电阻的并联,公式是怎么推算的? 并联电阻怎么计算

\u5e76\u8054\u7535\u963b\u8ba1\u7b97\u516c\u5f0f\u8ba1\u7b97\u65b9\u6cd5

\u603b\u7535\u963b\u503c\u7684\u8ba1\u7b97
1/R\u603b=1/R1+1/R2+\u2026\u2026+1/Rn\uff0c\u5373\u603b\u7535\u963b\u7684\u5012\u6570\u7b49\u4e8e\u5404\u5206\u7535\u963b\u7684\u5012\u6570\u4e4b\u548c
\u7279\u522b\u7684\uff0c\u4e24\u7535\u963b\u5e76\u8054\u603b\u503c\u4e3a\uff1a R\u603b=\uff08R1*R2)/\uff08R1+R2\uff09
\u5bf9\u4e8en\u4e2a\u76f8\u7b49\u7684\u7535\u963b\u5e76\u8054\uff0c\u516c\u5f0f\u5c31\u7b80\u5316\u4e3aR\u5e76=R/n\u3002

\u6bd4\u5982\u95ee\u9898\u4e2d\u4e00\u4e2a\u7535\u963b20\u6b27\uff0c\u53e6\u4e00\u4e2a\u7535\u963b\u662f40\u6b27\uff0c\u5e76\u8054\u5728\u4e00\u8d77\u603b\u7535\u963b\u8ba1\u7b97\u65b9\u6cd5
\u2460\u5229\u7528\u516c\u5f0f R\u603b=\uff08R1*R2)/\uff08R1+R2\uff09
R\u603b=20*40/\uff0820+40\uff09=40/3
\u2461\u6309\u7167\u7535\u963b\u5e76\u8054\u516c\u5f0f 1/R\u603b=1/R1+1/R2+\u2026\u2026+1/Rn\uff0c\u5c06\u6bcf\u4e2a\u5206\u7535\u963b\u7684\u5012\u6570\u76f8\u52a0\uff0c\u518d\u6c42\u548c\u7684\u5012\u6570\u5c31\u662f\u5e76\u8054\u7684\u603b\u7535\u963b \u3002\u53731/20+1/40=3/40 \u90a3\u4e48\u603b\u7535\u963b\u5c31\u662f= 40/3\u3002
\u2460\u2461\u4e24\u79cd\u8ba1\u7b97\u7ed3\u679c\u76f8\u540c\uff0c\u5747\u662f40/3\uff0c\u7ea6\u7b49\u4e8e13.3\u3002
\u6269\u5c55\u8d44\u6599\uff1a1\u3001\u5e76\u8054\u7535\u8def\uff1a\u5e76\u8054\u7684\u5404\u652f\u8def\u7535\u538b\u76f8\u7b49\uff0c\u5e72\u8def\u7535\u6d41\u7b49\u4e8e\u5404\u4e2a\u652f\u8def\u548c\u3002
\u8868\u8fbe\u5f0f\uff1a\u7535\u963bR1R2R3\u2026\u2026Rn\u5e76\u8054,\u7535\u538bU1=U2=\u2026\u2026=Un\u5e72\u8def\u7535\u6d41\uff1aIn=I1+I2+\u2026\u2026+In\u7531\u4e8eP=UI,I=U/R\uff0c\u4ee3\u5165\uff0c\u5e76\u8054\u7535\u963b\u7684\u529f\u7387\u6bd4P1:P2:P3\u2026\u2026\uff1aPn=U1^2/R1:U2^2/R2\u2026\u2026Un^2/Rn=1/R1:R2\u2026\u20261/Rn\u7531\u4e8e\u662f\u7eaf\u7535\u963b\uff0c\u53d1\u70ed\u6bd4Q1:Q2\u2026\u2026\uff1aQn=Pn\u6bd4=1/R1:R2\u2026\u20261/Rn\u3002
2\u3001\u5e76\u8054\u7535\u8def\u4e2d\u7684\u5173\u7cfb
\u7535\u538b\u7684\u5173\u7cfb\uff1aU=U1=U2
\u7535\u6d41\u7684\u5173\u7cfb\uff1aI=I1+I2
\u7535\u963b\u7684\u5173\u7cfb\uff1a1/R=1/R1+1/R2
\u7535\u529f\u7684\u8ba1\u7b97\uff1aW=UIt
\u7535\u529f\u7387\u7684\u5b9a\u4e49\u5f0f\uff1aP=W/t
\u5e38\u7528\u516c\u5f0f\uff1aP=UI
\u7126\u8033\u5b9a\u5f8b\uff1aQ\u653e=I^2Rt
\u5bf9\u4e8e\u7eaf\u7535\u963b\u7535\u8def\u800c\u8a00\uff1aQ\u653e=I^2Rt =U^2t/R=UIt=Pt=UQ=W
\u7167\u660e\u7535\u8def\u7684\u603b\u529f\u7387\u7684\u8ba1\u7b97\uff1aP=P1+P1+\u2026\u2026
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1-\u5e76\u8054\u7535\u963b

