问题 多选题

如图所示,通电导体棒静止于水平导轨上,棒的质量为m,长为L,通过的电流大小为I且垂直纸面向里,匀强磁场的磁感强度B的方向与导轨平面成θ角,则导体棒受到的(  )

A.安培力大小为BIL

B.安培力大小为BILsinθ

C.摩擦力大小为BILsinθ

D.支持力大小为mg-BILcosθ

答案

以导体棒AC为研究对象,分析受力,如图.

其中,安培力大小FA=BIl,根据平衡条件得:

G+FAcosθ=N…①

f=FAsinθ…②

由①得:N=G+FAcosθ=mg+BIlcosθ

由②得:f=BIlsinθ

由牛顿第三定律得,导轨受到AC棒的压力和摩擦力各为:

N=mg+BIlcosθ和f=BIlsinθ.所以选项AC正确,选项BD错误.

故选:AC

单项选择题
填空题

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