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“典例问答”栏目将不定期剖析典型问题，把最本质的方法与规律呈现给读者。欢迎大家关注“因物悦理”，我将持续分享高中物理的干货哟。问：力的分解具有任意性，为啥又要沿力的效果分解呢？产生这样的疑惑，多半是被下面的问题给折磨的。力分解的任意性vs按...

高中物理

赞同0  712浏览  0评论 music 2022-05-25 18:55

长尾科技 发起了提问 2022-06-07 11:23 相对论: 问答如何看待布莱恩·格林的《宇宙的琴弦》？

格林的《宇宙的琴弦》是超弦理论的经典科普书，但它在前面也会科普相对论相关的内容。此问题隶属于更高层级的问题《相对论的【学习路径图】是什么样的？如何系统地学习相对论？》，属于相对论学习路径图的一部分。大家可以在这里讨论这两篇文章的相关内容，也可以去更高层级的问题讨论相对论的学习路径图。上层链接：相对论...; 关注问题 1 0人感谢 0评论

xiaohei_AWM 发起了提问 2022-06-07 23:30 物理: 问答液氮在相变过程中发生二次沸腾的原因？

将铜棒置入液氮中会使液氮发生沸腾，沸腾会产生大量气泡在铜棒表面形成气泡层阻隔传热（莱顿弗洛斯特效应），如何研究该现象？; 关注问题 1 0人感谢 0评论

文章光学前沿—光子纳米喷射

光子纳米喷射写在前面的话本文译自Alexander Heifetz等所撰写的Photonic Nanojets一文，文章发表在Journal of Computational and Theoretical Nanoscience, 200...

光子光学物理

赞同0  943浏览  0评论 redcrag 2022-06-06 00:04

文章为什么电场强度的大小与电势的高低没有关系？

“典例问答”栏目将不定期剖析典型问题，把最本质的方法与规律呈现给读者。欢迎大家关注“因物悦理”，我将持续分享高中物理的干货哟。问：在静电场中某点，为什么场强大小与该点的电势大小没有关系呢？场强和电势都是描述电场特点的物理量，但是它俩之间的大...

物理电势电场

赞同1  999浏览  0评论 music 2022-05-29 20:24

文章如何理解麦克斯韦方程中的不对称性

物理 麦克斯韦方程组

赞同1  964浏览  0评论 yubr 2022-05-23 00:01

文章邮箱帐号绑定微信

手机端访问悟理知识平台，可以关注公众号“悟理wuphys”，或者直接用浏览器访问 http://www.wuphys.com微信关注公众号后，点击“知识平台”按钮，即可访问。但登录时，如您的微信未绑定账号，将提示“您的微信未绑定悟理账号”。...

站务

赞同0  839浏览  1评论 林威 2022-05-08 23:40

文章有史以来最伟大的方程

有史以来最伟大的方程写在前面的话本文译自Robert P Crease所撰写的The greatest equations ever一文，发表在Physics World, 2004, 17(10):14–15上，为同年5月份作者请读者为...

物理

赞同2  843浏览  0评论 redcrag 2022-06-06 00:08

文章相对论前夜：牛顿和麦克斯韦的战争

为了给狭义相对论作铺垫，我专门写了三篇麦克斯韦方程组的文章，为了让中小学生能更好理解麦克斯韦方程组，我又补了一篇微积分，现在终于可以正式谈狭义相对论了。为什么讲狭义相对论要先讲电磁理论呢？爱因斯坦发表狭义相对论的论文叫《论动体的电动力学》...

狭义相对论 相对论

赞同1  783浏览  0评论 长尾科技 2022-05-16 17:24

文章什么是高中物理？

很多同学初中时很喜欢物理，觉得物理很简单也很有意思。但一到高中就感觉跟不上了，感觉跟自己以前认识的物理不是一个东西，不再那么直观，也不再那么简单有趣。于是，在一些可以自由选择高考科目的地方，大量考生纷纷放弃物理，“弃考物理”曾一度成为热门话...

