15问答网 > 将两个定值电阻串联接到电压为U的电源两端，R1消耗的功率为P1，R2消耗的功率为3P1．将这两个定值电阻并联

将两个定值电阻串联接到电压为U的电源两端，R1消耗的功率为P1，R2消耗的功率为3P1．将这两个定值电阻并联

2025-03-16 02:10:52
推荐回答（1个）
回答1：

（1）R1、R2串联时，通过两电阻的电流相等，
∵P=I2R，且P2=3P1，
∴R2=3R1，
∵U=IR，
∴U1：U2=R1：R2=1：3；
电路中的电流I=
U
R1+R2
=
U
R1+3R1
=
U
4R1
，
则P1=I2R1=（
U
4R1
）2R1=
U2
16R1
．
（2）当R1、R2并联在同一电源两端时，两电阻两端的电压相等为U，
R1消耗的功率为P1′=
U2
R1
=16P1；
∵I=
U
R
，
∴通过R1与R2的电流之比I1′：I2′=R2：R1=3：1；
电路消耗的总功率P总′=
U2
R1
+
U2
R2
=
U2
R1
+
U2
3R1
=
4
3
×16P1=
64
3
P1．
故选B．

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