{"id":43179,"date":"2026-03-12T16:37:27","date_gmt":"2026-03-12T08:37:27","guid":{"rendered":"https:\/\/www.qiusir.com\/?p=43179"},"modified":"2026-03-16T16:18:52","modified_gmt":"2026-03-16T08:18:52","slug":"%e7%94%b5%e5%ad%90%e6%84%9f%e5%ba%94%e5%8a%a0%e9%80%9f%e5%99%a8","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=43179","title":{"rendered":"\u7535\u5b50\u611f\u5e94\u52a0\u901f\u5668"},"content":{"rendered":"<p>JQX\/\u8fdb\u53d6\u82af \u5e2d\u660e\u7eb3\u7b2c25\u671f\uff082026.01.16\uff09<br \/>\n<center><img decoding=\"async\" src=\"https:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/20260116jqx25.jpeg\" alt=\"\" width=\"580\"><br \/>\u7535\u5b50\u611f\u5e94\u52a0\u901f\u5668<br \/><img decoding=\"async\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/MPO\/Jinqc.jpeg\" alt=\"\" width=\"70\"><br \/>JQX|Jin<\/center><\/p>\n<p>\u4e00\u3001\u611f\u751f\u7535\u573a<br \/>\n\u6211\u4eec\u8ba8\u8bba\u78c1\u573a\u8303\u56f4\u4e3a\u5706\u5f62\u7684\u5747\u5300\u53d8\u5316\u7684\u5300\u5f3a\u78c1\u573a\uff08$B=B_{0}+kt$\uff09\uff0c\u6240\u4ea7\u751f\u7684\u7535\u573a\u5927\u5c0f\u3002\u7531\u4e8e\u4ea7\u751f\u611f\u5e94\u7535\u573a\u7ebf\u662f\u4ee5\u5706\u5fc3\u4e3a\u4e2d\u5fc3\u7684\u540c\u5fc3\u5706\uff0c\u5927\u5c0f\u4e0d\u53d8\uff0c\u6ee1\u8db3\u8f74\u5bf9\u79f0\u6027\u6761\u4ef6\uff0c\u6b64\u65f6\u7535\u573a\u5f3a\u5ea6\u4ec5\u4e0e\u5f84\u5411\u8ddd\u79bb$r$\u6709\u5173\u3002\u5728\u534a\u5f84\u4e3a$r$\u7684\u5706\u5468\u4e0a\uff0c\u5e94\u7528\u6cd5\u62c9\u7b2c\u7535\u78c1\u611f\u5e94\u5b9a\u5f8b\u53ef\u5f97\uff1a$\\oint \\vec{E} \\cdot d\\vec{l} = -\\frac{d\\Phi_B}{dt}$\uff0c\u5176\u4e2d\u78c1\u901a\u91cf\u53d8\u5316\u7387\u5747\u5300\uff0c\u6545\u6709$E \\cdot 2\\pi r = \\pi r^{2} \\cdot \\frac{dB}{dt}$\uff08\u5f53$r \\leq R$\u65f6\uff09\uff0c\u89e3\u5f97$E = \\frac{kr}{2}$\uff0c\u7535\u573a\u5927\u5c0f\u4e0e$r$\u6210\u6b63\u6bd4\u3002<\/p>\n<p>\u5f53$r &gt; R$\u65f6\uff0c\u78c1\u901a\u91cf$\\Phi_B$\u4ec5\u5728\u534a\u5f84$R$\u8303\u56f4\u5185\u53d8\u5316\uff0c\u6b64\u65f6\u6709$\\oint \\vec{E} \\cdot d\\vec{l} = -\\frac{d(\\pi R^{2}B)}{dt}$\uff0c\u53ef\u5f97$E \\cdot 2\\pi r = \\pi R^{2} \\cdot \\frac{dB}{dt}$\uff0c\u89e3\u5f97$E = \\frac{kR^{2}}{2r}$\uff0c\u7535\u573a\u5927\u5c0f\u4e0e$r$\u6210\u53cd\u6bd4\u3002<\/p>\n<p>\u7531\u6b64\u53ef\u89c1\uff0c\u611f\u5e94\u7535\u573a\u5f3a\u5ea6\u5728\u78c1\u573a\u533a\u57df\u5185\u90e8\u968f$r$\u7ebf\u6027\u589e\u5927\uff0c\u5728\u5916\u90e8\u5219\u6309\u53cd\u6bd4\u8870\u51cf\u3002<\/p>\n<p>\u4e8c\u3001\u611f\u5e94\u7535\u573a\u4e2d\u4e24\u70b9\u95f4\u7535\u52bf\u5dee<br \/>1\u3001\u95ed\u5408\u7ebf\u5708\u4efb\u610f\u4e24\u70b9\u95f4\u7535\u52bf\u5dee<\/p>\n<p>\u5728\u7a7a\u95f4\u4e2d\u5b58\u5728\u4e00\u4e2a\u5782\u76f4\u7eb8\u9762\u5411\u91cc\u7684\u78c1\u573a\uff0c\u5176\u78c1\u611f\u5e94\u5f3a\u5ea6 $B$ \u968f\u65f6\u95f4\u5747\u5300\u589e\u5f3a\uff0c\u53d8\u5316\u7387\u4e3a $\\frac{dB}{dt}=k$\uff08$k&gt;0$\uff09\u3002<\/p>\n<p>\u6211\u4eec\u5728\u8fd9\u4e2a\u78c1\u573a\u4e2d\u653e\u7f6e\u4e00\u4e2a\u534a\u5f84\u4e3a $r$ \u7684\u5706\u5f62\u5bfc\u7ebf\u7ebf\u5708\uff0c\u6839\u636e\u6cd5\u62c9\u7b2c\u7535\u78c1\u611f\u5e94\u5b9a\u5f8b\uff0c\u7ebf\u5708\u4e2d\u4ea7\u751f\u7684\u611f\u5e94\u7535\u52a8\u52bf\u5927\u5c0f\u4e3a $\\varepsilon = \\frac{\\Delta \\Phi}{\\Delta t} = \\pi r^{2} \\cdot \\frac{\\Delta B}{\\Delta t} = \\pi r^{2} k$\uff1b\u82e5\u7ebf\u5708\u603b\u7535\u963b\u4e3a $R$\uff0c\u6839\u636e\u6b27\u59c6\u5b9a\u5f8b\uff0c\u7ebf\u5708\u4e2d\u7684\u611f\u5e94\u7535\u6d41\u4e3a $I = \\frac{\\varepsilon}{R} = \\frac{\\pi r^{2} k}{R}$\u3002<\/p>\n<p>\u5728\u7ebf\u5708\u4e0a\u53d6\u4efb\u610f\u4e24\u70b9 $A$\u3001$C$\uff0c\u8bbe\u5b83\u4eec\u4e4b\u95f4\u7684\u5706\u5f27\u5bf9\u5e94\u7684\u5706\u5fc3\u89d2\u4e3a $\\theta$\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd9\u6bb5\u5706\u5f27\u770b\u4f5c\u201c\u7535\u6e90\u7684\u4e00\u90e8\u5206\u201d\uff0c\u5b83\u7684\u7535\u52a8\u52bf $\\varepsilon_{acb} = E_{i} \\cdot r\\theta = \\frac{\\theta}{2\\pi}\\varepsilon$\uff0c\u5373\u8fd9\u6bb5\u5f27\u7684\u7535\u52a8\u52bf\u662f\u6574\u4e2a\u7ebf\u5708\u7535\u52a8\u52bf\u7684 $\\frac{\\theta}{2\\pi}$ \u500d\uff1b\u540c\u65f6\uff0c\u7531\u4e8e\u7ebf\u5708\u7535\u963b\u5747\u5300\u5206\u5e03\uff0c\u8fd9\u6bb5\u5706\u5f27\u7684\u7535\u963b\u4e5f\u662f\u603b\u7535\u963b\u7684 $\\frac{\\theta}{2\\pi}$ \u500d\uff0c\u5373 $R_{1} = \\frac{\\theta}{2\\pi}R$\u3002<\/p>\n<p>\u6839\u636e\u6b27\u59c6\u5b9a\u5f8b\uff0c$B$\u3001$A$ \u4e24\u70b9\u95f4\u7684\u7535\u538b $U_{ba} = \\varepsilon_{acb} &#8211; I R_{1}$\uff0c\u4ee3\u5165 $\\varepsilon_{acb}$ \u548c $R_{1}$ \u7684\u8868\u8fbe\u5f0f\u540e\uff0c\u53ef\u5f97\u5230 $U_{ba}=0$\uff0c\u8fd9\u8bf4\u660e\u5728\u8fd9\u4e2a\u95ed\u5408\u7684\u5747\u5300\u7ebf\u5708\u4e0a\uff0c\u4efb\u610f\u4e24\u70b9\u95f4\u7684\u7535\u538b\u90fd\u662f0\uff0c\u56e0\u4e3a\u7ebf\u5708\u65e2\u662f\u7535\u6e90\u4e5f\u662f\u7535\u963b\uff0c\u5176\u5185\u90e8\u7684\u7535\u538b\u964d\u548c\u7535\u52a8\u52bf\u521a\u597d\u76f8\u4e92\u62b5\u6d88\u3002<\/p>\n<p>2\u3001\u53d8\u5316\u78c1\u573a\u4e2d\u4efb\u610f\u4e24\u70b9\u7535\u52bf\u5dee<br \/>\u5728\u9759\u7535\u573a\u4e2d\uff0c\u4e24\u70b9\u7684\u7535\u52bf\u5dee\u5b9a\u503c\uff0c\u4e0e\u8def\u5f84\u65e0\u5173\u3002\u800c\u5728\u611f\u751f\u7535\u573a\u4e2d\uff0c\u8fd9\u4e2a\u60c5\u51b5\u51fa\u73b0\u53d8\u5316\uff1a<br \/>\u5982\u56fe\uff0c\u6211\u4eec\u8003\u8651\u4e0d\u540c\u8def\u5f84\u4e0b\u4ece\u70b9 $A$ \u5230\u70b9 $B$ \u7684\u7535\u573a\u529b\u505a\u529f\uff0c\u8fdb\u800c\u6c42\u5f97\u7535\u52bf\u5dee\u3002<\/p>\n<p><img decoding=\"async\" class=\"framed\" src=\"https:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/jqx25-1.jpg\" alt=\"\" width=\"190\" align=\"right\" \/>\uff081\uff09\u5982\u679c\u6cbf\u7740\u8def\u5f841\uff0c\u7ecf\u8fc7\u5706\u5fc3O\u5230\u8fbeB\u70b9\uff0c\u65f6\u65f6\u523b\u523b\u4e0e\u7535\u573a\u5782\u76f4\uff0c\u505a\u529f\u4e3a\u96f6\uff0c\u6545\u7535\u52bf\u5dee\u4e5f\u4e3a0\u3002<br \/>\uff082\uff09\u6cbf\u8def\u5f842\uff0c\u5373\u6cbf\u76f4\u7ebf\u4ece\u76f4\u7ebf $A$ \u5230 $B$\uff0c\u8bbe AB \u957f\u4e3a $L$\uff0c\u4ece\u5706\u5fc3 O \u5230 AB \u7684\u4e2d\u5782\u7ebf OC \u957f\u4e3a $h$\u3002\u8bbe\u4efb\u610f\u4e00\u70b9P\uff0cOP \u4e0e\u4e2d\u5782\u7ebf OC \u7684\u5939\u89d2\u4e3a $\\theta$\uff0c\u8bb0 $OP=r$\uff0c\u5219 P \u70b9\u5904\u7684\u611f\u751f\u7535\u573a\u5927\u5c0f\u4e3a $E_{r}=\\frac{k}{2}r$\uff0c\u65b9\u5411\u5782\u76f4\u4e8e OP\uff0c\u56e0\u6b64\u8be5\u7535\u573a\u65b9\u5411\u4e0e AB \u4e5f\u6210 $\\theta$ \u89d2\u3002<br \/>\u6211\u4eec\u53d6 AB \u4e0a\u7684\u4e00\u5c0f\u6bb5\u5fae\u5143 $dl$\uff0c\u611f\u751f\u7535\u573a\u5bf9\u8bd5\u63a2\u7535\u8377 $q$ \u505a\u7684\u5143\u529f\u4e3a $dW_{e}=q\\vec{E} \\cdot d\\vec{l}=q\\frac{k}{2}r\\cos\\theta dl$\uff0c\u800c $r\\cos\\theta=h$\uff0c\u4e8e\u662f\u5143\u529f\u53ef\u7b80\u5316\u4e3a $dW_{e}=q\\frac{k}{2}h dl$\u3002\u5bf9\u6574\u4e2a AB \u6bb5\u79ef\u5206\u5f97\u5230\u603b\u529f $W_{e}=\\int dW_{e}=q\\frac{k}{2}h L$\u3002\u6839\u636e\u7535\u52bf\u5dee\u7684\u5b9a\u4e49 $U_{ab}=\\frac{W_{e}}{q}$\uff0c\u53ef\u5f97 A\u3001B \u4e24\u70b9\u95f4\u7684\u7535\u52bf\u5dee\u4e3a $U_{ab}=\\frac{k}{2}h L$\u3002<br \/>\u6ce8\u610f\u5230 $\\frac{1}{2}h L$ \u6070\u597d\u662f $\\triangle OAB$ \u7684\u9762\u79ef $S_{2}$\uff0c\u56e0\u6b64\u7535\u52bf\u5dee\u4e5f\u53ef\u4ee5\u5199\u6210 $U_{ab}=k S_{2}$\u3002<br \/>\uff083\uff09\u6cbf\u5706\u5f27\u8def\u5f843\uff0c\u8bbe\u4e24\u7aef\u70b9\u4e3a$A$\u3001$B$\uff0c\u5bf9\u5e94\u5706\u5fc3\u4e3a$O$\uff0c\u5706\u5f27\u6240\u5bf9\u5706\u5fc3\u89d2\u4e3a$\\theta$\uff0c\u5c06\u5176\u7f6e\u4e8e\u5782\u76f4\u7eb8\u9762\u5411\u91cc\u3001\u78c1\u611f\u5e94\u5f3a\u5ea6\u968f\u65f6\u95f4\u5747\u5300\u589e\u5f3a\uff08\u53d8\u5316\u7387$\\frac{dB}{dt}=k$\uff0c$k&gt;0$\uff09\u7684\u78c1\u573a\u4e2d\u3002<br \/>\u4e3a\u8ba1\u7b97$A$\u3001$B$\u4e24\u70b9\u95f4\u7684\u7535\u52bf\u5dee\uff0c\u53ef\u901a\u8fc7\u611f\u751f\u7535\u573a\u6cbf\u5706\u5f27\u8def\u5f84\u7684\u7ebf\u79ef\u5206\u63a8\u5bfc\uff1a\u53d6\u5706\u5f27\u4e0a\u4e00\u5fae\u5143$dl = r d\\theta&#8217;$\uff0c\u611f\u751f\u7535\u573a\u5bf9\u8bd5\u63a2\u7535\u8377$q$\u505a\u7684\u5143\u529f\u4e3a$dW = q\\vec{E_i} \\cdot d\\vec{l}$\uff0c\u56e0\u7535\u573a\u65b9\u5411\u4e0e\u5fae\u5143\u5207\u7ebf\u65b9\u5411\u4e00\u81f4\uff0c\u5373$dW = q \\cdot \\frac{kr}{2} \\cdot r d\\theta&#8217;$\u3002\u5bf9\u6574\u4e2a\u5706\u5f27\u8def\u5f84\u4ece$A$\u5230$B$\u79ef\u5206\uff0c\u79ef\u5206\u533a\u95f4\u4e3a$0$\u5230$\\theta$\uff0c\u603b\u529f$W = \\int_{0}^{\\theta} q \\cdot \\frac{kr^{2}}{2} d\\theta&#8217; = \\frac{qkr^{2}\\theta}{2}$\u3002<br \/>\u6839\u636e\u7535\u52bf\u5dee\u7684\u5b9a\u4e49\uff0c$U_{AB} = \\frac{W}{q} = \\frac{kr^{2}\\theta}{2}$\u3002\u540c\u65f6\uff0c\u7531\u4e8e$\\triangle OAB$\u7684\u9762\u79ef$S = \\frac{1}{2}r^{2}\\theta$\uff0c\u8be5\u7535\u52bf\u5dee\u4e5f\u53ef\u8868\u793a\u4e3a$U_{AB} = kS$\uff0c\u5373\u5706\u5f27\u4e24\u7aef\u7684\u7535\u52bf\u5dee\u7b49\u4e8e\u78c1\u573a\u53d8\u5316\u7387\u4e0e\u5706\u5f27\u6240\u56f4\u6247\u5f62\u9762\u79ef\u3002<br \/>\u8096\u8001\u5e08\u63d0\u4f9b\u4e86\u4e00\u4e2a\u7b80\u4fbf\u8bc1\u660e\u7684\u65b9\u6cd5\uff1a\u5229\u7528\u57fa\u5c14\u970d\u592b\u5b9a\u5f8b$\\oint \\vec{E} \\cdot d\\vec{l} = -\\frac{d\\Phi_B}{dt}$\uff0c\u6211\u4eec\u53ef\u4ee5\u53d6\u4efb\u4f55\u8def\u5f84\u548cOA\u3001OB\u56f4\u57ce\u7684\u56de\u8def\u8003\u8651\uff0c\u8fd9\u4e2a\u56de\u8def\u603b\u7535\u538b\u4e3a$\\frac{d\\Phi_B}{dt}$\uff0c\u800c$U_{OA}$\u548c$U_{OB}$\u4e3a0\uff0c\u6240\u4ee5\u603b\u7535\u538b\u5373\u4e3a$U_{AB}$\uff0c\u4e5f\u8bc1\u660e\u4e86$U_{AB} = kS$\u3002<\/p>\n<p>\u4e09\u3001\u7535\u5b50\u611f\u5e94\u52a0\u901f\u5668<br \/>\u9898\u76ee\uff1a\u5982\u56fe\u6240\u793a\uff0c\u4e00\u4e2a\u957f\u87ba\u7ebf\u7ba1\uff08\u534a\u5f84\u4e3a$2R$\uff09\u5185\u90e8\u540c\u8f74\u5957\u7740\u53e6\u4e00\u4e2a\u957f\u87ba\u7ebf\u7ba1\uff08\u534a\u5f84\u4e3a$R$\uff09\uff0c\u4e24\u8005\u5355\u4f4d\u957f\u5ea6\u531d\u6570\u76f8\u540c\uff0c\u521d\u59cb\u65f6\u5747\u65e0\u7535\u6d41\u3002\u67d0\u4e00\u65f6\u523b\uff0c\u7535\u6d41\u5f00\u59cb\u5728\u4e24\u4e2a\u87ba\u7ebf\u7ba1\u4e2d\u7ebf\u6027\u589e\u52a0\uff0c\u4e14\u4efb\u610f\u65f6\u523b\u5c0f\u87ba\u7ebf\u7ba1\u4e2d\u7684\u7535\u6d41\u662f\u5927\u87ba\u7ebf\u7ba1\u7684\u4e24\u500d\uff0c\u7535\u6d41\u65b9\u5411\u76f8\u540c\u3002\u7531\u4e8e\u7535\u6d41\u7684\u589e\u957f\uff0c\u4e00\u4e2a\u521d\u59cb\u9759\u6b62\u5728\u4e24\u4e2a\u87ba\u7ebf\u7ba1\u4e4b\u95f4\u67d0\u4f4d\u7f6e\u7684\u5e26\u7535\u7c92\u5b50\u5f00\u59cb\u6cbf\u7740\u4e00\u4e2a\u5706\u5f62\u8f68\u9053\u8fd0\u52a8\u3002\u6c42\u6b64\u5706\u7684\u534a\u5f84$r$\u4e3a\u591a\u5c11\uff1f<\/p>\n<p><img decoding=\"async\" class=\"framed\" src=\"https:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/jqx25-2.jpg\" alt=\"\" width=\"190\" align=\"right\" \/>\u8bbe\u5927\u87ba\u7ebf\u7ba1\u4e2d\u7684\u7535\u6d41\u4e3a$I=kt$\uff0c\u6839\u636e\u957f\u87ba\u7ebf\u7ba1\u78c1\u573a\u516c\u5f0f$B=\\mu_{0}nI$\uff0c\u53ef\u5f97\u5927\u87ba\u7ebf\u7ba1\u5185\u90e8\uff08$r&lt;2R$\uff09\u7684