You know that the magnetic force is given by I times a lacrosse being. But that's the case where the magnetic really is. Uniforms far. A case of magnetic field there is with the land. The change in force can entertain us. I times the magnetic fields. And this is the question that we are going to use on. We're going to apply this equation to eat side off the loop now for each side off the loop. The end is parallel to that side. Off the look on, if that isn't the direction off, right, since the loop is in the excellent plan, So Z zeros at the look on dh B y is zero because, uh, be light is basically we just plug is equal to zero in this equation. Then the director will be quarto. You see the light over end Thanks, Ski cap. Because this just God's Edo here. Now you're going to apply this on DH into this equation on DH. We're going tto do the first part now. So for the first part, the magnetic field lines in the plane Ah, to be sketched, son, it's true that so let's see. This is the X and this is the lie exits. As magnetic field is along, the positive key access on it varies with white. So there is no need for the X axis to be here. So you're gonna use why end, See, Axis? Because those are the only components contributing to the magnetic field Here Z is the direction on why he is a distance with which the magnitude ofthe magnetically changes on. You. See, that, uh, the magnet treated b is that is linear. Live it white. That means this is going to be like this. I'd for why? For the audition. Now, if the light changes, this is how it's going to look. Yeah, so that this part e now 45 we have to find the force. So let's find it for side one. Let's mark the site first. So this is side one. Elder's Phil. Let's call this toe beside mine this toe beside toe. This will be side three on DH. This to beside for and for side one. It's called a force to be F one. So this is given by this equation over here so messily integral over this equation. I Times deal Times B signed Fly and the integral with that. But sci fi is basically one because FIEs 90 degree as the magnetic field is hoping to go large. No, the segment here, basically magnetic field is perpendicular to the plane. Off the whole, it's a stone. So for every so far, every, um, case this was is going to Brazil. Sorry, this angle is going to be 90 victory. This gives So Isaac Constance So it comes out on. We know there's a constant Eliza. Lt's a constant. So they come out a cell on we have. Why on the l is basically the change in lentil on this directions or deal is going to be called to the why? Because this segment is along the lie Exes on the integration goes from single toe on my right and rule. So let's do that letter was Let's find the force that they're fantastical dough, half dimes, the knot for l times I on DH. We apply the right and rule, so that gives the force two words. Take AJ two lights, the positive exact sis, This is the force for the first segment. And for those who don't know what this integration is. So I'm just going to write it over here. So let's go on this way to the party and where Anderson in the jet other than negative one. So if this goes from a Toby to the integration of this is basically right at the part and plus one over N plus one on your slide animals from it. This Kips bay to the parent less one minus eight. A guard and place one forward and placement. That's what I did over you. And if n is minus one, the integration is just going, Toby, the lager them off. Why? And then you have to apply the limits too. So now we do the same for you. F door. So after is equal to integration over I b l b sci fi, this one on the limit side and my sins the limits are staying with told me to explicitly can't colored disentangle. This is Okay, so this this man old Sorry, it's Ah. Okay. So the way we have to see what the The surveillance Basically, Xia date, Because deal is a battle to the x axis. So Oh, our limits are going to be the limits off eggs and not the limits of Wei. That's going to be CTO do l Andi. I is a constant. We notice the constants. Also, l is that the limits off the end on deal is basically the eggs as myself. There on, we have a live from the magnetic field and we find this value. Toby, I thank thee not over l So the value ofthe y He's basically a constant here and is equal to Elsa. That comes out and we just have to integrate with the d X not. And this gives the value, Toby. My time's not times l on and off. The direction is given by right and rule being applied toe the direction of current and magnetic field on DH. You see that this direction is going to the towards now good day like the addiction. So I'm forces gonna hit this. Now we do the same thing for three of three. So far three we have I d being I'm sci fi is one on. So the constants come out off the integral on DH. We have revived from the magnetic field on. We have to find see what be Elise. So for the third segment here. Deal is basically negative. Why you again? Saudi deal is basically Dubai again. So you think that on DH is to be Quinto? I be not. And over too. This is basically same magnitude to what we found here on. Let's find the direction now. So they applied. I tend rule Andrei, get in direction. Toby along. Okay, so one thing to note this deal is actually negative way negative delight Because this is going towards the negative I exist, or so b l there's going to be negative off the light. So this is basically mimic on the direction If you apply if you apply the right and girls to see that direction is so I is, uh, okay, Cap Jake on DH, I'll be is cancer. Jacob Cross ski cap is basically I cap. We can also not include the negative sign on DH. Do the cross for that as negative. J cap cross pendant. It was stiff cake and you get killed in the same answer. So for the last part, we have I forgot to write. The elements of this is just a little over seal on DH. Let's make this place on the arrival of distress or so. But I think this is simpler, Dan. Whatever strange value you had to stake the limits As the current flows to zero and take the we control the white Now we find a Ford. So that is I times, Theo times be again on and on the constants come out ofthe day Cushion We have a life from the magnetic field on the l is the ex again And we have the limits from L. A to Theo So the at the system Now we get the value to be I be not Oh well on In this case you see that Why is see you So for this segment of food segment, that means that interval a zero and this gives the force to proceed next, the neck force is going to be Victor sunk off all the forces. So that gives if one the next F net to be equal do F one vector plus two. It's stored and the next page so f net and the corridor f one miss after less f three less before this is basically serial, as we calculated on F one and every have the same magnitude You on his three year, but they're there opposite in direction. So they add up to zero and we're just left with after. That is a negative. All high times they're not. Thanks. And this is the net force.