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    2019-2020學年高中物理全冊模塊要點回眸第9點電磁感應現象中的能量問題學案粵教版選修3-2
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    第9點 電磁感應現象中的能量問題
    產生和維持感應電流的存在的過程就是其他形式的能量轉化為感應電流電能的過程.在電磁感應現象中,認真分析電磁感應過程中的能量轉化,熟練地應用能量守恒定律是求解較復雜的電磁感應問題的常用方法.
    1.過程分析
    (1)電磁感應現象中產生感應電流的過程,實質上是能量的轉化過程.
    (2)電磁感應過程中產生的感應電流在磁場中必定受到安培力的作用,因此,要維持感應電流的存在,必須有“外力”克服安培力做功.此過程中,其他形式的能轉化為電能.“外力”克服安培力做了多少功,就有多少其他形式的能轉化為電能.
    (3)當感應電流通過用電器時,電能又轉化為其他形式的能.安培力做功的過程,是電能轉化為其他形式能的過程.安培力做了多少功,就有多少電能轉化為其他形式的能.
    2.解決此類問題的步驟
    (1)用法拉第電磁感應定律和楞次定律(包括右手定則)確定感應電動勢的大小和方向.
    (2)畫出等效電路圖,寫出回路中電阻消耗的電功率的表達式.
    (3)分析導體機械能的變化,用能量守恒關系得到機械功率的改變與回路中電功率的改變所滿足的方程,聯立求解.
    說明:在利用能量守恒定律解決電磁感應中的能量問題時,參與轉化的能量的種類一定要考慮周全.哪些能量增加,哪些能量減少,要考慮準確,最后根據所滿足的規律列方程分析求解.
    3.焦耳熱Q的兩種求解方法
    Q的兩種求法
    對點例題1  (多選)如圖1所示,固定的豎直光滑U形金屬導軌,間距為L,上端接有阻值為R的電阻,處在方向水平且垂直于導軌平面、磁感應強度為B的勻強磁場中,質量為m、接入電路的電阻為r的導體棒與勁度系數為k的固定輕彈簧相連放在導軌上,導軌的電阻忽略不計.初始時刻,彈簧處于伸長狀態,其伸長量為x1,此時導體棒具有豎直向上的初速度v0.在沿導軌往復運動的過程中,導體棒始終與導軌垂直并保持良好接觸.則下列說法正確的是(  )
    1
    A.初始時刻導體棒受到的安培力大小F
    B.初始時刻導體棒加速度的大小a2g
    C.導體棒往復運動,最終靜止時彈簧處于壓縮狀態
    D.導體棒開始運動直到最終靜止的過程中,電阻R上產生的焦耳熱Qmv
    解題指導 由法拉第電磁感應定律得:EBLv0,由閉合電路的歐姆定律得:I,由安培力公式得:F,故A錯誤;初始時刻,Fmgkx1ma,得a2g,故B正確;因為導體棒靜止時不受安培力,只受重力和彈簧的彈力,故彈簧處于壓縮狀態,故C正確;根據能量守恒定律,減小的動能和重力勢能全都轉化為焦耳熱,但R上的只是一部分,故D錯誤.
    答案 BC
    對點例題2  如圖2甲所示,足夠長的光滑平行導軌MNPQ傾斜放置,兩導軌間距離為L1.0m,導軌平面與水平面間的夾角為θ30°,磁感應強度為B的勻強磁場垂直于導軌平面向上,導軌的MP兩端連接阻值為R3.0Ω的電阻,金屬棒ab垂直于導軌放置并用平行于導軌的細線通過光滑定滑輪與重物相連,金屬棒ab的質量m0.20kg,電阻r0.50Ω,重物的質量M0.60kg,如果將金屬棒和重物由靜止釋放,金屬棒沿斜面上滑的距離與時間的關系圖象如圖乙所示,不計導軌電阻,g10m/s2.求:
    2
    (1)磁感應強度B的大小;
    (2)0.6s內通過電阻R的電荷量;
    (3)0.6s內電阻R產生的熱量.
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