\u78c1\u573a\u4e3a$B=\\mu_{0}nkt$\u3002\u7531\u4e8e\u5c0f\u87ba\u7ebf\u7ba1\u7684\u7535\u6d41\u4e3a$2I=2kt$\uff0c\u5176\u5185\u90e8\uff08$r&lt;R$\uff09\u7684\u78c1\u573a\u4e3a$B&#8217;=2\\mu_{0}nkt$\u3002\u7531\u4e8e\u4e24\u4e2a\u87ba\u7ebf\u7ba1\u540c\u8f74\u4e14\u7535\u6d41\u65b9\u5411\u76f8\u540c\uff0c\u5728$r&lt;R$\u7684\u533a\u57df\u5185\uff0c\u78c1\u573a\u4e3a\u4e24\u4e2a\u87ba\u7ebf\u7ba1\u78c1\u573a\u7684\u53e0\u52a0\uff0c\u5373\u603b\u78c1\u573a\u4e3a$B_{\\text{inner}} = B + B&#8217; = 3\\mu_{0}nkt = 3B$\u3002<br \/>\u7c92\u5b50\u8f68\u9053\u534a\u5f84\u4e3a$r$\uff08$R&lt;r&lt;2R$\uff09\uff0c\u7a7f\u8fc7\u8be5\u5706\u7684\u78c1\u901a\u91cf\u7531\u4e24\u90e8\u5206\u7ec4\u6210\uff1a\u5c0f\u87ba\u7ebf\u7ba1\u5185\u90e8\u533a\u57df\uff08$0 \\to R$\uff09\u7684\u78c1\u901a\u91cf$\\pi R^{2} \\cdot 3B$\uff0c\u4ee5\u53ca\u5927\u87ba\u7ebf\u7ba1\u73af\u5f62\u533a\u57df\uff08$R \\to r$\uff09\u7684\u78c1\u901a\u91cf$\\pi (r^{2}-R^{2}) \\cdot B$\u3002\u4ee3\u5165$B=\\mu_{0}nkt$\uff0c\u603b\u78c1\u901a\u91cf\u4e3a<br \/>$\\varphi = \\pi R^{2} \\cdot 3\\mu_{0} n kt + \\pi(r^{2}-R^{2}) \\cdot \\mu_{0} n kt = \\mu_{0} n k t \\pi \\left(3R^{2} + r^{2} &#8211; R^{2}\\right) = \\mu_{0} n k t \\pi \\left(2R^{2} + r^{2}\\right).$<br \/>\u6839\u636e\u6cd5\u62c9\u7b2c\u7535\u78c1\u611f\u5e94\u5b9a\u5f8b\uff0c\u611f\u751f\u7535\u573a\u7684\u73af\u6d41\u6ee1\u8db3$\\oint \\vec{E} \\cdot d\\vec{l} = -\\frac{d\\varphi}{dt}$\u3002\u7531\u4e8e\u8f74\u5bf9\u79f0\u6027\uff0c\u611f\u751f\u7535\u573a\u6cbf\u5207\u5411\uff0c\u6545$E \\cdot 2\\pi r = -\\frac{d\\varphi}{dt}$\u3002<\/p>\n<p>\u5bf9\u78c1\u901a\u91cf\u6c42\u5bfc\u5f97$\\frac{d\\varphi}{dt} = \\mu_{0} n k \\pi \\left(2R^{2} + r^{2}\\right)$\uff0c\u89e3\u5f97\u611f\u751f\u7535\u573a$E = \\frac{\\mu_{0} n k \\left(2R^{2} + r^{2}\\right)}{2r}.$<br \/>\u5e26\u7535\u7c92\u5b50\u53d7\u7535\u573a\u529b$F=qE$\uff0c\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b$m a_{t}=qE$\uff0c\u5207\u5411\u52a0\u901f\u5ea6$a_{t}=\\frac{dv}{dt}$\uff0c\u521d\u59cb\u901f\u5ea6\u4e3a\u96f6\uff0c\u79ef\u5206\u5f97\u901f\u5ea6<br \/>$v = \\frac{q \\mu_{0} n k \\left(2R^{2} + r^{2}\\right)}{2m r} \\, t.