\u5e76\u8054\u7535\u963b\u7684\u8ba1\u7b97

电阻R1、R2、R3……Rn并联,

电压U1=U2=……=Un
干路电流:In=I1+I2+……+In(并联电路:并联的各支路电压相等,干路电流等于各个支路和)
由 于I=U/R,代入,
In=U/R1+U/R2+U/R3......+U/Rn
In=U*(1/R1+1/R2+1/R3+......+1/Rn)
整理上式
U/In=1/(1/R1+1/R2+1/R3+......+1/Rn)
因为U/In=R总,所以
R总=1/(1/R1+1/R2+1/R3+......+1/Rn)

公式中的R是并联电阻值,R=R1R2/(R1+R2),代换就行了。

  • 骞惰仈鐢甸樆璁$畻鍏紡鏄粈涔?
    绛旓細骞惰仈鐢甸樆璁$畻鍏紡鏄鎬荤數闃诲肩殑鍊掓暟绛変簬鍚勫垎鐢甸樆鍊肩殑鍊掓暟涔嬪拰銆傝缁嗚В閲婂涓嬶細骞惰仈鐢甸樆鍩烘湰鍏紡 鍦ㄧ數璺涓紝褰撳涓數闃讳互骞惰仈鏂瑰紡杩炴帴鏃讹紝鍏舵鐢甸樆鐨勮绠鏄熀浜骞惰仈鐢甸樆鐨鍩烘湰鍏紡銆傝繖涓叕寮忚〃鏄庯紝鎬荤數闃荤殑鍊掓暟绛変簬鍚勪釜鍒嗙數闃荤殑鍊掓暟涔嬪拰銆傜敤鏁板绗﹀彿琛ㄧず锛岃嫢R1銆丷2銆丷3鈥︹︿负骞惰仈鐢甸樆锛鍒1/R= 1/R1 +...
  • 鐢甸樆鐨涓茶仈鍜骞惰仈鐨勫叕寮,濡備綍鐢ㄦ濮嗗畾寰鎺ㄧ畻銆傝澶у甯府蹇,鏈濂借缁嗙偣...
    绛旓細鍥犱负I1=I2=I,I1=U1/R1,I2=U2/R2,鎵浠1/R1=U2/R2鍗砋1/U2=R1/R2,鐗╃悊鎰忎箟灏辨槸涓茶仈鐢佃矾涓瘡涓鐢甸樆涓ょ鐨勭數鍘嬫瘮绛変簬瀹冧滑鐨勭數闃婚樆鍊间箣姣斻俁鎬=U/I=锛圲1+U2锛/I=锛圛1R1+I2R1锛/I=R1+R2.骞惰仈鐢佃矾涓紝姣忎釜鐢甸樆涓ょ鐨勭數鍘嬬浉绛夈傚亣璁句竴涓苟鑱旂數璺噷闈㈡湁涓や釜鐢甸樆R1銆丷2锛岄氳繃瀹冧滑鐨勭數娴...
  • 鐢甸樆骞惰仈鍏紡鎺ㄥ鎬庝箞鎺ㄥ
    绛旓細鐢甸樆 鐨鍊掓暟灏辨槸鐢靛銆侴=1/R ,鑻ュ共鐢甸樆骞惰仈(渚嬪2涓)锛屽畠浠殑鎬荤數瀵兼槸鍚勪釜鐢靛涔嬪拰銆傚嵆锛欸=G1+G2=1/R1+1/R2=锛圧1+R2)/R1*R2.R=1/G=R1*R2/(R1+R2)
