如图所示,在无限长的竖直边界
和
间,上、下部分分别充满方向垂直于
平面向外的匀强磁场,上部分区域的磁感应强度大小为
为上、下磁场的水平分界线。质量为
、带电荷量为
的粒子甲从AC边界上的
点垂直于
边界射入上方区域,
两点相距为
,当其第一次运动到分界线
上时与原来静止在
点的粒子乙发生弹性正碰,粒子乙的质量为
、电荷量也为
,两者碰撞前后质量和电荷量均不改变,
两点的距离为
。不考虑粒子重力和粒子间的相互作用力,不考虑两粒子在之后的运动中再次发生碰撞的可能,求:
(1)粒子甲射入磁场时的速度大小;
(2)碰撞后若粒子甲能在磁场中再次回到
上,则从碰撞后至第一次回到
上的时间是多少?
(3)当下方区域的磁感应强度
,证明粒子乙不会从
边界射出,并计算若粒子乙最终垂直
边界飞出,边界
与
间距离的可能值。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8e018c6aecaa7a031c3526361f6f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b2087eadbbd0dab72b7483b9181585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a50fba32ad7bd6fd1e255bb47ccfe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241b6698ddef2fff0f8df4c9e373b64c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade9841a8e6840efddcfd8620a6fc1fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b2087eadbbd0dab72b7483b9181585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476b66dc94503165fa4b4414d69a33c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)粒子甲射入磁场时的速度大小;
(2)碰撞后若粒子甲能在磁场中再次回到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
(3)当下方区域的磁感应强度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fe91203ff64739bb16cdd4e25eb1a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/17/12ffaa03-27e6-4600-ad8a-2589e49990e3.png?resizew=160)
21-22高二下·广东广州·期末 查看更多[2]
更新时间:2022-07-13 10:46:19
|
【知识点】 带电粒子在直边界磁场中运动
相似题推荐
解答题
|
较难
(0.4)
【推荐1】在第Ⅱ象限内紧贴两坐标轴的一边长为L的正方形区域内存在匀强磁场,磁感应强度为B,在第Ⅰ、Ⅳ象限x<L区域内存在沿y轴负方向的匀强电场,电场强度大小为E;在x>L区域内存在垂直纸面向里、磁感应强度为B′的矩形匀强磁场,矩形的其中一条边在直线x=L上.一质量为m、电荷量为q的带正电粒子(不计粒子重力)从第Ⅱ象限的正方形匀强磁场区域的上边界和左边界的交点处以沿y轴负方向的某一速度进入磁场区域,从坐标原点O沿x轴正方向射入匀强电场区域.
(1)求带电粒子射入第Ⅱ象限的匀强磁场时的速度大小;
(2)求带电粒子从匀强电场区域射出时的坐标;
(3)若带电粒子进入x>L区域的匀强磁场时速度方向与x轴正方向成45°角,要使带电粒子能够回到x<L区域,则x>L区域中匀强磁场的最小面积为多少?
(1)求带电粒子射入第Ⅱ象限的匀强磁场时的速度大小;
(2)求带电粒子从匀强电场区域射出时的坐标;
(3)若带电粒子进入x>L区域的匀强磁场时速度方向与x轴正方向成45°角,要使带电粒子能够回到x<L区域,则x>L区域中匀强磁场的最小面积为多少?
![](https://img.xkw.com/dksih/QBM/2018/6/22/1972512691847168/1973475257966592/STEM/b8c1a547-95e9-4f2a-9a8a-cf7c4decd4d3.png?resizew=333)
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【推荐2】如图所示,真空中某固定装置内,发射装置
(竖直、足够长)可持续向右侧各个方向发射质量为
、电荷量为
、速率为
的带电小微粒。紧邻
右侧至竖直板
间有一水平向左的匀强电场,
板与
间的电势差大小为
。与
板右侧相距
处有一竖直屏
,距
屏右侧
处的
为厚度不计的弹性固定挡板,其夹角
,
竖直,
。
板和
屏均足够长,电场范围足够大,小孔
、
与
等高且共线。某时刻,一微粒D恰好通过
点时,
屏右侧整个空间出现一垂直纸面向里的匀强磁场,微粒D与弹性挡板碰撞的时间不计,碰撞前、后瞬时,垂直挡板方向的速度大小不变、方向反向,平行挡板方向的速度不变。不考虑微粒和弹性挡板端点之间的碰撞、微粒之间的碰撞以及微粒间相互作用力,微粒重力不计。求:
(1)微粒通过
孔的速率
;
(2)微粒落在
屏上左侧最上端位置和最下端位置之间的距离
;
(3)若微粒D恰好与弹性挡板碰撞两次后第一次通过
点,求该匀强磁场的磁感应强度大小
,以及对应的微粒D从
点第一次运动到
点所经过的时间。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0363d58ecc0cdfbe3464076b8820e011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58888df91890a19a1aa7511d19703f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6c5ec685e8420a8672cefa43e45869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6c5ec685e8420a8672cefa43e45869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c751e24c12420c985115afc491429cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72bf0fce80daad394f2a9d013829c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59faf75f0c95312e556ae905b3ff5b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0fafa4453aa077d587e84d814cf15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6c5ec685e8420a8672cefa43e45869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac8a4086cd8af00e89c57fdfd905114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd72016a9855cbf0056ff732fe872612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6c5ec685e8420a8672cefa43e45869.png)
(1)微粒通过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac8a4086cd8af00e89c57fdfd905114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
(2)微粒落在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6c5ec685e8420a8672cefa43e45869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
(3)若微粒D恰好与弹性挡板碰撞两次后第一次通过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/c64c71ca-12ff-4300-b154-72048bce42cc.png?resizew=328)
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解答题
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较难
(0.4)
【推荐3】如图所示,在平面直角坐标系xoy中, x轴下方第三、四象限内有垂直平面向里的匀强磁场,x轴上方有一圆形边界匀强磁场(图中未画出),圆形有界磁场的磁感应强度是x轴下方磁场磁感应强度的4倍,一质量为m、电荷量为q的带电粒子从x轴上距离坐标原点L处的A点以速度v射入匀强磁场,速度方向与x轴夹角为θ=300,经磁场偏转后从x轴上距离坐标原点L处的B点射出匀强磁场,然后射入圆形磁场,恰好又能回到A点,以后周期性运动,不计重力,求:
(1)x轴下方磁场的磁感应强度大小;
(2)圆形有界磁场的最小半径;
(3)粒子运动周期T.
(1)x轴下方磁场的磁感应强度大小;
(2)圆形有界磁场的最小半径;
(3)粒子运动周期T.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/bdb9a770-0697-4219-91df-3f2132d047b1.png?resizew=228)
您最近一年使用:0次