题目内容

甲、乙两个电阻,并联时它们的电流之比为2:3,则电阻之比为______,此时它们的电功率之比为______;若将这两个电阻串联起来,它们的电压之比为______,电功率之比为______.
(1)两电阻并联时,各支路两端的电压相等,
∵I=
U
R

R
R
=
U
I
U
I 
=
I
I
=
3
2

∵P=UI,
P
P
=
UI
UI
=
I
I
=
2
3

(2)两电阻串联时,通过他们的电流相等,
∵U=IR,
U
U
=
IR
IR
=
R
R
=
3
2

∵P=I2R,
P′
P′乙
=
I2R
I2R
=
R
R
=
3
2

故答案为:3:2;2:3;3:2;3:2.
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