have to be honest, I listen to your video as ASMR-Maths, and then I try to solve your quizz. Your elocution and voice are so smooth, so nice, even your smile is perceptible. Congrats, and many thanks Susann_e_ (by the way you pronounce your first name "Susann_a_", which one is it?)

[@cherryjuice9946]

Your thumbnails are great. From the picture you display, we know what the question is, and we can attempt to solve it before watching the video. I dug into this one, and after 10 seconds, I hit a dead end. I was too fast to give up. The solution was obvious, after 2 minutes into the video. I should have seen that. Thanks.

[@denconstutube]

You are a real pro. So easy and yet so important to understand the way to manage equations. Excellent job. I appreciate you so much.

[@MathQueenSusanne]

Glad it was helpful!

[@NR23derek]

Just to say I'm really enjoying these vids. My maths is very rusty - over 50 years ago since I did A levels, but it's all in there somewhere and every time you solve something I think oh yeah, of course...

[@JohnSmith-ei2pm]

Wonderfully well presented and explained. I think your top looks lovely, and I cannot believe I am the only one, so far, to be bold enough to comment.

[@dinnybam2057]

You are such a thorough and intelligent teacher! Oh and you are so beautiful as well 😌

[@MathQueenSusanne]

Oh thank you!

[@davidbrown8763]

Thanks for the challenge. Nailed it!

[@krwada]

I have seen this equation so many times in Electrical Engineering and also, control theory, and also heat transfer ... Sheesh! this thing comes up all the time!

[@mechaileh1]

The most beautiful math teacher in the entire universe.

[@joseeoliviero6078]

Nice. I would like to see more formula manipulation videos like that.

[@jeff-1weere]

Susanne is a polymath. This is true of very few people.

[@protox07]

Have a happy new year Math Queen

[@blitzblutz]

I never really understood this until now, Thank you!

[@MathQueenSusanne]

Glad to hear that!

[@b213videoz]

I was having dreams (or rather nightmares) that I was forced to go back to school (grade 10) to study algebra... that was going on for at least a decade, then a year and a half ago as a joke I started watching videos like this and this is what happened: 1) no more nightmares of going back to school 2) I was able to solve this problem right away 3) the problems which I still cannot solve I usually (finally) understand them when they are explained 😊 4) on some occasions I even manage to solve some Olympiad problems ...and they say YоиТu6e is for іdіотs, if only I had it back then I would have been the best in my class 😂

[@dalenassar9152]

NICE!! Wow, this is the formula for a resistive voltage divider in electronics.....just wondering where you found it... THANKS FOR ALL YOUR GREAT VIDEOS!! SUB & TU

[@captainjimolchs]

Any basic high school electricity or physics text will do.

[@cameronrabelink6846]

It 's so simple and yet so beautiful...

[@DixieGeezer]

Looking good,..Thx.

[@djparn007]

Thank you, Susanne. ❤❤❤

[@TheTor_Detours]

I have been highly enjoying your videos, @MathQueenSusanne ! I was wondering if you could share which app you are using for your annotations? Do you use a stylus or mouse?

[@philabu7376]

I was wondering the same.. but the way you see her arm move she definitely isn't using a mouse.. maybe something as straightforward as an iPad with a touch pen.. 🤷‍♀

[@HerrFinsternis]

Using the formula at 1:10, wouldn't it be a more complete answer to also note that when U0 and U2 are equal, R1 must be 0 and R2 cannot be determined? Or is that inherent to the answer you gave? I never really thought about it like this.

[@mathslove51]

Would be useful to see a real life application of this formula and other maths formulas you use to make the maths real and not just maths for maths sake. That would show the power of maths in our world. I know this voltage divider formula is applied to electrical engineering and circuit analysis. The parallel resistance formula is another example.

[@DrMackSplackem]

I'm sure there's a Physics Queen out here somewhere.

[@oladeleenoch]

can u pls post questions and solutions on linear algebra

[@utedalheimer1742]

Dankeschön ❤❤

[@abdulhameedalabbasi]

thane you very much

[@bunpeishiratori5849]

You are marvelous.

[@finlandtaipan4454]

Nice solve but what would happen if R2 ends up being equal to -R1? Is that possible for some values of R1, U0 and U2? Then the original equation would have a division by zero.

[@captainjimolchs]

When R2 = R1, U0 = 2U2.

[@roland3et]

@finlandtaipan... Mathematically yes, "physically" not. As long as pure math is considered, U.. and R.. are just placeholders for any number you can think of, so R1=-R2 must be excluded to avoid dividing by zero. But the original equation obviously comes from electrical engineering (Ohmic voltage divider), and therefore R1+R2 never equals zero, and in case of U2=U0 the equation just ends up as 1=1 😉. 🙂👻

[@Skank_and_Gutterboy]

Nice!

[@davepowder4020]

I see we've found U2, and also U-zero, the 2x predecessor band to U2. And we still haven't found, what we're looking for!

[@MathQueenSusanne]

😆

[@philabu7376]

You sir, are a champion of the people and a scholar!!

[@davepowder4020]

@@philabu7376 And I didn't even have to live on a street with no name.

[@StuartSimon]

Where's U1?

[@roland3et]

Here: U1 = U0×R1/(R1+R2) (Ohmic voltage divider) 🙂👻

[@chamindasilva5917]

Mathematics is so easy when you find an angel whose eyebrows:thin,dark,shaped and trimmed.

