<多選題>如圖6所示,磁場垂直插入紙面,使通過正方形迴路 \(ABCD\) 的磁通量,穩定地以1.0T m\(^2\)/s的時間變化率增加。\(AB\)段與\(CD\)段的電阻分別為0.6kΩ與0.4kΩ。將伏特計\(V_1\)與\(V_2\)的正極(+)分別接到\(A、D\)點,負極(−)分別接到\(B、C\)點,測得的電壓值分別為\(V_1\)與\(V_2\)。假設迴路上應電流\(I\)產生的磁場與通過伏特計的電流均可忽略,則下列選項中哪些關係式可能是正確的?

(A) \(I = 1mA\)
(B) \(I = 1μA\)
(C) \(V_1 = V_2 = 0.6V\)
(D) \(V_1 = -0.6V\),\(V_2 = 0.4V\)
(E) \(V_1 = 0.6V\),\(V_2 = 0.4V\)
答案
感應電動勢 \( \varepsilon = \frac{\Delta \Phi}{\Delta t} = 1.0 \) V。總電阻 \( R = 0.6 + 0.4 = 1.0 \) kΩ,感應電流 \( I = \frac{\varepsilon}{R} = 1 \) mA,(A)對(B)錯。電流逆時針,\( V_1 = V_{AB} = -I R_{AB} = -1 \times 0.6 = -0.6 \) V,\( V_2 = V_{DC} = I R_{DC} = 1 \times 0.4 = 0.4 \) V,(D)對(C)(E)錯。選(A)(D)。 報錯
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