有關電阻的問題

2007-09-08 5:44 am
列明算式

已知:(R1)=6Ω ,(R2)=9Ω,
且(R1)與(R3)串聯接到某電源上,(R3)兩端的電壓為4V ;
(R2)與(R3)串聯接到同一電源上,(R3)兩端的電壓為3V.
求:(一) (R3)的電阻 (二)電源電壓

回答 (1)

2007-09-08 6:05 am
✔ 最佳答案
R₃=3 Ω
voltage of the power supply=12 V

Let V be the voltage of the power supply
V/(R₁+R₃)= 4/ R₃
V/(6+R₃)= 4/ R₃ (1)

V/(R₂+R₃)= 3/ R₃
V/(9+R₃)= 3/ R₃ (2)

Since V≠0 and R₃≠0, (1)/(2) we have
(9+R₃) /(6+R₃)=4/3
27+3R₃=24+4R₃
R₃=3 Ω

Substitute R₃=3 into (1)
V/(6+3)=4/3
V=12 V
參考: 自己


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