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Chapter 28, Problem 045 wire 39.2 cm long carries a 0.530 A current in the positive direction of an x axis through a magnetic field with an X component of zero, a y...

Question

Chapter 28, Problem 045 wire 39.2 cm long carries a 0.530 A current in the positive direction of an x axis through a magnetic field with an X component of zero, a y component of 0.000440 T, and a component of 0.0130 T Find the (a) X, (b) Y, and (c) Z components of the magnetic force on the wire.(a) NumberUnits(b) NumberUnits(c) NumberUnitsClick If You would Ilke t0 Show Work for thl: question: Qpen Shok Work

Chapter 28, Problem 045 wire 39.2 cm long carries a 0.530 A current in the positive direction of an x axis through a magnetic field with an X component of zero, a y component of 0.000440 T, and a component of 0.0130 T Find the (a) X, (b) Y, and (c) Z components of the magnetic force on the wire. (a) Number Units (b) Number Units (c) Number Units Click If You would Ilke t0 Show Work for thl: question: Qpen Shok Work



Answers

Figure $29-35 a$ shows an element of length $d s=1.00 \mu \mathrm{m}$ in a very long straight wire carrying current. The current in that element sets up_a differential magnetic field $d \vec{B}$ at points in the surrounding space. Figure $29-35 b$ gives the magnitude $d B$ of the field for points $2.5 \mathrm{~cm}$ from the element, as a function of angle $\theta$ between the wire and a straight line to the point. The vertical scale is set by $d B_{s}=60.0 \mathrm{pT}$. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance $2.5 \mathrm{~cm}$ from the wire?

Hi in the given problem. Asper bio and sever slaw. The small magnetic field due to our current carrying conductor at any observation point is given us in vector form B. B. But it's equal to new. Not upon for pie I. D. S. Gross get divided by the square where these are. Is the distance of observation point from the current element ideas. So it's magnet you will be given by D. B. Is equal to immunity upon four pi I. D. S. Sign. Heat up divided by artists where where this theater is the angle between the current element direction of current element and direction of position vector which is director joining the current element with the observation point. So it is obvious that this magnetic field is depending directly on scientific to So it will be having maximum contribution At theatre is equal to by by two. So this magnetic field maximum magnetic field Libby as you can say to be. It will come out to be New not by four pipes into I. D. S. For scientists I mean signed by but which will come out to be one divided by the square and with the help of good noted between the magnetic field and that he stands. This magnitude of maximum magnetic field Comes out to be 60 Chico s lock and that magnetic released due to the small element. So plugging in all known values here for me, not upon 45 pieces tentage par minus seven Tesla meter per ampere current passing through this conductor that is missing for the time being and length of this element is one micrometer Or we can say this is one into 10 for -6 m Divided by the distance of observation point which is 2.5 cm Or 2.5 into tended bar -2 m to the whole square. And here this is 60 into a 10 for minus wealth, best slot, the conversion factor for equal. So finally the current here will be given by 60, multiplied by 10 for -12 Into 6.25 into tended bar -4. That's where of this distance and divided by Tended Bar -7 And 10 for -6. So finally this current here comes out to be 0.375 MPR. Now using this current, the magnitude of current, the total magnetic field at this observation point. Do you do in finite length of the conductor? That will be given by B is equal to μ not upon four by again Into two. I buy art. So no plugging in all of the values along with the value of current which we have found earlier. That is standing by -7 islam meter for impure Multiplied by two times of current which is 0.375. NPR divided by distance up which has given us 2.5 centimeter or 2.5 to 10 for minus two m. So canceling this meter and cancelling this ampere finally here this magnetic field comes out to be 3.0 into 10 for -6 Tesla. Or we can say this is 3.0 Micro Islam, which is the answer for this given problem here. Thank you.