  • 涓変釜鐢甸樆骞惰仈,鎬庝箞鎺ㄥ?
    绛旓細涓変釜鐢甸樆骞惰仈鍏紡鏄R鎬=1/锛1/R1+1/R2+1/R3锛夈傚叕寮忔帹鏂細鎬荤數闃荤瓑浜庡悇鐢甸樆鐨鍊掓暟鍜岋紝鍋囪涓変釜鐢甸樆鍒嗗埆鐢≧1锛孯2锛孯3琛ㄦ硶锛屽皢R1锛孯2鐪嬫垚涓涓暣浣擄紝鐢≧12琛ㄦ硶锛屽嵆1/R12=1/R1+1/R2锛涘墿涓嬬殑R12鍜孯3鐢甸樆骞惰仈锛鐢≧鎬昏〃绀猴紝鍗1/R鎬=1/R12+1/R3锛涙渶鍚庡紡瀛愬悎骞讹紝R鎬=1/锛1/R1+1/R2+1/...
  • 鐢甸樆骞惰仈鐨瑙勫緥鏄粈涔?
    绛旓細鐢靛姛鐨璁$畻锛歐=UIt锛涚數鍔熺巼鐨勫畾涔夊紡锛歅=W/t锛涘父鐢鍏紡锛歅=UI銆傚綋瀹炴祴骞堕樆鐢甸樆涓庡嚭鍘傛垨浜ゆ帴璇曢獙娴嬮噺鍊间笉绗︽椂锛屽闄剁摲鐢甸樆鑰岃█锛屽彲鑳藉瓨鍦ㄧ殑鍘熷洜濡備笅锛氾紙1锛夌數闃荤墖鑰佸寲锛屽鑷寸數闃诲煎澶с傦紙2锛夌數闃荤墖琚嚮绌匡紝瀵艰嚧鐢甸樆鍊奸檷浣庛傦紙3锛夊涓鐢甸樆骞惰仈鏃讹紟鑻ラ樆鍊兼樉钁楀澶э紝鍒欏彲鑳芥槸鏌愪覆鐢甸樆鏂紑鎵鑷淬
  • 骞惰仈鐢佃矾涓鐢甸樆涓婁箻涓嬪姞鐨鍏紡鏄庝箞鎺ㄥ嚭鏉鐨?
    绛旓細鍦骞惰仈鐢佃矾涓璉锛滻1+I2 I=U锛廟 U/R=U1/R1+U2/R2 鍙圲=U1=U2 1锛廟=1/R1+1/R2=(R1+R2)/R1R2 鎵浠=R1R2/(R1+R2)
  • 涓変釜鐢甸樆骞惰仈鎬庝箞璁$畻鐢垫祦
    绛旓細涓変釜鐢甸樆骞惰仈璁$畻鍏紡濡備笅锛氭垜浠鎵惧嚭涓変釜鐢甸樆骞惰仈鏃剁殑璁$畻鍏紡銆傚湪鐢靛涓紝褰撳嚑涓數闃诲苟鑱旀椂锛屽畠浠細鍏变韩鐩稿悓鐨勭數鍘嬶紝骞朵笖姣忎釜鐢甸樆浼氬垎鎷呬竴閮ㄥ垎鐢垫祦銆傚亣璁炬瘡涓數闃荤殑闃诲兼槸R锛屾荤數娴佹槸I锛岀數鍘嬫槸V銆骞惰仈鐢甸樆鐨鎬荤數闃伙紙EffectiveResistance锛夊彲浠ラ氳繃涓嬮潰鐨鍏紡璁$畻锛1/R_total=1/R_1+1/R_2+1/R_3...