[@acaryadasa]

Another way to think about step 1: Instead of multiplying both sides by the denominator, you achieve the same results by cross multiplying. It is really the same process, and the same results, but that's how my brain thought of it first.

[@odalesaylor]

You mention Physics Formulas, but as a former physics teacher, I would like to know the origin of the formula. Is it about resistances? If so, do the U's represent current?

[@davidemaddalena1344]

Ciao, usually U represents the voltage and more particulare in a former european convention (I think). Therefore that is the voltage divider formula solved for the lower resistor (R2) voltage (U2).

[@roland3et]

Learning you've been a physics teacher, your statement hurts. 🙂👻

[@captainjimolchs]

It can be used for current, or water flow through pipes, or air flow through ducts.

[@philabu7376]

The origin are Ohm's and Kirchhoff's law.. and the Us are voltages.. pretty weird that you don't know that a physics teacher imho

[@cyruschang1904]

U2 (R1 + R2) = U0 (R2) R2 = U2(R1) / (U0 - U2)

[@축복이-x6u]

asnwer=u2 12 isit

[@84com83]

Didn´t understand why KZbin wasn´t mentioned? (not even Johan?)

[@richardashton7406]

Simple algebraic solution; got to say, the steps taken to get to the answer seemed drawn out more than really required.

[@b213videoz]

I can't believe I solved it... I just did and within 5 mins, at school I would have had a heart attack and I would have wasted an hour at least

[@richardmullins44]

U2 R1 + U2 R2 = U0 R2 R2 (U0 - U2) = U2 R1 R2 = (U2 R1) / (U0 - R2)

[@FrankAnzalone]

First equation second page divide by u0 would not work

[@CanerDeniz1]

[@yassertariqvideo]

... All in all, basic algebra.

[@kybalion1367]

R2-D2 = 🤖 This is not the answer you are looking for.

[@RJSRdg]

You've found R2, but where's D2? ;-)

[@MathQueenSusanne]

😂 These are not the symbols you are looking for!

[@richardashton7406]

I wonder if our math whizz gets it???

[@emi62507]

Star Wars reference. R2D2

[@HerrFinsternis]

😂 having a fieldtrip with Bono

[@scopeseye]

Viewer. Turn your playback speed to 1.5. You're welcome.

[@pemilist]

In einer Reihenschaltung ist die Stromstärke also überall gleich... Bzw. stehen Spannungsabfall und Widerstand im immer gleichen Verhältnis. Die Scheuklappenmathematiker sehen doch gar nicht, dass sie gerade mit etwas sehr sinnvollem hantieren.😅

[@DonSolaris]

Sorry, but that outfit is just perfect! :D

[@thynedewaal1823]

Hi

[@ClaytonwFirth]

Nice. Now we know where R2 is, but where is C3P0? Sorry, I’ll let myself out.

[@HenriLaporte-kv6qq]

In physics, R1 and R2 are > 0. So R2/(R1+R2) < 1 So ABS(U2) < ABS(U0) . So U0 - U2 can't be 0.

[@finlandtaipan4454]

Good! With the additional assumption that both Rs are positive (some sort of radii, presumably), then the divide-by-zero problems go away.

[@HenriLaporte-kv6qq]

@@finlandtaipan4454 Or electric resistances. even if it's difficult to see which circuit this formula can represent.

[@gbenother8755]

U2 should be D2, then you can solve for R2D2. lol. Cheers!

[@GodSlayerIblis]

Great math video but please do something about your face. Like fix it or hide it. Doesn't seem fixable though.

[@m.h.6470]

Solution: ₀₁₂ U₂ = (U₀ * R₂) / (R₁ + R₂) |*(R₁ + R₂) → assuming the term is ≠ 0, which has to be the case anyway, due to the fraction U₂ * (R₁ + R₂) = U₀ * R₂ U₂ * R₁ + U₂ * R₂ = U₀ * R₂ |-(U₂ * R₁) -(U₀ * R₂) U₂ * R₂ - U₀ * R₂ = -(U₂ * R₁) R₂(U₂ - U₀) = -R₁U₂ |/(U₂ - U₀) → assuming U₀ ≠ U₂ R₂ = -R₁U₂/(U₂ - U₀) R₂ = R₁U₂/(U₀ - U₂)

[@gazx5244]

You might be ok at maths but your English is terrible and yes maths or mathematics is plural only you should be able to work out why it’s quite obvious

[@DonShoemaker-b6o]

I think she speaks English very well, excellent. She speaks it so well that it sounds like she's from the USA but she's from Germany I think and of course speaks German fluently.

[@gazx5244]

@ sounding like an American is nothing to be proud of they are ruining the English language if you’re learning English don’t do it from an American I’m sick of my daughter being corrected by her English teacher for using Americanisms they are illiterate dumb idiots

[@captainjimolchs]

"Plural" is in the British dialect, as is "corporation." Other parts of the world are different. --The rest of us know what she means.

[@gazx5244]

@ English is English despite what dumb illiterate disrespectful rude and ignorant Americans say and if some of the world wants to copy them you are just as dumb this is what happens when you don’t pay attention at school and just have a KZbin education I’m fucking sick of my daughters English teacher correcting her for using Americanisms which see picks up from the internet