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mzyy.yilianmeiti.com/zhuanke_7_230000_0_0_0.htmlR1+R2+…总电阻R=一、串联电路的特点总电流I=总电压U=I1=I2U1+U2导体串联起来,相当于增加了导体的 ___长度串联电路中的电流处处相等。串联电路两端的总电压等于各串联导体两端电压之和。例1:把5Ω的电阻R1跟15Ω的电阻R2串联起来,接在电压是6V的电源上。这个串联电路中的电流是多少?R1=5ΩR2=15ΩU=6VI=?解:电路的总电阻为:∴这个串联电路中的电流是:例1:把5Ω的电阻R1跟15Ω的电阻R2串联起来,接在电压是6V的电源上。这个串联电路中的电流是多少?I=0.3A追问(1): R1两端的电压是多少?U1=IR1=0.3A × 5Ω=1.5V例2:一个小灯泡正常发光时两端的电压是2.5 伏,通过的电流为0.2安。现用一个电压为4.5伏的电源对其供电,为了使小灯泡能正常发光,需要串联一个多大的电阻?
解:已知正常工作时灯泡两端的电压和通过它的电流为:
U1 = 2.5 伏, I = 0.2 安
电阻R 分担的电压应该是:
U2 = U-U1 = 4.5 伏-2.5 伏= 2 伏
根据欧姆定律,电阻
R= U2/I = 2伏/0.2安 = 10 欧
答:串联的电阻R 的阻值是10 欧。二、并联电路的特点①并联电路干路中的电流
等于各支路中的电流之和。
I1+I2+……
②并联电路两端的电压相等。
U1=U2=……③并联电路总电阻的计算公式总电阻R=总电流I=总电压U=并联电路的总电阻的倒数,等于各并联电阻的倒数之和。几个导体并联起来,相当于增加了导体的 ____横截面积u思考 在连接电路时,只有若干个5欧的电阻,能不能把5欧电阻组合起来代替10欧的电阻?如果需要1欧的电阻能不能也用5欧电阻组合来代替呢?把2个5Ω的电阻串联,总电阻是10Ω把5个5Ω的电阻并联,总电阻是1Ω例1:电阻R1与R2并联接入电路后,两端所加电压为24V,如果R1为80Ω,通过R2的电流为0.2A,求R2。解: R2的电阻为:追问:(1)通过R1的电流;
(2)电路的总电流;
(3)电路的总电阻。并联电路两个电阻并联后的总电阻除了可以用公式计算外,还可以用以下公式计算:根据并联电路各支路电压相等,可得:并联电路电流的分配与电阻成反比。I1R1=I2R2串联电路并联电路电路图电流电压电阻电压电流的
分配关系I = I1+I2 I = I1 = I2 U =U1+U2U = U1 = U2 R =R1+R21/R = 1/R1+1/R2 U1 / U2 = R1 / R2U1 / U = R1 / RI1 / I2 = R2 / R1 I1 / I = R / R1 串联电路和并联电路的比较 1、电路中并联的电灯(用电器)越多,干路中的电流越大,可能会引起电源超载而损坏电源。
2、并联电路中,某条支路上的电阻越小,则该条支路上的电流越大。推广R1R21、I=I1=I22、U=U1+U23、R串=R1+R21、I=I1+I22、U=U1=U2UR1R2UR 串串、并联电路I、U、R关系 例.如图所示,R1=2Ω,R2=3Ω。当开关S1闭合,S2、S3断开时,电流表的示数为0.6A;当开关S1、S2、S3都闭合时,电流表示数为1.5A,且灯泡L正常发光。
求:(1)电源电压;
(2)灯泡L正常发光时的电阻。混联电路 如图所示,R1=2Ω,R2=3Ω。当开关S1闭合,S2、S3断开时,电流表的示数为0.6A;当开关S1、S2、S3都闭合时,电流表示数为1.5A,且灯泡L正常发光。
求:(1)电源电压;
(2)灯泡L正常发光时的电阻。AS1R1R2 如图所示,R1=2Ω,R2=3Ω。当开关S1闭合,S2、S3断开时,电流表的示数为0.6A;当开关S1、S2、S3都闭合时,电流表示数为1.5A,且灯泡L正常发光。
求:(1)电源电压;
(2)灯泡L正常发光时的电阻。∴电源电压为:
U=IR=I(R1+R2)=0.6A×(2Ω+3Ω)=3VAS1S2S3LR1R2 如图所示,R1=2Ω,R2=3Ω。当开关S1闭合,S2、S3断开时,电流表的示数为0.6A;当开关S1、S2、S3都闭合时,电流表示数为1.5A,且灯泡L正常发光。
求:(1)电源电压;
(2)灯泡L正常发光时的电阻。AS1S2S3LR2 如图所示,R1=2Ω,R2=3Ω。当开关S1闭合,S2、S3断开时,电流表的示数为0.6A;当开关S1、S2、S3都闭合时,电流表示数为1.5A,且灯泡L正常发光。
求:(1)电源电压;
(2)灯泡L正常发光时的电阻。 如图所示,R1=2Ω,R2=3Ω。当开关S1闭合,S2、S3断开时,电流表的示数为0.6A;当开关S1、S2、S3都闭合时,电流表示数为1.5A,且灯泡L正常发光。
求:(1)电源电压;
(2)灯泡L正常发光时的电阻。解:(1)当开关S1闭合,S2、S3断开时,灯L被断路,R1与R2串联。电流表测电路电流,I=0.6A 。∴电源电压为:
U=IR=I(R1+R2)=0.6A×(2Ω+3Ω)=3V(2)当开关S1、S2、S3都闭合时,R1被短路,R2与灯L并联,电流表测干路电流,I总=1.5A。通过R2的电流为:通过灯泡L的电流为:灯泡L正常发光时的电阻为:实际电路图等效电路图 几个电阻串联起来,相当于增大了导体的长度。所以总电阻比任何一个导体的电阻都大。电阻串联的解释电阻的并联 如图,设支路的电阻分别为R1、R2,电路两端的电压为U,根据欧姆定律,有证明: 表明:并联电路的总电阻的倒数,等于各并联电阻的倒数之和。通过R1 电流,通过R2 电流,干路上的电流,由于 I = I1+I2因此由此得出:(R为并联电路的总电阻)