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通过建立坐标系,确定回旋加速器中粒子运动轨迹圆心的坐标,并用MATLAB画出轨迹圆心的坐标曲线。随着加速次数的增加,一极板上圆心远离原点,另一极板上圆心靠近原点,它们都逐渐趋于同一坐标点。粒子飞出磁场时圆心坐标与轨迹半径相比很小,可以认为其圆心就在D型盒的中心,从而粒子飞出D型盒时最大动能由D型盒的半径决定。
By establishing the coordinate system, the coordinates of the center of particle trajectory in the cyclotron are determined, and the coordinate curve of the center of the trajectory is drawn with MATLAB. As accelerations increase, a circle center away from the origin, and the other plate center close to the origin, they gradually tend to the same coordinate point. When the particles fly out of the magnetic field, the coordinates of the center of the circle are small compared with the radius of the trajectory. The center of the circle can be considered as the center of the D-shaped box. Therefore, the maximum kinetic energy of the D-shaped box when the particles fly out is determined by the radius of the D box.