中学物理 高中物理

赞同0  803浏览  0评论 长尾科技 2022-05-16 17:24

文章见证奇迹的时刻：如何从麦克斯韦方程组推出电磁波？

在前两篇文章里，长尾君给大家介绍了麦克斯韦方程组的积分和微分形式。大家也都知道麦克斯韦从这套方程组里推导出了电磁波，然后通过计算发现电磁波的速度正好等于光速。于是，麦克斯韦就预言“光是一种电磁波”，这个预言后来被赫兹证实。电磁波的发现让麦克...

电动力学 狭义相对论 麦克斯韦方程组

赞同0  759浏览  0评论 长尾科技 2022-05-16 17:24

文章洛伦兹力对运动电荷不做功，为啥安培力却可以对通电导线做功？

“典例问答”栏目将不定期剖析典型问题，把最本质的方法与规律呈现给读者。欢迎大家关注“因物悦理”，我将持续分享高中物理的干货哟。问：洛伦兹力对运动电荷不做功的特点是显而易见的，安培力的微观解释又是大量运动电荷所受洛伦兹力的合力，然而安培力却可...

高中物理 物理

赞同1  1031浏览  0评论 music 2022-05-28 14:40

长尾科技 发起了提问 2022-06-07 10:26 相对论: 问答如何看待长尾科技关于相对论历史的两篇文章（相对论前夜和诞生篇）？

长尾科技的两篇关于相对论的历史的文章：1、相对论前夜：牛顿和麦克斯韦的战争（1.7万字）2、相对论诞生：爱因斯坦是如何创立狭义相对论的？| 主线（3.3万字）此问题隶属于更高层级的问题《相对论的【学习路径图】是什么样的？如何系统地学习相对论？》，属于相对论学习路径图的一部分。...; 关注问题 1 0人感谢 0评论

文章欧姆定律为什么不适用于转动的电动机？

“典例问答”栏目将不定期剖析典型问题，把最本质的方法与规律呈现给读者。欢迎大家关注“因物悦理”，我将持续分享高中物理的干货哟。问：直流电动机的构造其实就是一个金属框，按说和金属导体没啥区别。可是为什么电动机转动的时候不能使用欧姆定律呢？在高...

物理 欧姆定律

赞同1  977浏览  0评论 music 2022-05-29 00:47

长尾科技 发起了提问 2022-06-07 10:29 相对论: 问答如何看待长尾科技的《你也能懂的质能方程E=mc²》？

长尾科技科技关于质能方程的文章：《你也能懂的质能方程E=mc²》（2.1万字）此问题隶属于更高层级的问题《相对论的【学习路径图】是什么样的？如何系统地学习相对论？》，属于相对论学习路径图的一部分。大家可以在这里讨论这两篇文章的相关内容，也可以去更高层级的问题讨论相对论的学习路径图。上层链接：相对论的...; 关注问题 1 0人感谢 0评论

