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當前位置:考試網  > 試卷庫  > 學歷類  > 成考  > 高升專/本  >  如圖甲所示,在 xOy 坐標平面的第一象限(包括x、y 軸)內存在磁感應強度大小為 Bo 、方向垂直于 xOy 平面且隨時間做周期性變化的勻強磁場,如圖乙所示,規定垂直 xOy 平面向里的磁場方向為正。 在 y 軸左側有—對豎直放置的平行金屬板M 、N ,兩板間的電勢差為Uo 。一質量為 m、電量為 q 的帶正電粒子(重力和空氣阻力均忽略不計),從貼近 M 板的中點無初速釋放,通過N 板小孔后從坐標原點O 以某一速度沿x 軸正方向垂直射入磁場中,經過一個磁場變化周期To(To 未知)后到達第一象限內的某點 P,此時粒子的速度方向恰好沿x 軸正方向 (1)求粒子進入磁場作勻速圓周運動時的運動半徑; (2)若粒子在 t=0 時刻從 O 點射入磁場中, 求粒子在 P 點縱坐標的最大值y m 及相應的磁場變化周期 T0的值。
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如圖甲所示,在 xOy 坐標平面的第一象限(包括x、y 軸)內存在磁感應強度大小為 Bo 、方向垂直于 xOy 平面且隨時間做周期性變化的勻強磁場,如圖乙所示,規定垂直 xOy 平面向里的磁場方向為正。 在 y 軸左側有—對豎直放置的平行金屬板M 、N ,兩板間的電勢差為Uo 。一質量為 m、電量為 q 的帶正電粒子(重力和空氣阻力均忽略不計),從貼近 M 板的中點無初速釋放,通過N 板小孔后從坐標原點O 以某一速度沿x 軸正方向垂直射入磁場中,經過一個磁場變化周期To(To 未知)后到達第一象限內的某點 P,此時粒子的速度方向恰好沿x 軸正方向

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(1)求粒子進入磁場作勻速圓周運動時的運動半徑;

(2)若粒子在 t=0 時刻從 O 點射入磁場中, 求粒子在 P 點縱坐標的最大值y m 及相應的磁場變化周期 T0的值。

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