Mathematical Analysis on Spherical Shell of Permeable Material in NID Space | [Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences • 2023]

Author(s):

1. Saeed Ahmed: Department of Physics, Quaid-i-Azam University,Islamabad,Pakistan

2. Muhammad Akbar: Department of Electronics, Quaid-i-Azam University,Islamabad,Pakistan

3. Muhammad Imran Shahzad: Department of Applied Physics, Federal Urdu University of Arts, Science and Technology Islamabad,Islamabad,Pakistan

4. Muhammad Ahmad Raza: Department of Statistics, Federal Urdu University of Arts, Science and Technology Islamabad,Islamabad,Pakistan

5. Sania Shaheen: Department of Applied Physics, Federal Urdu University of Arts, Science and Technology Islamabad,Islamabad,Pakistan

Abstract:

In this paper, we have studied the magnetic shielding efect of a spherical shell analytically in fractional dimensional space (FDS). The Laplacian equation in fractional space predicts the complex phenomena of physics. This is a boundary value problem that has been solved by the separation variable method mathematically by taking low frequency ? = 0. Electric potential is obtained in fractional dimensional space for the three regions, namely outside the spherical shell, between the shell and hollow sphere and inside the sphere. Also, the induced dipole moment has been derived. We obtain a general solution that reduces to the classical results by setting fractional parameter a = 3 which takes its value (2 < a = 3).

Page(s): 63-66

DOI: 10.53560/PPASA(60-3)663

Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 60, Issue: 3, Year: 2023

Keywords:

Fractional Dimensional Space , Magnetic Shielding Effect , Spherical Shell , Variable Method

References:

References are not available for this document.

Citations

Citations are not available for this document.

Citations

Downloads

Views