### Выдержка

Although the electromagnetic field of a given distribution of charge and current is unambiguously defined by the Maxwell equations, there is no unique inverse correspondence between this field and point-like sources. We prove this statement for electric and magnetic dipoles and discuss two examples when the same field at some point or in some region is generated by either a dipole or an electric charge that are varying in different ways. The electric and magnetic fields of the charge depend on its speed and the distance between the charge and the observation point. It is shown that it is possible to find a law of motion for the charge in which the variation in the distance to the observer is compensated for by variation in the velocity of the charge. One particular example of the motion of a charge is discussed, wherein the electric and magnetic fields at a specific point of observation remain constant. The issues discussed could be of interest to both scientists and scholars.

Язык оригинала | Английский |
---|---|

Номер статьи | 065013 |

Журнал | European Journal of Physics |

Том | 36 |

Номер выпуска | 6 |

DOI | |

Состояние | Опубликовано - 1 ноя 2015 |

Опубликовано для внешнего пользования | Да |

### Отпечаток

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Цитировать

*European Journal of Physics*,

*36*(6), [065013]. https://doi.org/10.1088/0143-0807/36/6/065013

**Can a moving charge or a varying dipole produce a constant field?** / Boichenko, S. E.; Epp, V.; Janz, J. G.

Результат исследований: Материалы для журнала › Статья

*European Journal of Physics*, том. 36, № 6, 065013. https://doi.org/10.1088/0143-0807/36/6/065013

}

TY - JOUR

T1 - Can a moving charge or a varying dipole produce a constant field?

AU - Boichenko, S. E.

AU - Epp, V.

AU - Janz, J. G.

PY - 2015/11/1

Y1 - 2015/11/1

N2 - Although the electromagnetic field of a given distribution of charge and current is unambiguously defined by the Maxwell equations, there is no unique inverse correspondence between this field and point-like sources. We prove this statement for electric and magnetic dipoles and discuss two examples when the same field at some point or in some region is generated by either a dipole or an electric charge that are varying in different ways. The electric and magnetic fields of the charge depend on its speed and the distance between the charge and the observation point. It is shown that it is possible to find a law of motion for the charge in which the variation in the distance to the observer is compensated for by variation in the velocity of the charge. One particular example of the motion of a charge is discussed, wherein the electric and magnetic fields at a specific point of observation remain constant. The issues discussed could be of interest to both scientists and scholars.

AB - Although the electromagnetic field of a given distribution of charge and current is unambiguously defined by the Maxwell equations, there is no unique inverse correspondence between this field and point-like sources. We prove this statement for electric and magnetic dipoles and discuss two examples when the same field at some point or in some region is generated by either a dipole or an electric charge that are varying in different ways. The electric and magnetic fields of the charge depend on its speed and the distance between the charge and the observation point. It is shown that it is possible to find a law of motion for the charge in which the variation in the distance to the observer is compensated for by variation in the velocity of the charge. One particular example of the motion of a charge is discussed, wherein the electric and magnetic fields at a specific point of observation remain constant. The issues discussed could be of interest to both scientists and scholars.

KW - charge

KW - dipole

KW - electromagnetic field

KW - inverse problem

UR - http://www.scopus.com/inward/record.url?scp=84947240611&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84947240611&partnerID=8YFLogxK

U2 - 10.1088/0143-0807/36/6/065013

DO - 10.1088/0143-0807/36/6/065013

M3 - Article

AN - SCOPUS:84947240611

VL - 36

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 6

M1 - 065013

ER -