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CONNECT:[ UseTime:0.000449s ] mysql:host=127.0.0.1;port=3306;dbname=wuphysthink;charset=utf8mb4
SHOW FULL COLUMNS FROM `aws_hook_plugins` [ RunTime:0.000572s ]
SELECT `hook`,`plugins` FROM `aws_hook_plugins` WHERE `status` = 1 ORDER BY `sort` DESC [ RunTime:0.000305s ]
SHOW FULL COLUMNS FROM `aws_config` [ RunTime:0.000625s ]
SELECT * FROM `aws_config` [ RunTime:0.000433s ]
SHOW FULL COLUMNS FROM `aws_forbidden_ip` [ RunTime:0.000569s ]
SELECT `ip` FROM `aws_forbidden_ip` [ RunTime:0.000184s ]
SHOW FULL COLUMNS FROM `aws_admin_group` [ RunTime:0.000456s ]
SELECT `permission` FROM `aws_admin_group` WHERE `id` = 5 LIMIT 1 [ RunTime:0.000273s ]
SHOW FULL COLUMNS FROM `aws_users_online` [ RunTime:0.000447s ]
DELETE FROM `aws_users_online` WHERE `last_login_time` < 1746491900 [ RunTime:0.002716s ]
SHOW FULL COLUMNS FROM `aws_menu_rule` [ RunTime:0.000499s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'nav' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000318s ]
SELECT * FROM `aws_menu_rule` WHERE `status` = 1 AND `group` = 'footer' ORDER BY `sort` ASC,`id` ASC [ RunTime:0.000325s ]
SHOW FULL COLUMNS FROM `aws_links` [ RunTime:0.000435s ]
SELECT * FROM `aws_links` WHERE `status` = 1 [ RunTime:0.000257s ]
SHOW FULL COLUMNS FROM `aws_post_relation` [ RunTime:0.000546s ]
SELECT COUNT(*) AS think_count FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') LIMIT 1 [ RunTime:0.000318s ]
SELECT `id`,`item_id`,`item_type`,`uid` FROM `aws_post_relation` WHERE `item_type` IN ('question','article','') ORDER BY RAND(),`is_recommend` DESC LIMIT 45,15 [ RunTime:0.000392s ]
SHOW FULL COLUMNS FROM `aws_question` [ RunTime:0.000554s ]
SELECT `last_answer` FROM `aws_question` WHERE `id` IN (28,34,22,23) AND `status` = 1 [ RunTime:0.000301s ]
SHOW FULL COLUMNS FROM `aws_answer` [ RunTime:0.000492s ]
SELECT * FROM `aws_answer` WHERE `status` = 1 AND `id` = 0 [ RunTime:0.000283s ]
SHOW FULL COLUMNS FROM `aws_topic_relation` [ RunTime:0.000429s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (28,34,22,23) AND `item_type` = 'question' [ RunTime:0.000353s ]
SHOW FULL COLUMNS FROM `aws_topic` [ RunTime:0.000454s ]
SELECT * FROM `aws_topic` WHERE `id` IN (18,2) [ RunTime:0.000288s ]
SELECT * FROM `aws_question` WHERE `status` = 1 AND `id` IN (28,34,22,23) [ RunTime:0.000656s ]
SELECT `topic_id`,`item_type`,`item_id` FROM `aws_topic_relation` WHERE `item_id` IN (39,70,53,33,2,71,15,10,14,47,51) AND `item_type` = 'article' [ RunTime:0.000528s ]
SELECT * FROM `aws_topic` WHERE `id` IN (5,26,27,30,19,29,2,69,72,55,18,81,80) [ RunTime:0.000362s ]
SHOW FULL COLUMNS FROM `aws_article` [ RunTime:0.000773s ]
SELECT * FROM `aws_article` WHERE `status` = 1 AND `id` IN (39,70,53,33,2,71,15,10,14,47,51) [ RunTime:0.005601s ]
SHOW FULL COLUMNS FROM `aws_users` [ RunTime:0.001201s ]
SELECT `uid`,`nick_name`,`user_name`,`salt`,`email`,`mobile`,`sex`,`is_first_login`,`inbox_unread`,`notify_unread`,`fans_count`,`friend_count`,`available_invite_count`,`is_valid_email`,`is_valid_mobile`,`integral`,`reputation`,`reputation_update_time`,`avatar`,`signature`,`verified`,`group_id`,`integral_group_id`,`reputation_group_id`,`last_login_time`,`last_login_ip`,`reg_ip`,`money`,`frozen_money`,`deal_password`,`birthday`,`url_token`,`views_count`,`agree_count`,`question_count`,`answer_count`,`article_count`,`draft_count`,`topic_focus_count`,`column_count`,`extend`,`status`,`theme`,`create_time`,`update_time` FROM `aws_users` WHERE `status` = 1 AND `uid` IN (65,5,138,56,55,1) [ RunTime:0.000519s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000268s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 1 LIMIT 1 [ RunTime:0.000212s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000236s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 5 LIMIT 1 [ RunTime:0.000202s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000218s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 55 LIMIT 1 [ RunTime:0.000201s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000203s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 56 LIMIT 1 [ RunTime:0.000194s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000194s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 65 LIMIT 1 [ RunTime:0.000201s ]
