当前位置:考试网  > 试卷库  > 学历类  > 成考  > 高升专/本  > 理科综合  > 如图甲所示,在xOy坐标平面的第一象限(包括x、y轴)内存在磁感应强度大小为Bo、方向垂直于xOy平面且随时间做周期性变化的匀强磁场,如图乙所示,规定垂直xOy平面向里的磁场方向为正。在y轴左侧有—对竖直放置的平行金属板M、N,两板间的电势差为Uo。一质量为m、电量为q的带正电粒子(重力和空气阻力均忽略不计),从贴近M板的中点无初速释放,通过N板小孔后从坐标原点O以某一速度沿x轴正方向垂直射入磁场中,经过一个磁场变化周期To(To未知)后到达第一象限内的某点P,此时粒子的速度方向恰好沿x轴正方向 (1)求粒子进入磁场作匀速圆周运动时的运动半径; (2)若粒子在t=0时刻从O点射入磁场中,求粒子在P点纵坐标的最大值ym及相应的磁场变化周期T0的值。
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如图甲所示,在xOy坐标平面的第一象限(包括x、y轴)内存在磁感应强度大小为Bo、方向垂直于xOy平面且随时间做周期性变化的匀强磁场,如图乙所示,规定垂直xOy平面向里的磁场方向为正。在y轴左侧有—对竖直放置的平行金属板M、N,两板间的电势差为Uo。一质量为m、电量为q的带正电粒子(重力和空气阻力均忽略不计),从贴近M板的中点无初速释放,通过N板小孔后从坐标原点O以某一速度沿x轴正方向垂直射入磁场中,经过一个磁场变化周期To(To未知)后到达第一象限内的某点P,此时粒子的速度方向恰好沿x轴正方向

(1)求粒子进入磁场作匀速圆周运动时的运动半径;

(2)若粒子在t=0时刻从O点射入磁场中,求粒子在P点纵坐标的最大值ym及相应的磁场变化周期T0的值。

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