The force accepted by the magnetic field is given by I Times and Crosby on. So the magnitude of the force is going to be a i l b time sign Find their fires. The end of the Ellen B on the direction off is given by right Kendall being applied on the length off the direction off the floor off current on the magnetic field. Direction now for the wire to ribbon addressed the net force on the wire Should be syrup. That is the force exerted on it on the wire by the magnetic field Must have the component directed up the incline. So like that. So there should be a component off magnetic field along this direction. How to produce a force in this direction. The current on the wire must be directed from left from right to left in the figure. The problem in the textbook are viewing the wire from its left hand on and from the left hand, the direction should be as shown over here. So this is the image off the wire from its left hand. I So we have a magnetic seed, a competent off my medic food awkward so that there is a competent off magnetic field along the direction off, implying on DH forces here on DSS occurring must be directed from left to right. So sad from right to left. So that is that should be like this. So current going from this angle, the current should be coming out off the laying off the screen. So we dropped three. That body diagram off. Ah, this, uh, why off the for the wire. So this is the free body diagram that have already drawn. So basically buying ah, is the direction off the incline upward on exes? Perpendicular to that, an ex points positive ixis town work. Andi, Since f i points, he'll we have components along x and y direction. And similarly for md it is the gravitational force. And since the Net force on the line here in Seattle underwire to be addressed, we should have f submission off If y to be called zero on. Yeah, basically that we should also have some mission off f X to be equal to zero. But as you can see, FX bull fixed consist off all the forces along the positive ex direction. So to counteract that we have the normal force, the contact force from the plane off tent line. So this is going to be s I sign Rita less empty, caustic down. So these two forces minus and because this is in the opposite direction is equal to zero. But we basically don't need the normal force here, so we can just ignore doing this Ted doing this calculation. So we go with the net force along my direction, Tau zero. And this gives if I caused the savages and positive my direction minus M design puta minus sign is because, and designed to the points in the opposite direction to this force. And that should be going to zero. And this gives are fine. Okay, So before doing that, less that persist, use the value ofthe force. The question off this force to with this, because forces basically the magnetic force somewhere. When I used this equation, Dimes costed down minus in design. Tick tock, constancy pants. Since the angle between Ellen be the current direction off current on the magnetic field, as you can see here it's 90 degree, so sign files. Basically one. Still, they question reduces toe this. Now we can solve this equation and we get high to be equal to mg B time's scientific over costume. And we know that scientist over cost it. I stand it us. So I insecure, too, and you can take over one times the Latin dude off magnetic field.