eng Science and Education Publishing International Journal of Physics 2333-4576 2021-06-10 9 4 186 196 10.12691/ijp-9-4-1 IJP2021941 article Ali Jebelli ali.jebelli@carleton.ca 1 Arezoo Mahabadi 2 Hicham Chaoui 2 Mustapha C. E. Yagoub 3 Department of Electronics, Carleton University, Ottawa, Canada Department of Basic Engineering Science, Tehran University, Tehran, Iran School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, Canada Magnetic field is one of the most used sciences in today's industry, which is applied in many cases such as electromagnets, electric motors, and generators, electric transformers, electromagnetic wave propagation in antennas, magnetic levitation, etc. that has led to many types of research in this field. Therefore, correct calculation of magnetic force is one of effective and important discussions in this field. One of the subsets of the force calculation is between two coils. The purpose of this research is to implement and simulate two cylindrical coaxial coils with uniform current. We calculate the axial magnetic force of the cylindrical coil by simulating and implementing two coils and applying numerical integration methods, parametric integration, and finite element method in MATLAB software. The results show that the implemented codes are able to calculate the force between two coils quickly, with small error, and with high accuracy. These results will help to implement a proper system with real term and very high accuracy by choosing the best method that fits your system's constraints, conditions, and type. http://pubs.sciepub.com/ijp/9/4/1/ijp-9-4-1.pdf magnetic field magnetic force cylindrical coil MATLAB