Okay. So since we need to know the current through East Resister in this figure, we can see that Ah, each resistance has value off three point two five kilograms and the voltage of the barriers to airports. Now, to get the current, we first need to find the total current that's passing through the circuit. Because if we look at this resistance that this is in serious connection with this guy, so that means And since this is directly connected to the battery, that means the whole current is passing through our sick. So that means we need to know the full current and to do so, we can actually simplified the circuit.
And as you can see, I've simplified the circuit till this and and, ah, let me explain what I did here. So, first of all, as you can see between A and B ah are one and arteries in serious connections. So I replaced our wanna now to buy our one two and then ah, the rest of the circuit is the same. But then, between point A and B are one to an artery, are in peril connection. So I replaced them with this and are one, two, three.
So this is the circuit news target. And then, as we can see that between point A and C are one two, three and our four is in serious connection So we replaced these two guys by this equivalents are good. Witches are one, two, three, four and then we have battle connection of are one, two, three, four with our fight and really place that by are one, two, three, four, five and then this resistor is in serious connection with our six or replace them by, aren't you? Now we can actually find out all the values for these resistors, so let's get on to it. So first we need to find our one two. So that's going to be are one to which is equal to our one, does arto.
And since they're all, they all have the same resistance. So that's going to be our plus our, which is two times are then for our one, two, three. This is going to be since it's a parable connection between our one two and our tree, it's going to be this. And then we'LL have one over r one too, plus one over our three reciprocal. And if we plug in the expression for those, we get to over three r, say that should try doing it.
Where? Yourself So that you get some practice. Uh, okay, moving on. So now we have a serious connection. So beans are one two, three four is going to be two three. Four is going to be are one, two, three plus our four on DH, which is nothing but five over three are.
Then we have a panel connections. So are one, two, three, four five. That's gonna be one over R one, two, three, four plus one over r five. Reciprocal on that gives us five over eight are right and finally are equivalent Cool. And that's going to be a serious connection.
Between are one two, three, four five on our six on DH. That's gonna be left to write that down. One, two, three, four, five, six plus R. It's going to be one, two, three, four bye on our six. And that he's gonna be thirteen over eight are right.
So now we know we simplified the loop. Now we can go backwards and because we need to go backwards to get the current because so that sorry given resistance. And we know the toll bolted. So, you know, using home so we can get the given current s. So that's gonna be I eat you, which is equal to the voters of the battery over the equivalent resistance.
And we plug in the values here. Our let's just plug in this guy over here and we get eight of Salon over thirteen are. And this guy right here is same for our six and are one, two, three, four, five. Because, as we saw that this is a serious connections. So the current passing tow this circuit and this argued with the same.
So this guy's equal toe are Isaac's. It is equal to ay one, two, three, four, five. Right, um and then look at the circuit diagram again. We see that the five. So the five is the voltage difference between A and C on DH.
So this guy is equal to B one, two, three, four because it's a serious connection. And that's equal toe be one, two, three, four, five Because again, this whole day is the circuit. So let me like that down. So it's going to be the five. This is equal to the one two three four, which is the one, two, three, four five.
And according to our own slow, it's going to be one, two, three, four. Five times are one, two, three, four, five on If you replace, the values will get Katie. It's Ellen. Thirteen for our might be applied by five over eight are. So this guy right here is our one, two, three, four, five.
And who is this Great? Um, and I five. So I five is going to be V five over our life. Andi, that's going to be five by thirteen Absalon over r What is by Absalon over thirteen are on DH. Yeah, that's that's r I fight and I want two three, four one, two, three, four is so I want to be poor is the one that's passing through this guy. So that's going to be voltage V five or three.
One, two, three, four They're they're the same. So v one, two, three, four divided by I want to report and that should give us five over thirteen. Um, Absalon, divided by five by three are on. That gives us three Absalon by thirteen Are it is I for because again this one is a serious connection. Between are one, two, three and our four So I four should be the same as I wanted to port.
Okay, Right on off course that's going to be I want to three as well right now we will see this relation. The one two three which is equal to I want to three times are one, two, three. So if we go back to the diagram, it's basically this far so we can again blood in the numbers That's going to be three. It's salon over thirteen are or I want to tree and are one two, three wass to over three are so that should give us two over thirteen Absalon which is be one too. What is it? Three.
So we want to three against three. One two three is a serious connection artery and our one toe. So that means the voltage between this and that would be the same. Great. So now from there we can figure out a tree which is passing to our three or here passing to artery.
So I three is going to be three over our three and that's going to be too upset on over. Thirteen are great and I want to is going to be if you want to. Over are one, too. And that's going to give us two way thirteen Absalon divided by to our, which a simplified as Absalon over thirteen r and disguise is basically I won and I too, because I want to is a serious connection. Um, between our one and our tow, that means the current is the same.
So that's why I won is equal to ay to. So now we know all the currents we can actually plugging all the numbers and I'm going to give you the value so you can actually plug in the numbers. We know that Absalon, in our case, is twelve volt, so we can plug that and are in our case. It's three point two five poems. So are you gonna be three point two five loans? Yeah, Sophie, plugging all the numbers will get the falling values.
I want Quinn's too cheese. Zero point two eight four millions. I three is going to be zero point five six eight millions I for it's been hard to hear I fore it's going to be zero point eight five two millions. I fi is gonna be one point for two millions. And finally I six, he's going to be two point two seven Williams and right, And okay, so we need to find the potential difference between point A and point B.
So putting their difference difference within this and that. So we're going to use, Let's see, it's going to be three. So we're going to be using this guy, right? So we're going to be used in there trying to find this guy, so is too over thirteen. Excellent. So the A B is to over thirteen, um, at a salon, and that should give us one point five quotes.
So, yeah, it's better to derive this, So that gets clear. It's a very simple problem if we actually, um, simplified the circuit. Thank you..