串并联电路电阻,电压(电流)分配,功率分配的推导
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串并联电路电阻,电压(电流)分配,功率分配的推导
串:R=R1+R2
U1/U2=R1/R2
P1/P2=R1/R2
并:1/R=1/R①+1/R②
I1/I2=R2/R1
P1/P2=R2/R1
就是这些的推导式
串:R=R1+R2
U1/U2=R1/R2
P1/P2=R1/R2
并:1/R=1/R①+1/R②
I1/I2=R2/R1
P1/P2=R2/R1
就是这些的推导式
![串并联电路电阻,电压(电流)分配,功率分配的推导](/uploads/image/z/3661457-41-7.jpg?t=%E4%B8%B2%E5%B9%B6%E8%81%94%E7%94%B5%E8%B7%AF%E7%94%B5%E9%98%BB%2C%E7%94%B5%E5%8E%8B%EF%BC%88%E7%94%B5%E6%B5%81%EF%BC%89%E5%88%86%E9%85%8D%2C%E5%8A%9F%E7%8E%87%E5%88%86%E9%85%8D%E7%9A%84%E6%8E%A8%E5%AF%BC)
串:
R=R1+R2 串联电路总电阻值等于各电阻值之和
R=U/I
}R=U1+U2/I }R=U1/I +U2/I =R1+R2
U=U1+U2 ∵I=I1=12
U1/U2=R1/R2
U=IR→U1/U2=I1R1/I2R2 ∵ I=I1=I2 ∴U1/U2=R1/R2
P1/P2=R1/R2
P=I²R P1/P2=I²R1/I²R2 ∵I=I1=I2 ∴ P1/P1=R1/R2
并
1/R=1/R①+1/R②
∵R=U/I
U=U1=U2
∴1/R=U/I1+I2
1/R=U/I1+U/I2
1/R=1/R①=1/R②
I1/I2=R1/R2
U=I1R1=I2R2
I1/12=R2/R1
P1/P2=R2/R1
∵P=U²/R
P1/P2=U²/R1/U²/R2=R2/R1
R=R1+R2 串联电路总电阻值等于各电阻值之和
R=U/I
}R=U1+U2/I }R=U1/I +U2/I =R1+R2
U=U1+U2 ∵I=I1=12
U1/U2=R1/R2
U=IR→U1/U2=I1R1/I2R2 ∵ I=I1=I2 ∴U1/U2=R1/R2
P1/P2=R1/R2
P=I²R P1/P2=I²R1/I²R2 ∵I=I1=I2 ∴ P1/P1=R1/R2
并
1/R=1/R①+1/R②
∵R=U/I
U=U1=U2
∴1/R=U/I1+I2
1/R=U/I1+U/I2
1/R=1/R①=1/R②
I1/I2=R1/R2
U=I1R1=I2R2
I1/12=R2/R1
P1/P2=R2/R1
∵P=U²/R
P1/P2=U²/R1/U²/R2=R2/R1