电感中的公式推导 电感电容得公式推导
\u7535\u611f\u516c\u5f0f\u63a8\u5bfc\u81ea\u611f\u603b\u7535\u52bf\u662f\u6bcf\u4e00\u531d\u7ebf\u5708BS\u611f\u751f\u7535\u52bf\u7684\u4e32\u8054\uff08\u4e00\u6b21N\uff09
\u6bcf\u4e00\u531d\u7684B\u5176\u5b9e\u662fN\u531d\u7684\u5408\u529b\uff08\u4e8c\u6b21N\uff0c\u8fd9\u4e2a\u6bd4\u8f83\u9690\u542b\uff09
\u6700\u7ec8\u5bf9L\uff1a\u51fa\u73b0N^2\uff0c\u800ci\u662f\u516c\u56e0\u5b50\u3002
\u4f60\u7684\u7b2c\u4e00\u4e2a\u516c\u5f0f\u03a6\u8981\u6539\u6210\u78c1\u94fe\u03a8\uff1b\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u8981\u6539\u6210\uff1a\u03a8=NBS
\u8fd9\u79cd\u8868\u793a\u4e25\u683c\u5730\u8bf4\u662f\u9519\u8bef\u7684\u3002\u7535\u611f\u662fwL\uff0c\u7535\u5bb9\u662f1/wc \u3002\u90fd\u6ca1\u6709\u865a\u6570\u5355\u4f4dj\u3002\u5728\u516c\u5f0f\u4e2d\u7531\u4e8e\u662f\u5411\u91cf\u8868\u793aU=jwL*I\uff1b\u5176\u4e2dU\u548cI\u90fd\u662f\u5411\u91cf\uff0c\u6839\u636e\u7535\u8def\u539f\u7406\u53ef\u77e5U\u6bd4I\u8d85\u524d90\u5ea6\uff0c\u7535\u5bb9\u5219\u662f\u843d\u540e90\u5ea6\u3002
\u63a8\u5bfc\u8bf4\u660e\u5982\u4e0b\uff1ai=\u221a2Isin(wt+f)=Im[\u221a2Ie^jwt]
u=Ldi/dt,\u6700\u540e\u5f97\u51fau=Im[\u221a2jwLIe^jwt]
\u901a\u8fc7\u53d8\u6362\u628a\u5bf9\u6b63\u5f26\u91cf\u5728\u65f6\u57df\u7684\u5fae\u5206\u53d8\u6210\u9891\u57df\u4e2d\u5bf9\u76f8\u5e94\u5411\u91cf\u7684\u4e58\u79ef\u3002
\u5373\uff1aU=jwLI
\u7535\u5bb9\u7c7b\u4f3c\u3002
\u7531\u4e8e\u516c\u5f0f\u8be6\u7ec6\u63a8\u5bfc\u6bd4\u8f83\u7e41\u7410\u8fd9\u91cc\u6709\u597d\u591a\u6570\u5b66\u7b26\u53f7\u65e0\u6cd5\u8868\u793a\u51fa\u6765\u8be6\u7ec6\u5185\u5bb9\u8bf7\u53c2\u770b\u7535\u8def\u539f\u7406\u3002
i=Im*sinwt 则u=L*di/dt=Im*w*L*coswt=Im*w*L*sin(90-wt）=Im*w*L*sin[180-(90-wt)]=Im*w*L*sin(wt+90）
总结规律：奇变偶不变，符号看象限。
绛旓細鍥犱负鐢垫劅鐨鎰熸姉鏄疿L=jwL=, 鐢靛鐨勫鎶楁槸XC=1/jwC=-j/(wC)鐢靛鐢垫劅涓茶仈锛岃皭鎸偣涔熷氨鏄櫄閮ㄩ樆鎶椾负0锛屽嵆XL+XC=0,鎵浠L+XC=jwL+(-j/(wC)=0 j*w*L=j/(w*C)(w^2)*L*C=1 w=1/鈭歀C
绛旓細鐢垫劅璁＄畻鍏紡锛氭柟娉1銆丩=渭脳Ae*N2/ l 鍏朵腑锛歀琛ㄧず鐢垫劅閲忋佄艰〃绀虹蹇冪殑纾佸鐜囥丄e琛ㄧず纾佸績鐨勬埅闈㈢Н銆丯琛ㄧず绾垮湀鐨勫対鏁般乴m琛ㄧず纾佸績鐨勭璺暱搴︺傛柟娉2銆佺粡楠屽叕寮忥細L=锛坘*渭0*渭s*N2*S锛/l 鍏朵腑 渭0 涓虹湡绌虹瀵肩巼=4蟺*10锛-7锛夈傦紙10鐨勮礋涓冩鏂癸級渭s 涓虹嚎鍦堝唴閮ㄧ鑺殑鐩稿纾佸鐜囷紝绌哄績绾垮湀...
