导体细线圈在均匀磁场中的自感现象

The self-induction phenomena of the thin conductor loop in the uniform magnetic field

利用法拉第电磁感应定律和基尔霍夫第二定律,求解了随时间变化的均匀磁场中静止和旋转的导体细线圈上的感应电动势和感应电流.发现对于静止的导体细线圈,在每个周期内,有两次时间间隔,感应电动势与感应电流反向,并且有两次时间间隔,楞次定律不成立.随着磁场变化的圆频率趋向无穷大,感应电动势的峰值趋向无穷大,而感应电流的峰值趋向一个常数.只有忽略自感,线圈上的感应电动势和感应电流才会满足欧姆定律.最后,分析了导体细线圈所围平面的磁场分布和线圈自感系数.

Using Faraday＇s law of electromagnetic electromotive force and the induced current on the static field which varies with time are solved. For the static thin induction and Kirchhoff＇s second law, the induced and revolving thin conductor loop in a uniform magnetic conductor loop, it is found that in every period, there are two time intervals, in which the induced electromotive force and the induced current take the opposite direction, and there are two time intervals, in which Lenz＇s law is false. With the circular frequency of the magnetic changes tending to infinity, the peak value of the induced electromotive force will tend to infinity, while the peak value of the induced current will tend to a constant. Only if the self-induction is ignored, the induced electromotive force and the induced current on the loop will satisfy Ohm＇s law. Finally, the magnetic field distribution in the plane which is enclosed by the thin conductor loop and the self-induction coefficient of the loop are analyzed.