$<br \/>\u7c92\u5b50\u505a\u5706\u5468\u8fd0\u52a8\u7684\u5411\u5fc3\u529b\u7531\u6d1b\u4f26\u5179\u529b\u63d0\u4f9b\uff0c\u5373$\\frac{m v^{2}}{r}=q v B$\uff0c\u5316\u7b80\u5f97$\\frac{m v}{r}=q B$\u3002\u4ee3\u5165$v$\u4e0e$B=\\mu_{0}nkt$\uff0c\u7ea6\u53bb\u516c\u5171\u56e0\u5b50$q \\mu_{0} n k t$\u540e\u5f97\u5230<br \/>$\\frac{2R^{2} + r^{2}}{2r^{2}} = 1,$<br \/>\u5316\u7b80\u5f97$2R^{2} + r^{2} = 2r^{2}$\uff0c\u5373$r^{2} = 2R^{2}$\uff0c\u89e3\u5f97<br \/>$r = \\sqrt{2}R.$<br \/>\u7c92\u5b50\u5728\u4e24\u87ba\u7ebf\u7ba1\u4e4b\u95f4\uff08$R&lt;r&lt;2R$\uff09\u8fd0\u52a8\uff0c\u4e14$\\sqrt{2}R$\u6ee1\u8db3\u8be5\u6761\u4ef6\uff0c\u6545\u4e3a\u6240\u6c42\u534a\u5f84\u3002<\/p>\n<p>\u3010\u4e0b\u671f\u9884\u544a\u3011<br \/>\n\u901a\u8fc7\u5f15\u5165\u68af\u5ea6\u3001\u6563\u5ea6\u3001\u65cb\u5ea6\u8fd9\u4e09\u4e2a\u5de5\u5177\uff0c\u63a8\u5bfc\u9ea6\u514b\u65af\u97e6\u65b9\u7a0b\u7ec4\uff0c\u89c1\u8bc1\u5149\u901f$ c = \\frac{1}{\\sqrt{\\varepsilon_0 \\mu_0}} \\approx 3 \\times 10^8 \\text{ m\/s} $\u7684\u8bde\u751f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>JQX\/\u8fdb\u53d6\u82af \u5e2d\u660e\u7eb3\u7b2c25\u671f\uff082026.01.16\uff09 \u7535\u5b50\u611f\u5e94\u52a0\u901f\u5668JQX|Jin \u4e00\u3001\u611f\u751f\u7535\u573a \u6211\u4eec\u8ba8\u8bba\u78c1 &#8230; <a title=\"\u7535\u5b50\u611f\u5e94\u52a0\u901f\u5668\" class=\"read-more\" href=\"https:\/\/www.qiusir.com\/?p=43179\" aria-label=\"\u9605\u8bfb \u7535\u5b50\u611f\u5e94\u52a0\u901f\u5668\">\u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[9],"tags":[460,247],"class_list":["post-43179","post","type-post","status-publish","format-standard","hentry","category-jqx","tag-jqx","tag-physics"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/43179","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=43179"}],"version-history":[{"count":20,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/43179\/revisions"}],"predecessor-version":[{"id":45606,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/43179\/revisions\/45606"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=43179"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=43179"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=43179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}