绛旓細棣栧厛锛屼笉鐭ラ亾浣犵殑A鏄粈涔堛俰=Im*sinwt 鍒檜=L*di/dt=Im*w*L*coswt=Im*w*L*sin(90-wt锛=Im*w*L*sin[180-(90-wt)]=Im*w*L*sin(wt+90锛夋荤粨瑙勫緥锛氬鍙樺伓涓嶅彉锛岀鍙风湅璞￠檺銆
绛旓細L=唯/I銆傜數鎰熷熀鏈鍏紡涓猴細L=唯/I銆鐢垫劅鐨瀹氫箟鍏紡鏄細L=phi/i銆傚嵆鐢靛帇闄や互鐢垫祦瀵规椂闂寸殑瀵兼暟涔嬪晢銆傜粡楠屽叕寮忥細L=锛坘*渭0*渭s*N2*S锛夛紡l銆傜數鎰熺殑瀹氫箟鏄繖鏍风殑锛1銆佺數鍘嬮櫎浠ョ數娴佸鏃堕棿鐨勫鏁颁箣鍟嗐2銆丩=phi/i(鍦ㄧ數璺腑锛屽綋鐢垫祦娴佽繃瀵间綋鏃讹紝浼氫骇鐢熺數纾佸満锛岀數纾佸満鐨勫ぇ灏忛櫎浠ョ數娴佺殑澶у皬灏辨槸鐢垫劅...
绛旓細鍥1 娉細杩欓噷鐨勫井绉垎杩樻瘮杈冨熀纭锛屽鏋滀笉浼氱殑璇濆缓璁嚜瀛︼紝姝ゅ锛岃繕娑夊強鍒颁竴涓鍏紡锛屽嵆 鑷劅鐢靛姩鍔縐=L脳锛堚柍I/鈻硉锛夛紝鎺ㄥ杩囩▼鏈夊埄鐢ㄥ埌鐢垫劅鏈韩鐨勬ц川鍜屾硶鎷夌鐢电鎰熷簲瀹氬緥銆
绛旓細L=唯/I銆傜數鎰熷熀鏈鍏紡涓猴細L=唯/I銆鐢垫劅鐨瀹氫箟鍏紡鏄細L=phi/i銆傚嵆鐢靛帇闄や互鐢垫祦瀵规椂闂寸殑瀵兼暟涔嬪晢銆傜粡楠屽叕寮忥細L=锛坘*渭0*渭s*N2*S锛夛紡l銆傜數鎰熺殑瀹氫箟鏄繖鏍风殑锛1銆佺數鍘嬮櫎浠ョ數娴佸鏃堕棿鐨勫鏁颁箣鍟嗐2銆丩=phi/i(鍦ㄧ數璺腑锛屽綋鐢垫祦娴佽繃瀵间綋鏃讹紝浼氫骇鐢熺數纾佸満锛岀數纾佸満鐨勫ぇ灏忛櫎浠ョ數娴佺殑澶у皬灏辨槸鐢垫劅...