Thank you. Thank you. Distance from this street wire distance. So just go on and off. It's just you get by. Hi. All right. Now, as you can see from this table, developing off the negative field is excellent. So you can write the fish. All right? Yes. Sign and out. It's one. So this is so after you die close to Barbara. So I'm just tired. The magnetic. See, that just by people is just 60 people, just 16 and respected food, uh, at a distance, Because that you see oh, in this final moments require is pointless. And five years find a vaccine. We just proved the decoration. 39.4. No. Looked soon with respect. I just 0.5 cents. Just six. You just

Hi in the given problem. Asper bio and sever slaw. The small magnetic field due to our current carrying conductor at any observation point is given us in vector form D. B. But is equal to new. Not upon for pie I. D. S. Gross get divided by your heart is square. Where these are. Is the distance of observation point from the current element ideas. So it is magnet you will be given by D. B. Is equal to immunity upon four pi I. D. S. Sign. Heat up divided by artists where where this theater is the angle between the current element, direction of current element and direction of position vector which is director joining the current element with the observation point. So it is obvious that this magnetic field is depending directly on scientific to. So it will be having maximum contribution At theatre is equal to by by two. So this magnetic field maximum magnetic field Libby as you can say to be. It will come out to be New not by four pipes into I. D. S. For scientists, I mean signed by but which will come out to be one divided by the square and with the help of good knotted between the magnetic field and that he stands. This magnitude of maximum magnetic field Comes out to be 60 Chico S lock and that magnetic released due to the small element. So plugging in all known values here form you note upon 45 pieces tentage par minus seven tesla meter per ampere current passing through this conductor that is missing for the time being and length of this element is one micrometer Or we can say this is one into 10 for -6 m Divided by the distance of observation point, which is 2.5 cm Or 2.5 into tended bar -2 m to the whole square. And here this is 60 into a 10 for minus well, best slot the conversion factor for equal. So finally the current here will be given by 60. multiplied by 10 for -12 Into 6.25 into tended bar -4. That's where of this distance and divided by, attended by -7 And tended bar -6. So finally this current here comes out to be 0.375 MPR. Now using this current the magnitude of Koran the total magnetic field at this observation point. Do you do in finite length of the conductor that will be given by B is equal to mu Not upon four pi. Again Into two. I buy art so no plugging in all of the values along with the value of current which we have found earlier That is standing by -7 islam meter perimeter here Multiplied by two times of current, which is 0.375 NPR divided by distance up, which has given us 2.5 centimeter or 2.5 to 10 for minus two m. So canceling this meter and cancelling this ampere. Finally, here, this magnetic field comes out to be 3.0 into 10 for -6 Tesla. Or we can say this is 3.0 Micro Islam. Did you answer for this given problem here? Thank you.

So we don't have the length given in the problem. But we don't know the direction off the island so we can drive the land. Director Toby, let's college all be equal through else times. I kept that l is the length on dhe. We don't know that. And probably we don't need it because we want to find the force. But unit land. Now, let's use E question 27 pointy. So we have f B Equador, cross product, off length and magnet exceeds. No, this is equitable, I times. And so we use this. Oh, this'll expression over here on dhe the vector, the magnetic field Victor is going to be little point forth. A slap. My cap minus zero point 36 this laugh. Jake Plessy, off 0.5 feet. This law. No, If you block this over here, you get. Since we won't force for unit land, let me just take this my dental off. L over here. So now we have forced your client and this is it called. Oh, I times I get Inspector, Let's use the dominant true on Gordon. Does giving Toby gm people like that, I swear, armed. So for the Covenant will before stride made elections. Then we like components off the fost director, which is just 1 to 0. Then companies for the second reference, Avi and zero point fruity negatives were going 360. Make sure you consider the science not taking the dominant off this matrix. So doing that force for union planned comes up to the equal toe negative 0.75 Take AP minus one point. See late. Okay, cap. New done or made up. If you want to convert this into centimeter romantically, it divided by 100. So it's becomes equal to negative 7.5 50 camp. Now get this one point, then 0.8 k cap dying Stand for the barge minus T. You've done Watson, can you?


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