Edits to “Statement”, “Answer”
en/9.2.18.md
+2 −2
| @@ -1,6 +1,6 @@ | |||
| ### Statement | |||
| − | $9.2.18.$ [Insert the problem statement] | ||
| + | $9.2.18.$ The magnetic field of a flat contour with current at large distances from it is determined by the magnetic moment of the contour and does not depend on its shape. Prove it. | ||
| ### Solution | |||
|  | |||
| By dividing the contour into a set of small magnetic dipoles in the shape of a square, with the current in the touching sides directed in opposite directions, this combination, with the side of the square tending to zero, will give us a field equivalent to the field of the contour. At large field distances from such a sum of squares, there will be an equidistant dipole in the field of one dipole, and the number of dipoles in the contour will depend only on its area. | |||
| @@ -10,4 +10,4 @@Solution | |||
| #### Answer | |||
| − | [Insert a concise answer or boxed result] | ||
| + | Q.E.D. | ||
| @@ -1,6 +1,6 @@ | |||
| ### Statement | ### Statement | ||
| $9.2.18.$ [Insert the problem statement] | $9.2.18.$ The magnetic field of a flat contour with current at large distances from it is determined by the magnetic moment of the contour and does not depend on its shape. Prove it. | ||
| ### Solution | ### Solution | ||
|  |  | ||
| By dividing the contour into a set of small magnetic dipoles in the shape of a square, with the current in the touching sides directed in opposite directions, this combination, with the side of the square tending to zero, will give us a field equivalent to the field of the contour. At large field distances from such a sum of squares, there will be an equidistant dipole in the field of one dipole, and the number of dipoles in the contour will depend only on its area. | By dividing the contour into a set of small magnetic dipoles in the shape of a square, with the current in the touching sides directed in opposite directions, this combination, with the side of the square tending to zero, will give us a field equivalent to the field of the contour. At large field distances from such a sum of squares, there will be an equidistant dipole in the field of one dipole, and the number of dipoles in the contour will depend only on its area. | ||
| @@ -10,4 +10,4 @@Solution | |||
| #### Answer | #### Answer | ||
| [Insert a concise answer or boxed result] | Q.E.D. | ||