Author/Authors :
Louzazni، Mohamed نويسنده Modeling and Simulation of Mechanical Systems Laboratory, Faculty of Sciences, University Abdelmalek Essaadi, BP. 2121, M’hannech, 93002, Tetouan, Morocco Louzazni, Mohamed , Aroudam، El Hassan نويسنده Modeling and Simulation of Mechanical Systems Laboratory, Faculty of Sciences, University Abdelmalek Essaadi, BP. 2121, M’hannech, 93002, Tetouan, Morocco Aroudam, El Hassan , Hanane ، Hanane نويسنده Modeling and Simulation of Mechanical Systems Laboratory, Faculty of Sciences, University Abdelmalek Essaadi, BP. 2121, M’hannech, 93002, Tetouan, Morocco Hanane , Hanane , Baghli ، Fatima Zahra نويسنده Modeling and Simulation of Mechanical Systems Laboratory, Faculty of Sciences, University Abdelmalek Essaadi, BP. 2121, M’hannech, 93002, Tetouan, Morocco Baghli , Fatima Zahra , Lakhal، Yassine نويسنده Modeling and Simulation of Mechanical Systems Laboratory, Faculty of Sciences, University Abdelmalek Essaadi, BP. 2121, M’hannech, 93002, Tetouan, Morocco Lakhal, Yassine
Abstract :
In this paper, we attempting to determine the linear charge density and capacitance on a finite straight segment of thin charged conducting wire of length L=1 m and radius r. we assume that the charge density piecewise constant over the length and the electric potential are is one volt. If the radius are very small compared to the length r < < L, the equation of the electric potential is writing in integral form. To ease the problem, we subdivide the wire in N=100 sub segments, each of length. We choose N points of observation on the surface and the charge density are piecewise constant onto each segment. The integral equation will be transformed to linear equation in N equation with N unknown system. We use the method of moments for solving this system and we obtained a Toeplitz matrix, the results shows the charge density for N=100 is represented on the low levels of discretisation, and the decreasing of the radius increaser the fidelity of the results.