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Charged ball moving in a uniform magnetic field case


Xiaodong (Qingdao Education Fu Yu 266071 ) off ~: o4; -33 Xian Xian Qi A standard fixed code: '. ' Figure l are not a mass m, charged to + q small plastic ball, around a large enough uniform magnetic field , asking how the movement of the ball , the ball is possible for the case of uniform linear motion ? . In order to accurately analyze the movement of the ball in the. Point to establish the coordinate system shown in Figure 2 . According to Newton's second law , we can see the movement of the ball differential equations : chip = iv ') Lu = cap an initial condition : = ooyo = 0dx. ,-O 'y = 0' =. Order ∞: there : O3 from 0 starts to fall into eight by the rest range dxdrdtgt一0) d2 a -7gro - f. D ~ X = g under the differential d2__Z2 + k2y:,) ( which threat. ) general solution ' Received: 2000.05.10 store 2 (3 ) (4 ) (5 ) (6) Cooking to 138 of Qingdao University Volume 13 y ---- & COS + flsinkx to £/(,) sin (kx-) solutions of equation ( 5) , (6) was : t-sino ~ t) (730) I ( BU c0) ( . ) Therefore , the ball 's trajectory is cycloidal plane XOY . By ( 3), ( 7 ), ( 8 ), we have : = 2gY (9) 々 (9) Medium -o. The maximum value obtained when = 2g f] where the small ball to the lowest point m, the corresponding value : ... . s friend [] = 2 ∞ g;. Hu f; s. Xun hydrazine -o-==: 4. According to (4) , the ball from 0:00 to m when the break point as f: a 2; 5. According to (5) ,: : Mandarin Duck . Based on the above 1.2.3. Point results from the mechanical point of view, even though the ball point in the nl -o, but in the pier ,[link widoczny dla zalogowanych], ld2y] a , also delete, save the ball straight at the m is the Lorentz force of gravity on a double , a small After the ball is in m points along the X direction of the movement can not be uniform linear MOTIONOFCHARGEDSMALLBALLINUNIFORMMAGNETICFIELDZHOUXiao-dong (EdueationCollegeinQingdao, Qingdao266071) Keywords: chargedball; nlagneticfield; teaching