绛旓細澶氱數瀹瑰櫒骞惰仈璁＄畻鍏紡锛欳=C1+C2+C3+鈥+Cn 2銆佸苟鑱旓細1/R=1/R1+1/R2+鈥+1/Rn 鐗瑰埆鍦帮紝涓や釜鐢甸樆骞惰仈寮忎篃鍙〃绀轰负锛歊=R1R2/R1+R2 瀹氫箟寮忥細R=U/1 鍐冲畾寮忥細R=pL/S 锛埾佽〃绀虹數闃荤殑鐢甸樆鐜囷紝鏄敱鍏舵湰韬ц川鍐冲畾锛孡琛ㄧず鐢甸樆鐨勯暱搴︼紝S琛ㄧず鐢甸樆鐨勬í鎴潰绉級銆3銆鐢垫劅閲忔寜涓嬪紡璁＄畻锛氱嚎鍦堝叕寮...
绛旓細蠅t+胃+90掳锛夊洜姝わ紝瀵逛簬鐢靛锛岋紝鐢靛帇鐢垫祦鐨勭浉浣嶅叧绯绘槸锛岀數娴佽秴鍓嶇數鍘90掳鎴栫數鍘嬫粸鍚庣數娴90掳 鏍规嵁寮忥紙2锛夊亣璁剧數娴乮=Im*sin锛埾塼+胃锛夐偅涔坲=Ldi/dt=Im*L*蠅*cos锛埾塼+胃锛=Im*L*蠅*sin锛埾塼+胃+90掳锛夊洜姝わ紝瀵逛簬鐢垫劅锛岀數鍘嬬數娴佺殑鐩镐綅鍏崇郴鏄紝鐢靛帇瓒呭墠鐢垫祦90掳鎴栫數娴佹粸鍚庣數鍘90掳銆
绛旓細鐩稿弽鐢垫劅涔熸湁鍚屾牱鐨勭壒鎬с傚ぇ鐢靛骞惰仈灏忕數瀹瑰湪鐢垫簮婊ゆ尝涓潪甯稿箍娉涚殑鐢ㄥ埌,鏍规湰鍘熷洜灏卞湪浜庣數瀹圭殑鑷皭鎸壒鎬с傚ぇ灏忕數瀹规惌閰嶅彲浠ュ緢濂界殑鎶戝埗浣庨鍒伴珮棰戠殑鐢垫簮骞叉壈淇″彿,灏忕數瀹规护楂橀(鑷皭鎸鐜囬珮),澶х數瀹规护浣庨(鑷皭鎸鐜囦綆),涓よ呬簰涓鸿ˉ鍏呫 鐢靛鍏呯數鍏紡: 璁,V0 涓虹數瀹逛笂鐨勫垵濮嬬數鍘嬪; V1 涓虹數瀹规渶缁堝彲鍏呭埌鎴栨斁鍒...
绛旓細鍥涖佺數鎰熼樆鎶楋細鎰熸姉涓庨鐜囩殑鍏崇郴瀵逛簬棰戠巼椹卞姩鐨勭數鎰燂紝闃绘姉琛ㄧ幇涓烘劅鎶楋紝璁＄畻鍏紡涓篨=2蟺*f*L锛岄鐜囪秺楂橈紝鎰熸姉涔熻秺澶с傚灏嗗浘2鐨勯鐜囨彁鍗囷紝鐢垫劅鐨闃绘姉澧炲姞锛屽彲鑳戒細璁╃數璺憟鐜板嚭闄嶅帇鏁堝簲锛屽奖鍝嶈礋杞界數鍘嬨備簲銆佺數鎰熶笌鐢靛鐨勫姣旂數鎰熶笌鐢靛鍦ㄧ數璺腑鍚勬湁鐗规с傜數鎰熺殑鎰熸姉涓庨鐜囨垚姝ｆ瘮锛岃岀數瀹瑰垯鏄浉鍙嶃傚姣...
