两个电阻R1=12Ω,R2=4Ω,串联起来接入电路,那么通过它们的电流之比为________,两个电阻两端的电压之比为________;若R1与R2并联,通过它们的电流之比为________,两电阻两端的电压之比为________.
1:1 3:1 1:3 1:1
分析:两电阻串联,则由串联电路的电流规律可得电流相等;由欧姆定律可得出电压之比;
若两电阻并联,则两电阻两端的电压相等;由欧姆定律可求得电流之比.
解答:
因两电阻串联,故通过两电阻的电流相等,即电流之比为1:1,
由欧姆定律U=IR得:U
1=IR
1,U
2=IR
2,
即电压之比:
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=
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=
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=
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;
若两电阻并联,则两电阻两端的电压相等,即电压之比为1:1,
由欧姆定律得:I
1=
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,I
2=
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,
即电流之比为:
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=
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=
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=
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.
故答案为:1:1,3:1,1:3,1:1.
点评:本题考查串、并联电路中的规律及欧姆定律的使用,要求学生熟练掌握串、并联电路的规律并能灵活应用欧姆定律.