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Exercise 29.23Part Acircular loop of wire with radius = 0280 m and resistance 360 I is in a region spatial% unllotm magnelic field, &s shown in the (ollowing fi...

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Exercise 29.23Part Acircular loop of wire with radius = 0280 m and resistance 360 I is in a region spatial% unllotm magnelic field, &s shown in the (ollowing figure(Elqur_1) The magnetic field is directed into Ihe plane of the figure . At t = B= The magnetic feld then begins increasing, with B(t) = ( 0.310 T/s" )tWhat Ihe curent in Ire Icop (magnitude) at Ihe instant whon 2T?Expross your answor with the aPpropriato units.ValueUnitsFiq ureSubmitMy Answers Give UpPart Whal Is Ihe dtreceon

Exercise 29.23 Part A circular loop of wire with radius = 0280 m and resistance 360 I is in a region spatial% unllotm magnelic field, &s shown in the (ollowing figure(Elqur_1) The magnetic field is directed into Ihe plane of the figure . At t = B= The magnetic feld then begins increasing, with B(t) = ( 0.310 T/s" )t What Ihe curent in Ire Icop (magnitude) at Ihe instant whon 2T? Expross your answor with the aPpropriato units. Value Units Fiq ure Submit My Answers Give Up Part Whal Is Ihe dtreceon ol Io Curtont Ioop? counluiciocawite clockivise Submlt Anirm Give Uo Prowide Feedback



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A circular loop of wire with radius $r =$ 0.0250 m and resistance $R =$ 0.390 $\Omega$ is in a region of spatially uniform magnetic field, as shown in $\textbf{Fig. E29.23}$. The magnetic field is directed into the plane of the figure. At $t = 0, B = 0$. The magnetic field then begins increasing, with $B(t) =$ (0.380 T/$s^3)t^3$. What is the current in the loop (magnitude and direction) at the instant when $B =$ 1.33 T?

All right. In the given problem, there is ah, circular loop of conducting wire. And the magnetic field is getting into the plane off paper, and the same magnetic field will be laying through this circular loop off conducting wire also. No, the radios off. This Lou is given us 0.0 to 50 meter assistance off the wire off the loop has been given. Ask 0.390 home my grateful is in were at day zero means initially a magnetic field let through The oil is also zero. And now the magnetic field starts increasing the time as, ah function given by 0.38 Tzeitel times you, Tesla or second Cube were p small t is the time, so we have to. First of all, we have to find the time at which the magnetosphere will become 1.33 Tesla, go find this time because the value of magnetic field here in the given function this is 1.3 three is equal to 0.380 Take you so this cube off dine comes out to be equal to 1.33 divided by zero pantry it zero, which comes out to be 3.5. So finally, the time at which the magnetosphere will become 1.33 Tessler is the cube root off three point fight which consulted the 1.52 2nd So most of what we found the time at which a magnetically will become 1.33 s law? No, For the given data, the 11 used through the school will be given by the magnitude of this CMF In news. As for factories, laws off, electromagnetic induction will be given by differentiation off the magnetic locks or way we can say this is differentiation off beat times. Here is the area off the court with respect to time as a means area of the oil is constant, so we can write it like the differentiation off 0.380 dimes. Do you? We just stick to time or we can say this is spy are square and then we do this differentiation. It comes out to be 0.380 as a constant and free times east where so the current passing through this coy we become, you know, divided by are using on slow. So we can say this is 3.14 for the value. By this is our square which is 0.0. Who will fight for the whole swear by replied by this 0.380 and time we have already found which Waas free times 1.52 the whole sweat and divided by resistance off the court which was 0.390 So then we found all these values the current passing through the coil consult to be 0.13 And you This is answer for the current passing through the oil. No, we have to find the direction also as the current as the magnetic flux is coming outward and it is increasing. So the reason behind the induced magnetic flux is involved. This is getting and do not coming out. This is getting into means the magnetic flux is in were and increasing. So the flux which is in used the Indios magnetic flux, should be opposing this in using magnetic locks. So it should be outward increasing how popular and increasing. So this face uppercase off the oil to the star, behaving like a North Pole. And finally, we can say the direction of current in news in it should be counter clock vice. Thank you.

Hi. In the given problem, the magnetic field is uniform and in England direction. Entering into the plane off paper like this and the coil in this magnetic field has been given us the ship off this loop which is making and eight the radius. The upper Lou and Laurel are one and are are given as 5.0 centimeter. All you can see 5.0 multiplied by 10 drifting Parminder school meter. And for this lower loop serious is 9.0 centimeter or 9.0 multiplied by 10 Russian par minus two meter. The resistance per unit length off this wire which has been used to make this look, is giving us X. You can consider it to be X and it is 3.0 own our meter. The tying braid off change off magnetic cream is given us to wind 00 Yes, law, what a second! So most awful. We will find the circum parents off these coils which is symbolized at sea. So circum parents off first coil. Stephen, we begin as to buy our one so obstinate resistance will become that assistance. But in England X times the circumference Or we can say this is too by are one X and similarly that resistance off the bigger loop Bigger circle we become do by our door x No, the MF in news in the smaller Luke using Faraday's laws off electromagnetic induction The magnitude of this anything used will be given by de 51 by DT time rate of change your flocks magnetic flux which is nothing but the product off magnetic crew. With the area of this coy here video being a constant can be taken out So even b b by DT and we know that it has given us by our money square into db by DT So this is the enough in your so current in used in the sky the upper Lou I won will be given by home slow as even by are one. So it will become by our money square bebe by DT Divided by are one bitches do by are one x so canceling all the common terms you get I want comes out to be our one divided by two x dimes BB by ditty. So when they put these values current I one Comes out Toby five. In tow, End racial bar minus two for our one. The radius on the upper loop Don't X and four x This is three own or meter and for being divided in this is to Tesla for second. So finally this current comes out to be fine by three. Multiplied by 10 dish bar minus two and beer and the direction off. This current will be counterclockwise using lenses law. No. Similarly, the current induced in the Lord Liu will be given by the formula. Are you divided by two x db by DT So, putting these values here this is nine into 10 nation par minus two meter or the radius. It's a stupid tree two times three for the resistance. But in the plan and for divided this is school again. Put a stop for a second so they sell you comes out to be three multiplied by tended bar minus two and you and then we look for its direction. The direction of discovered could be again. It could also be counterclockwise so as both occurrence are trying to run counter clockwise. So these currents will be overlapping here. So the net current in the loop will be equal toe the difference off these footprints. So the net current in this look will come out to be I do minus Ivan. What we can say This is three minus five by three into 10. Dish par minus two. And here, which comes out to be 0.133 And you're in counterclockwise direction in the lower luke. So this direction is counterclockwise in the Lord Liu. It will become clockwise in the upper loop upper circle off this eight. Thank you.