SELECT `last_login_time` FROM `aws_users_online` WHERE `uid` = 138 LIMIT 1 [ RunTime:0.000205s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 138 LIMIT 1 [ RunTime:0.000194s ]
SHOW FULL COLUMNS FROM `aws_article_vote` [ RunTime:0.000460s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 39 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000303s ]
SHOW FULL COLUMNS FROM `aws_question_vote` [ RunTime:0.000481s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 28 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000263s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 34 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000251s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 70 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000294s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 53 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000316s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 33 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000293s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 2 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000248s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 71 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000274s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 15 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000285s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 10 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000262s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 14 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000262s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 47 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000287s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 22 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000242s ]
SELECT `vote_value` FROM `aws_article_vote` WHERE `uid` = 0 AND `item_id` = 51 AND `item_type` = 'article' LIMIT 1 [ RunTime:0.000251s ]
SELECT `vote_value` FROM `aws_question_vote` WHERE `uid` = 0 AND `item_id` = 23 AND `item_type` = 'question' LIMIT 1 [ RunTime:0.000236s ]
SHOW FULL COLUMNS FROM `aws_announce` [ RunTime:0.000573s ]
SELECT * FROM `aws_announce` WHERE `status` = 1 ORDER BY `set_top_time` DESC,`sort` DESC LIMIT 0,3 [ RunTime:0.000280s ]
SELECT COUNT(*) AS think_count FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 LIMIT 1 [ RunTime:0.000381s ]
SELECT * FROM `aws_topic` WHERE `status` = 1 AND `discuss_month` > 0 ORDER BY RAND(),`top` DESC,`focus` DESC,`discuss_month` DESC LIMIT 0,5 [ RunTime:0.000676s ]
SHOW FULL COLUMNS FROM `aws_topic_focus` [ RunTime:0.000441s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 81 LIMIT 1 [ RunTime:0.000242s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 30 LIMIT 1 [ RunTime:0.000257s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 18 LIMIT 1 [ RunTime:0.000214s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 80 LIMIT 1 [ RunTime:0.000206s ]
SELECT `id` FROM `aws_topic_focus` WHERE `uid` = 0 AND `topic_id` = 40 LIMIT 1 [ RunTime:0.000220s ]
SHOW FULL COLUMNS FROM `aws_column` [ RunTime:0.000506s ]
SELECT * FROM `aws_column` WHERE `verify` = 1 ORDER BY RAND(),`view_count` DESC LIMIT 0,5 [ RunTime:0.000423s ]
SELECT * FROM `aws_users` WHERE `uid` <> 0 AND `status` = 1 AND `reputation` > 0 ORDER BY RAND(),`reputation` DESC,`answer_count` DESC LIMIT 5 [ RunTime:0.001001s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 90 LIMIT 1 [ RunTime:0.000236s ]
SHOW FULL COLUMNS FROM `aws_users_follow` [ RunTime:0.000400s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 90 LIMIT 1 [ RunTime:0.000230s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 15 LIMIT 1 [ RunTime:0.000236s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 15 LIMIT 1 [ RunTime:0.000215s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 5 LIMIT 1 [ RunTime:0.000237s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 87 LIMIT 1 [ RunTime:0.000203s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 87 LIMIT 1 [ RunTime:0.000242s ]
SELECT `user_name`,`url_token` FROM `aws_users` WHERE `uid` = 9 LIMIT 1 [ RunTime:0.000220s ]
SELECT `id` FROM `aws_users_follow` WHERE `fans_uid` = 9 LIMIT 1 [ RunTime:0.000226s ]

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