Use of integration to calculate the magnetic field in a space by using mathematica software for the effective production of nano-particles

Abstract

One of the challenges is to know the exact value of magnetic field in a three-dimensional space which is unknown so far. In this paper we have used integration formula in a Mathematica software to calculate the exact magnetic field and then set up an experimental method to verify this experimentally by applying a magnetic field with a physical magnet of the diameter of 8.1 cm and height of 6 cm. Finally, a comparison between theoretical and experimental calculations is shown in two-dimensional and three-dimensional graphs.We develop a theoretical model by using Mathematica software to calculate the magnetic field for a one-sided magnet using a single electromagnetic coil and several electromagnetic coils. Similarly, we have developed a method to calculate the magnetic field using Mathematica software when two electromagnets are set on both sides of the arc plasma for a single coil and several coils. In all cases, theoretical data is verified by the experimental value. By comparing the graph for both one-sided and two-sided coils we have found a good agreement between the data with the experimental and theoretical values.

Subject Classification:

• Primary 28B15
• Secondary 45A05

Keywords:

• Mathematical modeling
• Magnetic field
• Integration
• Mathematica
• Nano-particles