Okay, so we know India's current. Can we go to induce CMF over resistance in the India's IMF In this case can be connective defy be over DT, which is you connective TV over didi is can be also expressed as an active a tense TV Oh, did he? You know the area here can be good to the upper circle area minus d lower circle area which is you group iru squared minus pi out elsewhere and is equal to pi attends Are you scoring? Minus are elsewhere therefore have PMF is in connective pie times are you squirt minds are elsewhere Testy be over DT And when other resistance can you go to may So conference of the upper circle in the lower circle and times the resistance for young laugh Donna, here is the resistance per unit and two why are you plus two pi r l is the total circumference Oh, comes or it is a toaster conference off the Harper Circle in the lower circle. It would just arrange in here eventually have are you go to to bite on the Trans are you plus, uh, now could determine India's currents, which is you go to connective pi times argues Gorman's I'll square over to buy Has London Times Are you plus ill and intense TV? Or did he? As you can tell, high here can, because all and it will give us current I is. You go to R L score minus are you score over to Lunda tens are you plus sorrow and intense TV over DJ, and we know the radius for the narrow circle is nine centimeter, which is 0.9 meter. And the radius for the opera circle is five centimeter, which is joke 50.5 meter and the rich resistance per unit length he's given as three or make up a meter, and we know the race off. The, um, my nephew is given as to Tesla for a second. The non is plugging these values spends with the question to determine India's currents, which is you Go to Joe Poin, Joan I meter minus zero point Jove, I meaner over two times three omega a meter end times zero point Joe and I meter plus euro boy, 05 meter. And then, ah, what about by to Tesla for second and is this equal to one point 33 three tons. 10 to the power off. Negative to appear if he converted to. Really? I'm here. What have they induce? Currents. Do you see what? To 13.3 three Milly Empire. So not has take a good party. So you take will get a figure. We know the direction off the my nephew is into a page. Therefore, we can apply the right Andrew. So have such, uh, figure here as you until the direction of the angels currents for the upper circle is clockwise. Any direction for the India's currents from the lower circle is contra clockwise. And these are the answers, but his question

Hi. In the given problem this days, the circular loop off conducting wire and there is a magnetic field coming out of the plane off paper, and this is linked through this coil. Also like this. The radius of this car has been given us 0.0 for 80 meter. The resistance of the car is you'll find once it's cereal. Um, and the magnetic field is coming outward and this magnetic field is reducing at the time but given rapes as minus 0.680 Tesla for a second, and the initial magnetically linked with the oil is be not is equal to 8.0 Tesla. In the first part of the problem, we have to find the direction off current induced in this coil. As a result, off change off magnetic field as the magnetic field, its outward and it is decreasing. So the reason behind the E m F ing Jews will be outward decreasing magnetic locks. So as per lenses law, the induced magnetic field should be in a direction which means oppose this outward, decreasing magnetic flux So the unused magnetic flux will be out were but in grazing as the magnetic flux in news, magnetic flux is outward increasing. So this face, the upper face of the oil should start behaving like North Pole. Or we can say the direction of current induced in this should be counter clockwise. Here. This is the direction off the current induced, which is from prick lock price. And this is the answer for the first part of the problem. Now, in the second part of the problem, we have to find the rate at which electrical energy is being dissipated by the resistance off the loop. So for this purpose, first of all, we will find the expression, the value, the marriage Bureau. The enough in News on back is given by Faraday's laws off electromagnetic induction as enough in used is minus defy by DT. Or you can see this is the differentiation. Off be dimes. Stay here is the area and he's the magnet. Appear with respect in time, or it will become as areas constant. So this is minus a B B by ditty. So we put these values here. This is spy are square and we know the radius is 0.0 for eight to the whole square and for very by the key. You know, this is minus zero buying 680 So finally this Yemen in used comes out to be 4.94 into 10. Vision power minus three World, this is the Matheny. You off the MF induced in this coy. Now, finally, we have to find the rate at which the electrical energy is being dissipated, for which we will use the formula for the power as M f E squared, divided by the resistance. And it comes out to be 4.94 multiplied by 10 dish par minus tree to the whole square, divided by resistance, which was in a bind once eggs it'll. And finally this father comes out to be 1.5. Do multiplied by 10 dish bar minus For what? And this is the answer for the second part of the problem. Thank you.


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