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Physics 15 Online
OpenStudy (idkwut):

Another Circuit problem. (See attachment)

OpenStudy (idkwut):

For some reason, I keep crashing every time I come onto this site. -_-

OpenStudy (idkwut):

Okay, I have absolutely no idea how to figure this out because my teacher didn't teach it to us (that is "power dissipation" or whatever). Upon internet research, I found that P = RI^2. Not sure? @theEric

OpenStudy (theeric):

I'm going to look at the problem in a moment, but \(P=VI=I^2R=\dfrac {V^2}{R}\)

OpenStudy (theeric):

So, which formula do you think would be most appropriate?

OpenStudy (theeric):

Easiest, I mean.

OpenStudy (idkwut):

Well, we already have voltage and resistance, right?

OpenStudy (theeric):

I think that one will be easiest, too! So, you will use \(P=\dfrac{V^2}R\).

OpenStudy (theeric):

So, do you have a plan of action on finding the voltage across \(R\)? It's always good to start with a plan of action.

OpenStudy (idkwut):

Well.. I thought we would just plug in the values for v and r (or 18 and 15), but I don't think that's how it goes either.

OpenStudy (idkwut):

We start by finding the total resistance?

OpenStudy (theeric):

And the formula is the voltage across and resistance of the resistor in question. That's a start! Now, is \(15\rm\ V\) the voltage across that resistor? That's a good start, too, finding the total resistance.

OpenStudy (theeric):

I will give you a hint, because I'm not sure if you've seen this or not. The voltage across \(R_3\) is the voltage across that parallel pair, there.

OpenStudy (idkwut):

So would it be a lot like the other problem we did? 1/(13 + 18) ?

OpenStudy (idkwut):

Resistance of the two parallel resistors would be .13? Sorry if it's not right lol, I am terrible at physics.

OpenStudy (theeric):

Haha, the circuits involve a lot of memorization. Organizing it would help. I want to go into electronics, but it took me a while to get the basics sorted out. I still won't know a lot until I take more classes. Do you know how to find the "equivalence resistance" of a bunch of parallel resistors?

OpenStudy (theeric):

Your formula is close!

OpenStudy (idkwut):

Okay, I am going to attempt to tell you how I got the answer lol. I got 2. Give me one second to type everything out.

OpenStudy (theeric):

\(\Large\dfrac1{\frac1{13}+\frac1{18}}\)

OpenStudy (idkwut):

Dang, right when I typed everything out I accidentally clicked on something. Fudge! Lol. 1/(1/13 + 1/18) = 7.55 7.55 + 8.5 + 3.2 = 19.25 15/19.25 = 0.78 7.55 * 0.78 = 5.88 5.88^2 = 34.57 34.57/18 = 1.9 or 2 W

OpenStudy (theeric):

I would go with \(1.9\rm\ W\)! I agree! :)

OpenStudy (idkwut):

Thank you!! I think the thing that threw me off the most was 1 / (1/13) + 1/18). I didn't use 1 as the numerator in the other problem as well, which was why my answer was way off. But I appreciate your help! :D

OpenStudy (theeric):

Okay! You're welcome! :)

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