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Question 9 No velans Vnd pcints 0rtony~1 Flog qucstion The diagram shows three equally spaced wires that are perpendicular to the page. The currents are all equal, ...

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Question 9 No velans Vnd pcints 0rtony~1 Flog qucstion The diagram shows three equally spaced wires that are perpendicular to the page. The currents are all equal, two being out ofthe page and one being into the page. What is the direction of the net magnetic force on wire 3 due to wires 1 and 2?Select one:Next pagelime left 1.13.44

Question 9 No velans Vnd pcints 0rtony~1 Flog qucstion The diagram shows three equally spaced wires that are perpendicular to the page. The currents are all equal, two being out ofthe page and one being into the page. What is the direction of the net magnetic force on wire 3 due to wires 1 and 2? Select one: Next page lime left 1.13.44



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The three wires shown in FIGURE $22-53$ are long and straight, and they each carry a current of the same magnitude, I. The currents in wires 1 and 3 are out of the page; the current in wire 2 is into the page. What is the direction of the magnetic force experienced by wire 3$?$

So in this ruling we have a square on into square. At each corner of the square we have a wire carrying a current on offer wires character and with the Saxon might do high on wires. One country secure any point out of the bait. Meanwhile, for wire, four is going into the base. Were asked, What is the erection of the force on wire to so first this consider bars wanted to so things wires wanted to carry current in the same direction they attracted Shutter before before they wanted to do with something like this. I think likewise for treatment to get thick artist in current will be attracted. So for and all these forces happen, say minded to heart since four. Carry score in the opposite direction off far too. There will be a repulsive for look, we'll be finding out this way. Running cycling direction opposite. Going away from where? Four. Well, now, to find out the direction forcing wire only two Duce. Okay, consider that the Southeast defectors points exactly. Obviously to do is repulsive force you can easily see that night You remember geometric Patterson. Then they would have that piece to some peace factor. It's points opposite to 44 34. And for the management of the southeast to it's gonna be a square root two times bigger than the magnitude of the repulsive force. Therefore, the Receivable Force is gonna be pointing warrants. There were small force going towards Warren number four Planalytics access notice. Diagonal axes doing to a four.

Hi in the human problem, the four parallel current carrying conductors are arranged such that the form are square means they are kept at the vortices of this is Squire, which is having aside a and these conductors, this is the conductor number four, which is carrying a current coming out of the plane of paper. This is conductor one which is also carrying the current coming out of the plane of paper. This is conductor number two, which is carrying a current getting into the plane of paper and finally, conductor number three. That is also carrying the current started into the plane of paper. Here, this is xx is and this is Y axis. So side of the square has given us or 18.5 centimetre, which can also be written as 0.135 need to. And the current carried by each conductor is same and that is having a magnitude of 7.50 And here. Now in this problem, we have to find net force experienced by this conductor for per unit of its land in unit. That notation. First of all this conductor for scanning the current in the same direction as in conductor number one. So it will be attracted by the conductor. One means the force acting on fall due to one is attractive in nature. So this is you will need it f at four due to one, but at the same time this four will be repealed by conductor three as the currents are in opposite direction and the force will be having same magnitude but a different direction. And it will be named as effort four due to three. No, if we mark its diagonal, also diagonal of the square between it's worth. This is two and four. To really be given ass the expression for diagonally Sayroo too, means here it will become 0.135 into rule two m. And as again the conductor for and conductor to are carrying currency in opposite direction. So the four conductor number four will be repelled by this conductor to also. So the force will be things like this. And this is named as Yeah at 4 to 2. And here this angle will be 45 degrees. So this effort to maybe resolved into two components. Yeah, this will be a 42 cause 45 degree. And here this will be a long negative by excess. This will be F. Or two. Sign 45 degrees. No to find total force experienced by this conductor. For first of all, we will find their different forces F 41 F 43 and F four to. So first of all we find F. For one. It is found using the expression new note upon four pi into two. I wanted to hear. Ivan means I fought current carried by conductor for Ivan. Current carried by conductor, one divided by our Mr gap between them. And that forces were unit length means newton for nita. So plugging in all known values here, this is standard for minus seven into two into my phone. And all the currents are same. So eye for an eye one will also be same. So this is 7.50 multiplied by 7.50 divided by our There are means eight. The gap between them and that is 0.135 m. And it will come out to be equal to 8.3 into 10 par minus five newton perimeter. Similarly, the force F at four due to three, that will also be having same magnitude. And it will be given as F 43 8.3 into 10 days for minus five newtons per meter as well. Now, F or two using the same expression you're not upon four by means standards for minus seven into Ivan into I two. Both 7.50 ampere invited by the gap between them which is diagonal. This time the inside room two mu 0.135 into route to. And this value comes out to be 5.9 into tendons, par minus five newtons per meter. So finally, net force along X axis will be given by if you look here along X axis along negative X axis, there are the two forces. So the net force will be F at four due to three plus the component of mm at four due to the horizontal component means F four to close 45 degree. So, plugging in all the known values here for F 43 This is 8.3 into 10 for minus five for effort. This is 5.9 into and each one minus five in two room two into one point of the value. Of course 45 degree. So finally it will come out to be the net force along X axis. And this is a long negative X axis. So in unit vector notation it will be minus 12.5 into tended to the power minus five. I kept newton four m. Similarly, F. Y. And that is equal to if you look at the figure again for Fy, this will be F 41 minus F four to sign 45 degrees. So here it will be F at four due to one minus vertical component of after it for you to it will be effort to sign or 85 degree. So, plugging in unknown values here also. This is 8.3 in 2, 10 inch par minus five and that was newton meter. Yes, of course, this is a 13 to 10. H one minus five newtons per meter minus 5.9 in 2 10 for minus five into sign 45 degree, which is one by two. So will come out to be 4.1 into and it's the power minus five newtons per meter. Or invent reform. It will be as it is a long positive Y axis, so it will be represented as 4.1 in 2, 10 for minus five Jacob. Newton per meter. So finally net force may be written has minus 125 multiplied by one more zero hair. Then it will become 10 days par minus six I kept plus here also, this is what even into standish par minus six Jacob and overall measured in newtons per meter. So finally we can write it like minus 125 I kept last 41 Jacob, and that is micro newton for meter 4, 10 1 minus six. This is the answer for this given problem here. Thank you.

