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WORKSHEET-15,Q N:lawn 3: 26am You want to use the idea of electromagnetic induction to ma the bulb in your small flashlight glow; it glows when the potential differ...

Question

WORKSHEET-15,Q N:lawn 3: 26am You want to use the idea of electromagnetic induction to ma the bulb in your small flashlight glow; it glows when the potential difference across it is 1.5 V. You have a small bar magnet and a coil with 100 turns, each with area 3 x 104 m2. The magnitude of B -field at the front of bar magnet's north pole is 0.04 Tand reaches 0 when it is about 4 cm away from the pole. Can you make the bulb light explain:

WORKSHEET-15,Q N:lawn 3: 26am You want to use the idea of electromagnetic induction to ma the bulb in your small flashlight glow; it glows when the potential difference across it is 1.5 V. You have a small bar magnet and a coil with 100 turns, each with area 3 x 104 m2. The magnitude of B -field at the front of bar magnet's north pole is 0.04 Tand reaches 0 when it is about 4 cm away from the pole. Can you make the bulb light explain:



Answers

You want to use the idea of electromagnetic induction to make the bulb in your small flashlight glow; it glows when the potential difference across it is 1.5 $\mathrm{V}$ . You have a small bar magnet and a coil with 100 turns, each with area $3.0 \times 10^{-4} \mathrm{m}^{2}$ . The magnitude of the $\vec{B}$ field at the front of the bar magnet's north pole is 0.040 $\mathrm{T}$ and reaches 0 $\mathrm{T}$ when it is about 4 $\mathrm{cm}$ away from the pole. Can you make the bulb
light? Explain.

Hi. In the given problem, it is said that the girl off flashlight we blow only at ah, potential off 1.5 wars. So the enough induced across this electromagnetic should be off 1.5 vote No. We have a small bar magnet and a coil having the number of terms, and it area off. This guy is 3.0 into 10. Visual par minus four. We don't slam Michelle Magnetic field wars 0.40 Testa And then he says, removed farther away, upto artist and so forth Centimeter, where the magnetic field is reduced to zero, means it becomes your best love. So a changing magnetic we will be beat your minus the but or we can say this zero miners 0.40 Tesla's or this is 0.0 or zero Tesla in negative. So using Faraday's laws off electromagnetic magnetic induction, the imaging used is given by minus defy by DT. Negative walk time rate off. Change off magnetic flux. Just given. Ask d by d T o N B A. Yeah, this is a number of fronts and and for flux, this is the dog in which comes out to be a cause zero b as the magnetic previous perpendicular to the area off the boy. So it becomes just be into it. No looking in all known values. But before that, we can take this constant. This constant values out as a number of France's constant and 80 off the oil is also constant. So it remains just d d five d t now flocking in all no values for number of trans thesis 100 or area. This is we know the value off this area, which is 3.0 into 10 days, far minus four and then for TV body D for DVDs is minus 0.4 40 p. We have to find a time in which this magnet has been removed has been shifted by a distance of four center on the anything use should be 1.5 board. So this is 1.5, which come stupid equal to 3.0 into 10 days to par minus who as this 100 is multiplied with this anguish for minus four and these two negatives becomes a positive. So this is 3.0 intentional minus two multiplied by 0.4 Invited by Time t. So finally, this time comes out to be 3.0 into 10. Dish par minus two into 0.4 Divided 51.5 So this time is having a value. 8.0 into 10. Dish par minus four seconds. Hence the speed which we should keep this magnet comes out to be. Speed is equal toe distance upon time. Distance dragged his four centimeter, and it should be dragging a time off. 810 into banishment minus four second. So it comes out. Toby. Zero wind bye in tow. 10 ish part, four centimeters for second. Or we can say this is where it should be. 50 m per second. But this is a very quite large speed which cannot be achieved. Hence we can say yes. This speed can not be achieved. So this e m m. Or cannot be induced. Focus. Flashlights. Both cannot be Meet two or page. Thank you

