不闭合回路的导体切割磁感线,磁通量是否变化,我知道会产生感应电动势,切割磁感线和磁通量变化是什么关

2025-04-07 03:04:55
推荐回答(1个)
回答1:

法拉第电磁感应定律:导体回路中感应电动势e的大小与穿过回路的磁通量的变化率成正比。
所以说,组成闭合回路的导休在匀强磁场中运动产生了感应电动势,说明回路中的磁通量一定发生了变化。不存在你所说的磁通量没变化。你可以想象一下,当一个矩形线框整体在一个匀强磁场中运动(假设线框面垂直于方向磁场),它的磁通量没有变,线框中是没有感应电动势的,因为这时有两条边做切割磁感应线运动,所产生的电动势大小相等方向相反抵消了。只有在一条边做切割磁感应线运动时,才会有感应电动势,因为这时线框的面积发生了变化,也就是线框中的磁通量发生了变化

补充:e=dφ
/
dt

e=blv
二者并不矛盾,结果是相同的。设有一个矩形导体框,移运动的边长为l,不动的边长为s,那么导体框中的磁通量为:
φ=b*l*s
设导体运动的速度为v,则有:ds
/
dt
=
v
e=dφ
/
dt
=
b*l
*
ds
/
dt=blv!
当只有一根导体在做切割磁感应线运动,而没有闭合回路时,可以认为是它所滑过的面积内的磁通量发生了变化!

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