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带电粒子在有界磁场中偏转运动时,往往出现运动轨迹多样,因而可能存在多解,但这一点很容易被忽视.在一次模拟考试中,有这样一道题目:如图所示,直线MN下方无磁场,上方空间存在两个匀强磁场,其分界线是边长为a的正方形,内外的磁场方向相反且垂直于纸面,磁感应强度大小都为B.现有一质量为m电荷量为q的带负电微粒从P点沿边长向左侧射出,要求微粒始终做曲线运动并最终打到Q点,不计微粒的重力,外部磁场范围足够大.求:从P点到Q点,微粒的运动速度大小及运动时间.
Charged particles in the magnetic fields in the deflection of the movement, there is often a variety of trajectories, and therefore there may be multiple solutions, but this can easily be overlooked in a simulation test, there is such a problem: As shown, below the line MN There is no magnetic field, there are two uniform magnetic fields in the upper space, and the dividing line is a square with a side length of a. The direction of the magnetic field inside and outside is opposite and perpendicular to the plane of paper, the magnitude of the magnetic induction is B. Existing mass m is q Of negatively charged particles from the P point along the length of the left side of the injection, requires the particles to always do the curve and eventually hit the Q point, regardless of the particle gravity, the external magnetic field range is large enough. Speed and movement time.