Question

10£®Èçͼ¼×£¬¹Ì¶¨Ôڹ⻬ˮƽÃæÉϵÄÕýÈý½ÇÐνðÊôÏß¿ò£¬ÔÑÊýn=20£¬×ܵç×èR=2.5¦¸£¬±ß³¤L=0.3m£¬´¦ÔÚÁ½¸ö°ë¾¶¾ùΪr=$\frac{L}{3}$µÄÔ²ÐÎÔÈÇ¿´Å³¡ÇøÓòÖУ®Ïß¿ò¶¥µãÓëÓÒ²àÔ²ÖÐÐÄÖغϣ¬Ïß¿òµ×±ßÖеãÓë×ó²àÔ²ÖÐÐÄÖغϣ®´Å¸ÐӦǿ¶ÈB₁´¹Ö±Ë®Æ½ÃæÏòÍ⣬´óС²»±ä£»B₂´¹Ö±Ë®Æ½ÃæÏòÀ´óСËæʱ¼ä±ä»¯£¬B₁¡¢B₂µÄÖµÈçͼÒÒËùʾ£®£¨¦ÐÈ¡3£©£¨¡¡¡¡£©

• A£® t=0ʱ¿Ì´©¹ýÏß¿òµÄ´ÅͨÁ¿Îª0.1Wb
• B£® ͨ¹ýÏß¿òÖиÐÓ¦µçÁ÷·½ÏòΪÄæʱÕë·½Ïò
• C£® ÔÚt=0.6sÄÚͨ¹ýÏß¿òÖеĵçÁ¿Îª0.12C
• D£® ¾­¹ýt=0.6sÏß¿òÖвúÉúµÄÈÈÁ¿Îª0.08J

Answer 1

·ÖÎö ÏÈÅжϺϴÅͨÁ¿µÄ±ä»¯£¬ÔÙÓÉÀã´Î¶¨ÂÉÅжÏÏß¿òÖиÐÓ¦µçÁ÷µÄ·½Ïò£»Í¨¹ý´ÅͨÁ¿µÄ¹«Ê½¼ÆËã³öt=0ʱµÄ´ÅͨÁ¿£»ÓɵçÁ¿¼ÆË㹫ʽÇó³ö0-0.6sÄڵĵçÁ¿£¬ÀûÓý¹¶ú¶¨ÂÉÇó³öÔÚ0-0.6sÄÚÏß¿ò²úÉúµÄÈÈÁ¿£®

½â´ð ½â£ºA¡¢t=0ʱ¿Ì£¬ÏòÍâµÄ´ÅͨÁ¿Îª£º${¦µ}_{1}^{\;}={B}_{1}^{\;}\frac{¦Ð{r}_{\;}^{2}}{2}=-1¡Á\frac{¦Ð}{2}¡Á0£®{1}_{\;}^{2}=-\frac{¦Ð}{200}Wb$
ÏòÀïµÄ´ÅͨÁ¿Îª£º${¦µ}_{2}^{\;}={B}_{2}^{\;}\frac{¦Ð{r}_{\;}^{2}}{6}=2¡Á\frac{¦Ð}{6}¡Á0£®{1}_{\;}^{2}=\frac{¦Ð}{300}Wb$
ËùÒÔt=oʱ¿Ì´©¹ýÏß¿òµÄ´ÅͨÁ¿Îª£º¦µ=${¦µ}_{1}^{\;}+{¦µ}_{2}^{\;}=-\frac{¦Ð}{600}Wb$=$-\frac{1}{200}Wb$£¬¹ÊA´íÎó£»
B¡¢¸ù¾ÝÀã´Î¶¨ÂÉ£¬ºÏ´ÅͨÁ¿ÏÈÏòÀï¼õÉÙ£¬¸ÐÓ¦µçÁ÷ÄæʱÕë·½Ïò£»ºóÀ´ºÏ´ÅͨÁ¿ÏòÀïÔö´ó£¬ÓÉÀã´Î¶¨ÂÉ£¬¸ÐÓ¦µçÁ÷ÄæʱÕ룬ËùÒÔͨ¹ýÏß¿òÖиÐÓ¦µçÁ÷ÑØÄæʱÕë·½Ïò£¬¹ÊBÕýÈ·£»
C¡¢t=0.6sʱ£¬ÓУº${¦µ}_{3}^{\;}={B}_{2}^{\;}\frac{¦Ð}{6}{r}_{\;}^{2}=5¡Á\frac{¦Ð}{6}¡Á0£®{1}_{\;}^{2}=\frac{5¦Ð}{600}Wb$
t=0.6sʱ¿Ì´©¹ýÏß¿òµÄ´ÅͨÁ¿Îª£º$¦µ¡ä={¦µ}_{1}^{\;}+{¦µ}_{3}^{\;}=\frac{1}{100}Wb$
t=0.6sÄÚͨ¹ýÏß¿òµÄµçÁ¿£¬¸ù¾Ý¹«Ê½$q=n\frac{¡÷¦µ}{R+r}=20¡Á\frac{\frac{3}{200}}{2.5}=0.12C$£¬¹ÊCÕýÈ·£»
D¡¢¸ÐÓ¦µç¶¯ÊÆΪ£º$E=n\frac{¡÷¦µ}{¡÷t}=20¡Á\frac{\frac{3}{200}}{0.6}=0.5V$
¸ÐÓ¦µçÁ÷Ϊ£º$I=\frac{E}{R}=\frac{0.5}{2.5}A=0.2A$
Ïß¿ò²úÉúµÄ½¹¶úÈÈΪ£º$Q={I}_{\;}^{2}Rt=0£®{2}_{\;}^{2}¡Á2.5¡Á6=0.06J$£¬¹ÊD´íÎó£»
¹ÊÑ¡£ºBC

µãÆÀ ±¾ÌâµÄ¹Ø¼üÊÇÕÒµ½Í¨¹ýÏßȦµÄºÏ´ÅͨÁ¿ÔõÑù±ä»¯£¬ÔÙÀûÓôÅͨÁ¿¹«Ê½¡¢½¹¶ú¶¨ÂÉÇó½â£®