三个阻值相同的电阻串联的总电阻为9Ω,若将它们并联起来,则总电阻为

\u4e09\u4e2a\u963b\u503c\u76f8\u540c\u7684\u7535\u963b\u4e32\u8054\u7684\u603b\u7535\u963b\u4e3a9\u03a9\uff0c\u82e5\u5c06\u5b83\u4eec\u5e76\u8054\u8d77\u6765\uff0c\u5219\u603b\u7535\u963b\u4e3a______

\u8bbe\u4e09\u4e2a\u963b\u503c\u76f8\u7b49\u7684\u7535\u963b\u963b\u503c\u4e3aR\uff0c\u4e32\u8054\u540e\u7684\u603b\u7535\u963bR\u2032=3R=9\u03a9\uff0c\u6240\u4ee5R=3\u03a9\uff1b\u5e76\u8054\u540e\u7684\u603b\u7535\u963bR\u2033=1nR=13\u00d73\u03a9=1\u03a9\uff0e\u6545\u7b54\u6848\u4e3a\uff1a1\u03a9\uff0e

\u8bbe\u4e09\u4e2a\u963b\u503c\u76f8\u7b49\u7684\u7535\u963b\u963b\u503c\u4e3aR\uff0c\u4e32\u8054\u540e\u7684\u603b\u7535\u963bR\u2032=3R=9\u03a9\uff0c\u6240\u4ee5R=3\u03a9\uff1b\u5e76\u8054\u540e\u7684\u603b\u7535\u963bR\u2033=1nR=13\u00d73\u03a9=1\u03a9\uff0e\u6545\u9009A\uff0e

设三个阻值相等的电阻阻值为R,
串联后的总电阻R′=3R=9Ω,
所以R=3Ω;
并联后的总电阻R″=
1
n
R=
1
3
×3Ω=1Ω.
故答案为:1Ω.


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