Question

1£®ÖÊÆ×ÒÇÊÇÒ»ÖÖ²â´øµçÁ£×ÓÖÊÁ¿ºÍ·ÖÎöͬλËصÄÖØÒª¹¤¾ß£¬ÈçͼËùʾΪһÖÖÖÊÆ×ÒǵÄÔ­ÀíʾÒâͼ£¬Á£×ÓÔ´²úÉúµÄµçºÉÁ¿ÎªqµÄÕýÀë×Ó£¬Æ®Èë¼ÓËٵ糡¼ÓËٺ󣬸պÃÑØÖ±Ïßͨ¹ýËÙ¶ÈÑ¡ÔñÆ÷£¬Í¨¹ýÏÁ·ìOÑØ´¹Ö±´Å³¡µÄ·½Ïò½øÈëƫת´Å³¡£¬²¢´òÔÚµ×ƬÉϵÄÖеãP´¦£¬ÒÑÖªËÙ¶ÈÑ¡ÔñÆ÷Öе糡ǿ¶ÈΪE£¬´Å¸ÐӦǿ¶ÈΪB₁£¬Æ«×ª´Å³¡´Å¸ÐӦǿ¶ÈΪB₀£¬·ÅÖõ×ƬµÄÇøÓòMN=L£¬ÇÒON=L£¬²»¿¼ÂÇÀë×ÓµÄÖØÁ¦ºÍ½øÈë¼ÓËٵ糡ǰµÄ³õËٶȣ®
£¨1£©ÇóÀë×ÓµÄÖÊÁ¿mºÍ¼ÓËٵ糡µÄµçѹU£»
£¨2£©Ö»¸Ä±äƫת´Å³¡´Å¸ÐӦǿ¶ÈµÄ´óС£¬¿Éµ÷½ÚÀë×Ó´òÔÚµ×ƬÉϵÄλÖã¬ÎªÊ¹Àë×Ó´òÔÚµ×ƬÉÏ£¬Çóƫת´Å³¡´Å¸ÐӦǿ¶ÈµÄµ÷½Ú·¶Î§£¨ÓÃB₀±íʾ£©

Answer 1

·ÖÎö £¨1£©¸ù¾Ýµç³¡Á¦µÈÓÚÂåÂ××ÈÁ¦Ê±£¬Àë×Ó²ÅÄÜÑØ×ÅÖ±Ïß´©¹ýËÙ¶ÈÑ¡ÔñÆ÷£¬´Ó¶ø¿ÉÇó³ö½øÈëËÙ¶ÈÑ¡ÔñÆ÷µÄËٶȣ¬Àë×Ó½øÈë´Å³¡ºó×öÔÈËÙÔ²ÖÜÔ˶¯¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉ£¬´Ó¶øÇó³ö¼ÓËÙµçѹºÍÖÊÁ¿£»
£¨2£©ÔÚƫת´Å³¡ÖУ¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨Âɼ´¿ÉÇóµÃ

½â´ð ½â£º£¨1£©Àë×Ó¾­µçѹΪUµÄµç³¡¼ÓËÙ£¬
Óɶ¯Äܶ¨ÀíµÃ$qU\\;=\frac{1}{2}m{v}^{2}$=$\frac{1}{2}m{v}^{2}$ ¢Ù
Àë×ÓÔÚËÙ¶ÈÑ¡ÔñÆ÷ÖÐqE=qvB₁¢Ú
Àë×Ó½øÈë´Å³¡ºó×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÓÉÅ£¶ÙµÚ¶þ¶¨ÂɵÃ$qv{B}_{0}=\frac{m{v}^{2}}{R}$¢Û
Óɼ¸ºÎ¹ØϵµÃ$\frac{3}{2}L=2R$¢Ü
ÁªÁ¢¢Ú¢Û¢Ü½âµÃ$m=\frac{3q{B}_{1}{B}_{0}L}{4E}$
´úÈë¢Ù£¬ÁªÁ¢¢Ú½âµÃ$U=\frac{3{B}_{0}EL}{8{B}_{1}}$
£¨2£©ÒªÊ¹Àë×Ó´òÔÚµ×ƬÉÏ£¬¼´L¡Ü2R¡Ü2L
ÓÉ¢ÛʽµÃRºÍB³É·´±È£¬¹Ê$\frac{3}{4}{B}_{0}¡ÜB¡Ü\frac{3}{2}{B}_{0}$
´ð£º£¨1£©Àë×ÓµÄÖÊÁ¿mΪ$\frac{3q{B}_{1}{B}_{0}L}{4E}$£¬¼ÓËٵ糡µÄµçѹUΪ$\frac{3{B}_{0}EL}{8{B}_{1}}$£»
£¨2£©Ö»¸Ä±äƫת´Å³¡´Å¸ÐӦǿ¶ÈµÄ´óС£¬¿Éµ÷½ÚÀë×Ó´òÔÚµ×ƬÉϵÄλÖã¬ÎªÊ¹Àë×Ó´òÔÚµ×ƬÉÏ£¬Æ«×ª´Å³¡´Å¸ÐӦǿ¶ÈµÄµ÷½Ú·¶Î§$\frac{3}{4}{B}_{0}¡ÜB¡Ü\frac{3}{2}{B}_{0}$

µãÆÀ ¿¼²éÀë×ÓÔÚ¼ÓËٵ糡ÖÐ×ö¼ÓËÙÔ˶¯£¬Ôڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬Ñ§»á¶ÔÀë×ÓÊÜÁ¦·ÖÎö£¬ÕÆÎÕƽºâÌõ¼þ£¬Àí½âÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦µÄÌõ¼þÓëÓ¦Óã¬ÕÆÎÕÅ£¶ÙµÚ¶þ¶¨ÂÉÓ뼸ºÎ¹Øϵ×ÛºÏÓ¦ÓÃ