| 用几何画板研究带电粒子在复合场中的摆线运动 |
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| 引用本文： | 余春日,余婧冰.用几何画板研究带电粒子在复合场中的摆线运动[J].安庆师范学院学报(自然科学版),2012,18(3):98-102. |
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| 作者姓名： | 余春日 余婧冰 |
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| 作者单位： | 安庆师范学院物理与电气工程学院,安徽安庆,246133;中山大学翻译学院,广东珠海,519082 |
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| 基金项目： | 安徽高校省级自然科学研究重点项目(KJ2010A227);安庆师范学院教研项目资助 |
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| 摘 要： | 以一道高考物理试题为原型,建立了带电粒子在复合场中运动的参数方程,讨论了不同初始条件对带电粒子运动轨迹形状的影响。为了使带电粒子的运动过程更加直观,使用《几何画板》软件描绘了各种典型情况下的运动摆线,并用物理方法导出了摆线曲率半径的普遍公式。
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| 关 键 词： | 复合场 几何画板 摆线 曲率半径 |
A Study of the Cycloidal Motion of a Charged Particle in the Compound Fields Using the Geometer′s Sketchpad |
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| YU Chun-ri,YU Jing-bing.A Study of the Cycloidal Motion of a Charged Particle in the Compound Fields Using the Geometer′s Sketchpad[J].Journal of Anqing Teachers College(Natural Science Edition),2012,18(3):98-102. |
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| Authors: | YU Chun-ri YU Jing-bing |
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| Institution: | 1.School of Physics and Electric Engineering,Anqing Teachers College,Anqing,Anhui 246133,China; 2.School of International Studies,SUN YAT-SEN University,Zhuhai,Guangdong 519082,China) |
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| Abstract: | Modeled on a physical question in the college entrance examination,this paper establishes the parametric equations of a charged particle moving in the compound fields,and discusses varied effects that different initial conditions bring on the appearance of the charged particle′s the motion trajectories.In order to clarify the motion of the charged particle,we also depict the motion cycloids of the charged particle under various typical cases using the geometer’s sketchpad,and adopt a physical method to derive the general formula for radius of curvature of the cycloid. |
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| Keywords: | compound fields geometer’s sketchpad cycloid radius of curvature |
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