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When a magnet is thrust into a coil as in Figure $(a)$, what is the direction of the force exerted by the coil on the magnet? Draw a diagram showing the direction o...

Question

When a magnet is thrust into a coil as in Figure $(a)$, what is the direction of the force exerted by the coil on the magnet? Draw a diagram showing the direction of the current induced in the coil and the magnetic field it produces, to justify your response. How does the magnitude of the force depend on the resistance of the galvanometer?

When a magnet is thrust into a coil as in Figure $(a)$, what is the direction of the force exerted by the coil on the magnet? Draw a diagram showing the direction of the current induced in the coil and the magnetic field it produces, to justify your response. How does the magnitude of the force depend on the resistance of the galvanometer?



Answers

Figure 23.59 A coil is moved into and out of a region of uniform magnetic field. A coil is moved through a magnetic field as shown in Figure 23.59. The field is uniform inside the rectangle and zero outside. What is the direction of the induced current and what is the direction of the magnetic force on the coil at each position shown?

Okay. In this problem, you should know that magnetic field goes out off the North Pole and comes in through the South Pole. Okay, so this is the direction off the magnetic poles that I am drawing. So in this case, you can see that the the magnetic field is basically going in the upward direction through the going in upward direction through the card. Now, before we go any further, we have to remember that in this particle, their case, according to prop them changing magnetic field is given by the final value. Minus initial value will be zero Tesla minus. The initial value is 0.4 Dessena. And the changing time is given by 2.4 2nd for part A. You should know that the induced electric field is negative. I'm dead already off the flocks. Number of turns, magnetic field through lead and the idea. And you will have ah, competent off aside, 90 degree over here. Excuse me? This would be co signing zero degree over here just because the direction of the magnetic field and the area vector for the magnetic field there Cold in here. So co sign zero. Ease one. Everything else can come outside the derivative negative. And ah can come outside the derivative and what he was left out. We changing, Be over change in time. So that is a number of times. You have 10 turns. That's just leave the negative for now. He had 10 dons. The area is by our square. Are these 1.5 centimeter? I have to put it in meter. So 04 and 015 square. Changing. Be changing t. So this will come out to be this. Just do the math real quick. I have got Ben by. This is 15 times 10 to the three. So 15 square is 225 and 10 to the minus six. 0.4 divided by 2.4. That is 1/6. So we had to do the math. Now this sexist three and two so that you will cancer. With this 10 on, you will have five. The three in the six and the 225 that will give you 75 time spy times 10 to the minus six. This will come out to the village. I have to do the math now, so this comes out to be 1177 times 10 to the minus six volt. So that is about 1.17 Thomas tend to the minus three world. Okay, so this is part A. Now we have to do part B. You have to understand that the oil is in the horizontal. Then the oil is in a horizontal then and the magnetic field is in this direction. The magnetic field used to be in this direction to start with, and then then it got Brazil because you turn off the magnetic field. Which means that which means that the current with flow in such a way that it can reinforce the magnetic field in this direction, which means so off current in that direction. Which means if the kind souls in this direction current should always flow from the positive deduction are positive voltage to negative voltage. So it will flow from, uh, Toby. This is the direction off the current in the loop. So the answer to part B Ys from, uh, to be

Okay. Uh, so you have, Ah, bar magnet here is the North Pole is the South Pole. Uh, and you have a whole coiled machinery going on here. All right, So, um, we know that Ah, maybe a few lines point from go from north to south like that. So when the magnetic field, when the when the magnet is moved to the left. What's happened? What's happening is that magnetic field lines, since they go from north to south were initially pointing along the right of the coil on. And so since the magnet is moved, magnetic field strength decreases. It's moved away from the coil. What's happening is that the coil wants to it. Oh, opposed this change. And so it will induce more magnetic field to the to the right. Um and so you have an induced. And so you have no increase in the You have an induced current to the right because of this. Okay, uh, so, uh, that's what happens when it moves away. And then when it moves towards the magnetic field, but your toe worth the corn, what you have is that, um, the, uh, magnetic field to the right of the wire is increasing. So to oppose this change Ah, there will be a current induced in the opposite direction. So, um, in part A, you have a current from left to right and part B. We have a current, um, from right, two left, and that's it.

Hi. In the given problem, there is a magnetic field perpendicular to the plane off paper and directed into it. Then there is rectangular coil, which is having and turns having length l and with W It is entering into this magnetic field which is having a magnet your B with our velocity be so this width off the coil will be intercepting the magnetic field lines perpendicular early hands emotional IMF will be induced across the ants off with. In first part of the problem, emotional e M f will be induced across the ends off direct, angular loop or soil which will be given us the product off magnetic field with the velocity and with the length of this arm, which is W now as the resistance off this oil is our so the current passing through it is given using homes law as e m f divided by our resistance. So this has given us bbw by, uh now, as this width is a current carrying conductor And yeah, of course, the soil is having and turns Sonett e m f induced a cruise. The ends of the earth will be n b we W So this is N B we w by are the current passing through this coil? No, the this current carrying arm this with having the word www with arm having the will to w as it is moving in the magnetic field. So it will experience a magnetic force which is given by the product off magnetic field and current and the resistance and the length off the arm which is again w So it becomes for be it means same for I This is and be we w by our in tow w So finally the expression for this force becomes and end times Yes, as there are total en arms having WCW so the total force will be end times off this single force. So this is any square Be square we into w squared divided by our now in order to find the direction of this force as the coil is moving towards the right. So as per lenses law toe oppose this rightward motion. This force should be acting toe words left Asper Lenses Law Now in second part of the problem, then the loop is moving inside the magnetic field inside the magnetic field, both off its arms. Having doubled, W will be moving in the same magnetic field with the same velocity. So both of them will be having the IMF induced in the same direction. Hence these two in EFS will neutralize each other so there will be no net enough induced across the coil or we can say no net current. So no net force will be acting on the oil or Luke. Now, in the third part of the problem, when this coil is coming out off this magnetic field from here, it will be coming out with the same velocity. So again, this arm, the opposite arm having the same with the W, it will be intercepting the magnetic field lines for particularly so same e m f will be induced across its ends given by nb VW. So same current will be passing through the coil. So same force will be experienced by this coil and in the same direction means towards right towards left. Same force will be acting on the loop and in the same direction means left the word. So this is the answer for the third part off that problem. Thank you

Magnets here. Two magnets are shown in the figure. This is South Ball. This is not fall. And here we have another magnate. Right now, this is South form, and this is not fall. And in between these two magnets, huh? I learned he's going into the beach now. We need to find out the correction of force. Well, obviously, magnetic field. The direction of magnetic field is from north to south in this region in the region between North Pole and South Pole. So is it This is the direction of the magnetic field and electric current is going into the page. So the cross shows date Electrical Inc is going into the page right then by a blind right and room, right? Cand really, uh, force on guarantees. Acting vertically downwards. So soused. Oh, a magnetic force. Right? So my flying right in route. So here come points in the direction of current and the fingers in the direction of magnetic field and the bomb is pointing downward. Therefore, the magnetic forces pointing down


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