In this question, we are given a bar magnet that induces a current in an end turn coil as shown here. So notice that here you have the South Pole going towards the coil. And, uh, the problem tells us that the coils radius is R centimeters and that the average induced E M f across the bowl during the time interval is Yemma Absalon Bulls. So the first question asks us, make a list of a of the physical quantities that you can determine using this information. Well, if I already have, um, radius R, that means become for sure find the area of the coil, as in the area in close by the coil. Now, if we apply the formula, Yemma is equal. Teoh end times the absolute value of change in flux over change in time and recognizing that in this case, when you move the farm and get closer to the coil, what is really changing is the magnetic field experience by the coil, and therefore this equation expands to this. Now, assuming that we have the time, Interval used, uh to create this voltage needed to let up the light bulb then and we also have the area here and assuming that this is straight up and down, so the angle is 90 degrees. Then we can also plug in the rest of the information we have by, uh, and calculate the change and the ah external magnetic field from the magnet. Now, part B asks us well, which direction is thean induced current? Is it gonna go from a to B or from B to A Well, let's look at the, uh, external magnetic field a little closer. So because this is the South Pole, the field won't go into the South Pole. Now, if you move the magnet closer to the coil, that means the magnetic flux is increasing. So give the flux is increasing. That means be induced must go in the opposite direction as the external magnetic field in order to in order to oppose the change in the flux. So if now you use the right hand rule and go in the direction of the induced magnetic field, you'll find that the induced current is going to go in this direction. So in the end you have the induced current going from A to B

So here we can find the number off dance in the oil using a question. 21 point. Don't be so now Meddoff don'ts will be equal to the E m f or garage late off change or flux on DDE, the changing flux will be equal to twice off. Being naughty on this is because the magnet process through the coil, the few changes direction and therefore the changing flux for each pass is twice the maximum flux. Hence strikes off being arch times eight. Now, idiot will be idiot off. This is good. So that will be be not dines by all of scratch. Now we know what the e m. Memphis induced Yemen. So that is three boys be not is 0.5 But we don't know what Delta T and R is. So the call should have a dime. It'll about equal to the diameter off a standard flashlight basin so that it will be simple to hold and use. This would give the growing it ideas off about 1.5 cm, so that will be equal to 0.15 meter. Not coming to tell Daddy Select Assume that the magnet is shaken with a frequency off about two shakes. My second, this means that the magnet passes through the coil four times per second. So this means that the frequency is actually four nights for a second on. We know that frequency is one over the time period, which is Delta t over here. So that will be equal to forge times for second. This means that Delta T will be called the one over four and a 0.25 seconds Sonali and substitute each of these values over here. And that will give us and Toby 10,610 don'ts. So that's the number Now the answer will vary somewhat. Based on the approximation used on the stone. You're approximations. For example, A flashlight with a smaller diameter for double A batteries perhaps could required more number off guns. Thank you

So in this problem, we're told that we can make a flashlight that's powered by the induced current of a magnet moving through a coil of wire So the coil in the magnetic has had a plastic tube that you can shake. Calling the magnets move back and forth through the coil. In the induction causes the flight flashlight to be powered. We're told to assume that the magnet has a maximum field strength of about 0.5 Tesla. I'm going to make some reasonable assumptions about the size of the coil, and then I'm going to find the number of turns necessary to light a standard three vote flashlight. Bold. So here we can simply lose Faraday's law induction so the IMF induced will be given by minus the number of turns in the quail Times change and magnetic flux per unit time. Okay, so given that the flux minute flux is equal to the strength of the magnetic field times the area and we can approximate roughly how big the coil would be by, in our example, let's say 1.5 centimeters. Although any reasonable estimation will do, we can find the area of the coil simply by finding Harry of a circle for assuming a circular coil. So now the last thing we have to do is we have to assume how fast were shaping the magnet. So if we say that we can shake it about two times per second, that means that the magma will be passing through the coil every quarter of a second, so I would correspond to a delta t of about 0.25 seconds. And remember, this is just a rough estimation, any valid approximation that you want to make. Well, d'oh. But these just the numbers that world will end up with. So now we can solve the number of turns. This would be equal to the IMF induced times, or rather, divided by the change in flux her time and plugging in what we've found here. This is equal to the M s induced over two times maximum main field strength times the area now playing in the values that we've chosen here this works out to be 11,000 terms. So anywhere in this ballpark is an acceptable answer


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