Circular motion of a charged particle on the inner surface of a frictionless cone under the influence of an electric field due to an electric dipole

被引:0
作者
Yusmantoro, Yusmantoro [1 ]
机构
[1] Univ Gadjah Mada, Dept Phys, Yogyakarta, Indonesia
关键词
circular motion; charged particle; electric dipole;
D O I
10.1088/1361-6404/ad733f
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
A common problem provided in elementary physics textbooks is the analysis of the circular motion of a point-like particle affected by a gravitational field on the frictionless inner surface of an inverted cone. In this research, we study the motion of a charged particle on the same surface subject to an electric field generated by an electric dipole placed at the bottom of the cone. We study negatively and positively charged particles and analyse the dynamics of both. We calculate the physical quantities such as speed, angular velocity, angular momentum, and mechanical energy. Furthermore, we determine all possible distances travelled by the particles measured from the dipole. We also discuss the stability of the circular orbit using the effective potential. Finally, we consider the particle's motion on a generic surface formed by the revolution of the curve rho z around the vertical axis. We determine the differential equation of rho z , in which the kinematic variables including speed v, angular velocity omega, and angular momentum L are constant.
引用
收藏
页数:17
相关论文
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