Image Learning of Charge Motion in Electric and Magnetic Fields by Java Programming

Abstract

Java programs in a GUI environment have been developed for an image learning of charge motions in electric and magnetic fields. Text fields of selected parameters for the numerical calculation of the differential equations of the charge motion, such as the electric field and magnetic field, are set on the display, and the calculation by Runge-Kutta method is begun by clicking the start button after inputting values into the text fields. The calculated results are plotted immediately after the completion of the calculation as a figure on the display, e.g., a charge locus for the simulation of charge motion. By changing the values in the text fields, new results can be represented immediately, and the charge motion under a new electric and magnetic fields can be easily simulated. These Java programs are useful in education applications for rapidly and accurately image learning for the phenomena expressed by ordinary differential equations.

Accuracy of the Java Simulation for the Charge Motion in Electric and Magnetic Fields

“…The numerical method for obtaining the solutions of Equations (3) -(6) by Java programming is described in Reference [1] using the fourth-order Runge-Kutta method.…”

“…The authors proposed a Java simulation for the rapid and accurate image learning of the charge motion in electric and magnetic fields [1] and for those of the electric characteristics of RCL circuits [2]. In these simulations, the text fields of the selected parameters, such as the electric field and magnetic field for the charge motion or the values of R, C, and L for the electric characteristics, are set on the display, and the calculation by the Runge-Kutta method is initiated by clicking the start button after inputting values into the text fields.…”

Simulation of the Charge Motion near the Velocity of Light in Electric and Magnetic Fields

“…The details of the Java programing for simulating the charge motion using the increment functions are described in Reference [1]. The numerical calculations are performed using the double precision method and using the time increment h < 0.2m/qB0 to obtain an accurate simulation [2].…”

“…The authors previously proposed a Java simulation for the rapid and accurate image learning of the charge motion in electric and magnetic fields using the Runge-Kutta method [1,2]. In this simulation, we use an invariant mass of the charge resulting in an easy acceleration of the electron over the velocity of light for the Larmor motion in a static magnetic field applied a synchronized alternative electric field perpendicularly to the magnetic field.…”

Image Learning of Electric Characteristics of Resistance, Capacitance, Inductance, and their Circuits by Java Programming

“…The electric characteristics of the circuit can be expressed by ordinary differential equations, which can be solved numerically using the Runge-Kutta method. With the wide use of Java programming in a GUI (graphical user interface) environment and the rapid development of personal computers, the rapidly and accurately image learning for charge motions in electric and magnetic fields [1] and that for complicated diffusion of Au into Si [2] have been developed by the Java programming. In this paper, the ordinary differential equations for RCL circuits are solved numerically, and the voltage-current characteristics of the circuits are easily and accurately simulated using Java in a GUI environment.…”