### Abstract

A conceptually simple result, which was recently derived for the circulation of the magnetic field created by a finite portion of wire carrying a slowly varying current, is used with the superposition principle and symmetry considerations to obtain an expression for the magnetic field of a thin cylindrical shell of finite length. This expression is combined with a new formula for an oblique solid angle, to obtain closed form solutions for the magnetic field created by the thin cylindrical shell segment in all regions of space. The solutions derived herein are applied in the limiting situations where the cylindrical shell’s length or radius is very large and compared to the known results for the magnetic field of a long conducting tube, and of an infinite plane, respectively. In addition, the use of physical principles of superposition and symmetry in this study is instructive from an educational perspective.

Original language | English |
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Pages (from-to) | 979-986 |

Number of pages | 8 |

Journal | Electrical Engineering |

Volume | 99 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Sep 2017 |

### Keywords

- Finite hollow cylinder
- Magnetic field
- Oblique solid angle

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## Cite this

*Electrical Engineering*,

*99*(3), 979-986. https://doi.org/10.1007/s00202-016-0465-3