如右图所示,带电液滴从h高处落下,进入一个匀强电场和匀强磁场

如右图所示,带电液滴从h高处落下,进入一个匀强电场和匀强磁场互相垂直的区域,磁场方向垂直纸面,电场强度为E,磁感应强度为B.已知液滴在此区域中做匀速圆周运动,则圆周的半径R=_________.

答案


解析:

带电液滴进入场区的速度设为v,根据机械能守恒有mgh=mv2,解得,又液体在场区内做匀速圆周运动,说明mg=Eq,向心力由洛伦兹力提供,则qvB=mv2/R,所以.

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