恒定磁场中安培环路定理的探讨

Study on the Ampere circuital theorem in stationary magnetic fields

安培环路定理是稳恒磁场中的一个重要方程,常用于分析具有某种对称性的电流体系的磁感应强度分布.本文探讨了安培环路定理应用的情形及其数学原理,通过简单的模型澄清了安培环路定理在有限长载流直导线中不成立的误解,探讨了安培环路定理成立的普适性,能够帮助学生更好地掌握安培环路定理和进一步理解磁场的性质,有助于培养学生严谨求实的科学态度.

The Ampere circuital theorem is an important law in stationary magnetic fields and is often used to analyze the magnetic flux intensity of a current system with a certain symmetry.The useful conditions of the Ampere circuital theorem and its mathematical principles are studied.The misunderstanding that the Ampere circuital theorem is incorrect in a finite-length current-carrying straight wire system is clarified through a simple model.The universality of the Ampere circuital theorem is exemplified.It helps students to master Ampere circuital theorem and understand the properties of magnetic fields.