微电计线圈到达平衡位置所需时间的探讨

A Discussion of the Taken Time That Micro-galv anometer Coil Arrived Equilibrium Position

本文围绕微电计线圈运动方程的三个通解把问题展开:通过讨论解的收敛与单调递减性,进而得出“线圈处于临界阻尼状态到达平衡位置所需时间最短”的结论;通过讨论解的相交与非相交性,来说明“稍欠阻尼状态回平衡位置所需时间最短”的说法是没有理论根据的。

This paper centres on the three general solutions of the equation of motion of a micro-galvanometer coil to unfold the questions.We derived the conclution through discussion of the convergence and monotone dec reasing property of thesolution,i.e,it takes minimum time to arrive equi- librium position when coil lies in the critical damping state.We explain that the version,namely the time to go back the equilibrium positionis minimum when coil lies in the slightly deficient damping state,has not theoretical foundation through discussion of the intersection and not interection property of the solution.