  • ?鍒濅腑,鐢甸樆鐨涓骞惰仈鍘熺悊鍏紡鍔犳帹鍊掋
    绛旓細涓茶仈鐨勬椂鍊欙紝鐢垫祦鏄浉鍚岀殑锛岃涓 I锛屽垎鐢甸樆 R1 涓婄殑鐢靛帇鏄 R1脳I锛涘垎鐢甸樆 R2 涓婄殑鐢甸樆鏄 R2脳I锛岋紱鎬荤數鍘 U=R1脳I锛婻2脳I 鎬荤數闃 R=U梅I =R1锛婻2 鍥犳锛屼覆鑱旀椂鏄垎鐢甸樆涔嬪拰銆骞惰仈鏃讹紝鐢靛帇 U 鏄浉鍚岀殑锛涘垎鐢甸樆 R1 涓婄殑鐢垫祦鏄 U梅R1锛涘垎鐢甸樆 R2 涓婄殑鐢垫祦鏄 U梅R2锛涙荤數娴佹槸 I=U...
  • 骞惰仈鐢佃矾鐨勬鐢甸樆鏄庝箞绠楃殑
    绛旓細1/R鎬=1/R1+1/R2+鈥︹+1/Rn銆傚嵆鎬鐢甸樆鐨鍊掓暟绛変簬鍚勫垎鐢甸樆鐨勫掓暟涔嬪拰 鐗瑰埆鐨勶紝瀵逛簬n涓浉绛夌殑鐢甸樆骞惰仈锛屽叕寮灏辩畝鍖栦负R骞=R/n銆傚苟鑱旂數璺 鐢靛帇鐨勫叧绯伙細U=U1=U2 鐢垫祦鐨勫叧绯伙細I=I1+I2 鐢甸樆鐨勫叧绯伙細1/R=1/R1+1/R2 鐢靛姛鐨璁$畻锛歐=UIt 鐢靛姛鐜囩殑瀹氫箟寮忥細P=W/t 甯哥敤鍏紡锛歅=UI 鐒﹁冲畾寰...
  • 鍑犱釜鐢甸樆骞惰仈鍚庢荤數闃荤瓑浜庡悇鐢甸樆鐨鍊掓暟涔嬪拰,瀵硅繕鏄敊?閿欑殑璇,杩欏彞璇...
    绛旓細褰撴彁鍒鐢甸樆骞惰仈鏃讹紝閫氬父鐨勮娉曟槸涓嶆纭殑銆傛纭殑琛ㄨ堪搴旇鏄細鍦ㄧ數闃诲苟鑱旂數璺腑锛屾鐢甸樆鐨鍊掓暟绛変簬鍚勬敮璺數闃荤殑鍊掓暟涔嬪拰銆傝繖涓師鐞嗗彲浠ョ敤浠ヤ笅鍏紡鏉ヨВ閲婏細璁惧涓數闃籖1銆丷2鍜孯3骞惰仈锛鎬荤數娴両閬靛惊I=U/(1/R1+1/R2+1/R3)锛屽叾涓璘涓虹數鍘嬨傚苟鑱旀剰鍛崇潃瀵间綋缁勫悎鍚庯紝鐩稿綋浜庡鍔犱簡涓涓绘í鎴潰绉紝鍥犳鎬...
  • 扩展阅读:串联电阻计算口诀 ... 怎样计算电阻值 ... 2个2.5电容串联是多大 ... 电阻入门必背口诀 ... 电阻的三个公式 ... 电阻怎么计算出来的 ... 电阻的计算方法 ... 一步看懂并联和串联 ... 电导串并联公式 ...

    本站交流只代表网友个人观点,与本站立场无关
    欢迎反馈与建议,请联系电邮
    2024© 车视网