如图甲所示,在水平面
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Ey%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
内放置有一个超导平板,在
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ez%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3Eh%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
处有一质量为m、半径为r、环心在z轴上的水平匀质金属圆环,且
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%E2%89%AB%3C%2Fmo%3E%3Cmi%3Eh%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
。在圆环内通入电流,在圆环磁场的作用下超导平板内形成感应电流,产生附加磁场。可以证明,超导平板内感应电流在
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ez%3C%2Fmi%3E%3Cmo%3E%26gt%3B%3C%2Fmo%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
区域产生的附加磁场,相当于在
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ez%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmi%3Eh%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
处对称地放置一个半径也为r的镜像圆环电流所产生的磁场,镜像圆环内的电流与原圆环电流大小相等方向相反。已知长直通电导线在空间中某点激发的磁场的磁感应强度满足下列关系式:
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Ek%3C%2Fmi%3E%3Cmi%3EI%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, k为常数,I为通过直导线的电流,x为此点与直导线的垂直距离。设重力加速度为g。当环内电流达到恒定值
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
时,圆环刚好能悬浮在
![](http://math.21cnjy.com/mml2svg?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ez%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3Eh%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
处,此时( )
![](http://tikupic.21cnjy.com/ct20241o/33/e9/33e9b4264b3aadf0b361998549d58f22.png)