Here we are going to find an unknown current in a long straight wire Such that the magnetic field combined from two wires at point P. Which I show off to the side That the B total is equal to zero. So there are a couple of things that we're going to need. The main formula that we need is from NPR's Law for a straight wire, a long straight wire. And that gives the magnetic field of a long straight wire as being proportional to the current in magnitude divided by two pi. And the distance between the point of observation and the wire we'll call that are because you're going radial e out from the wire. Um The other thing we need is superposition. So in order to figure out the total magnetic field for multiple sources, you just add up individual magnetic fields as factors. And so we're going to have to go through and figure out the direction of why are ones magnetic field. And then we can deduce, but The wire number two must be doing in terms of its direction. Um And for that we'll need the right hand rule for directions. There isn't just one single right and roll. But usually what I do with the right hand rule is I point my thumb in the direction of the magnetic field. On my right hand. Here I would point it into the screen or the paper. And then I look at which way my fingers would naturally curl in order to get my thumb in the right direction. Um And what I see is that the I. One magnetic field will circulate in a clockwise sense around wire one and here what we want to do is focus on the magnetic field on the side of the wire. Oh that's closest to point P. So what I would draw a point peace I would show B. one pointing straight down in the negative Y. Direction. If I want to think about the directions. And that tells us that magnetic field due to wire number two must point upwards with an equal amount. And that is what we are balancing. And of course in order to get B. 2 to circulate upwards. So it has to be up again. I can check both orientations on my hand but I can see that the circulation is counterclockwise. So that tells me that I too must be coming out of the page. Okay so we've got them canceling. So be total is equal to zero means the magnitude be one has to equal The magnitude of b. two. Um And opposite. And we already see how to get them on opposite. Make the currents a point in opposite directions. Um And now we can use piers law. So be one is um you know it I won yeah. There's a lot of constance That aren't going to matter and the distance is the sum of distance one plus what I call distance to. And that has to equal you not I too over two pi distance to and I called distance to and a lot of things cancel. We don't have to worry about that permeability of free space. Nor do we have to worry about pie. Okay. And so this gives at we just take I won and multiply it by a couple distances ratio. We will figure out the magnitude of I two. Yeah. And I'll go ahead and put the distances in centimeters because the units will cancel and give us eps. Um So it's a little bit less than the current and I won four point 33 yep. Clean that up. Yeah.

Over here we have we have a while too well which is like there are two Y. Right? And one age inside the plane one we don't put the extra money. So they are like this one like uh like this is inside the plane. And and for the other one we don't know whether we worry the drugs. Okay. In the second case the distance between these two are You know, point of 7:5 cm I guess. Yeah. And the point we eat just below. And and one point perhaps something that well. Okay so let's say this is point B. In which at 1.5 centimeter below. So what will be the main to the direction of this? Discourage? So this one if the majority field at this point Keiichiro. And what won't we have even that Uh current in the month? And the first one that age 6.5 years. This one is 6.5 in parent incentive plane. And what moment? What more? Yeah it is substance basically. Part of the mental interactions are very simple for the direction we can just uh normal. That's why if this is in the inside the pill, let's say inside the plane. Then the man to feel due to these two, where will be in in the in this side there is left side, so the minute it will not be canceled altogether. That is not with zero at this point my name. So the current must be out of the plane in the second world. So that the very differently to second one will be right word and that is passed, one will be in the left eye can see, so for the direction it will be out of the plane Like like this one. And if for the magnitude we know that now this will be equal enough for Mandi field. So that means you know what? I won, I only 6.5 upon to five days to buy into this giant stage 1.5% .2.25. And send him the developments to ultimately really cancel out as well. So I mean are equal to men or of itunes Upon to pry into the 1.5 sitting between the minister this understanding cancel or you know, you get canceled out to buy and to cancel out. So I do. That comes out of the 6.5 upon Into 1.51, 2.25. So I do consulting before 1, 3 and five. So the parents in the second wave that comes out to be, I do 4.3 and beer and in the other direction.


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